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MARC Lista (tabellare)
Path integrals, hyperbolic spaces and Selberg trace formulae / / Christian Grosche, Universitat Hamburg & Stadtteilschule Walddorfer, Germany
Path integrals, hyperbolic spaces and Selberg trace formulae / / Christian Grosche, Universitat Hamburg & Stadtteilschule Walddorfer, Germany
Autore Grosche C (Christian), <1956->
Edizione [Second edition.]
Pubbl/distr/stampa New Jersey : , : World Scientific, , [2013]
Descrizione fisica 1 online resource (xvi, 372 pages) : illustrations (some color)
Disciplina 530.12
Collana Gale eBooks
Soggetto topico Path integrals
Selberg trace formula
Quantum field theory
Mathematical physics
ISBN 981-4460-08-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction -- 2. Path integrals in quantum mechanics. 2.1. The Feynman path integral. 2.2. Defining the path integral. 2.3. Transformation techniques. 2.4. Group path integration. 2.5. Klein-Gordon particle. 2.6. Basic path integrals -- 3. Separable coordinate systems on spaces of constant curvature. 3.1. Separation of variables and breaking of symmetry. 3.2. Classification of coordinate systems. 3.3. Coordinate systems in spaces of constant curvature -- 4. Path integrals in pseudo-Euclidean geometry. 4.1. The pseudo-Euclidean plane. 4.2. Three-dimensional pseudo-Euclidean space -- 5. Path integrals in Euclidean spaces. 5.1. Two-dimensional Euclidean space. 5.2. Three-dimensional Euclidean space -- 6. Path integrals on spheres. 6.1. The two-dimensional sphere. 6.2. The three-dimensional sphere -- 7. Path integrals on hyperboloids. 7.1. The two-dimensional pseudosphere. 7.2. The three-dimensional pseudosphere -- 8. Path integral on the complex sphere. 8.1. The two-dimensional complex sphere. 8.2. The three-dimensional complex sphere. 8.3. Path integral evaluations on the complex sphere -- 9. Path integrals on Hermitian hyperbolic space. 9.1. Hermitian hyperbolic space HH(2). 9.2. Path integral evaluations on HH(2) -- 10. Path integrals on Darboux spaces. 10.1. Two-dimensional Darboux spaces. 10.2. Path integral evaluations. 10.3. Three-dimensional Darboux spaces -- 11. Path integrals on single-sheeted hyperboloids. 11.1. The two-dimensional single-sheeted hyperboloid -- 12. Miscellaneous results on path integration. 12.1. The D-dimensional pseudosphere. 12.2. Hyperbolic rank-one spaces. 12.3. Path integral on SU(n) and SU(n-1,1) -- 13. Billiard systems and periodic orbit theory. 13.1. Some elements of periodic orbit theory. 13.2. A billiard system in a hyperbolic rectangle. 13.3. Other integrable billiards in two and three dimensions. 13.4. Numerical investigation of integrable billiard systems -- 14. The Selberg trace formula. 14.1. The Selberg trace formula in mathematical physics. 14.2. Applications and generalizations. 14.3. The Selberg trace formula on Riemann surfaces. 14.4. The Selberg trace formula on bordered Riemann surfaces -- 15. The Selberg super-trace formula. 15.1. Automorphisms on super-Riemann surfaces. 15.2. Selberg super-zeta-functions. 15.3. Super-determinants of Dirac operators. 15.4. The Selberg super-trace formula on bordered super-Riemann surfaces. 15.5. Selberg super-zeta-functions. 15.6. Super-determinants of Dirac operators. 15.7. Asymptotic distributions on super-Riemann surfaces -- 16. Summary and discussion. 16.1. Results on path integrals. 16.2. Results on trace formulæ. 16.3. Miscellaneous results, final remarks, and outlook.
Record Nr. UNINA-9910790429303321
Grosche C (Christian), <1956->  
New Jersey : , : World Scientific, , [2013]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Path integrals, hyperbolic spaces and Selberg trace formulae / / Christian Grosche, Universitat Hamburg & Stadtteilschule Walddorfer, Germany
Path integrals, hyperbolic spaces and Selberg trace formulae / / Christian Grosche, Universitat Hamburg & Stadtteilschule Walddorfer, Germany
Autore Grosche C (Christian), <1956->
Edizione [Second edition.]
Pubbl/distr/stampa New Jersey : , : World Scientific, , [2013]
Descrizione fisica 1 online resource (xvi, 372 pages) : illustrations (some color)
Disciplina 530.12
Collana Gale eBooks
Soggetto topico Path integrals
Selberg trace formula
Quantum field theory
Mathematical physics
ISBN 981-4460-08-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto 1. Introduction -- 2. Path integrals in quantum mechanics. 2.1. The Feynman path integral. 2.2. Defining the path integral. 2.3. Transformation techniques. 2.4. Group path integration. 2.5. Klein-Gordon particle. 2.6. Basic path integrals -- 3. Separable coordinate systems on spaces of constant curvature. 3.1. Separation of variables and breaking of symmetry. 3.2. Classification of coordinate systems. 3.3. Coordinate systems in spaces of constant curvature -- 4. Path integrals in pseudo-Euclidean geometry. 4.1. The pseudo-Euclidean plane. 4.2. Three-dimensional pseudo-Euclidean space -- 5. Path integrals in Euclidean spaces. 5.1. Two-dimensional Euclidean space. 5.2. Three-dimensional Euclidean space -- 6. Path integrals on spheres. 6.1. The two-dimensional sphere. 6.2. The three-dimensional sphere -- 7. Path integrals on hyperboloids. 7.1. The two-dimensional pseudosphere. 7.2. The three-dimensional pseudosphere -- 8. Path integral on the complex sphere. 8.1. The two-dimensional complex sphere. 8.2. The three-dimensional complex sphere. 8.3. Path integral evaluations on the complex sphere -- 9. Path integrals on Hermitian hyperbolic space. 9.1. Hermitian hyperbolic space HH(2). 9.2. Path integral evaluations on HH(2) -- 10. Path integrals on Darboux spaces. 10.1. Two-dimensional Darboux spaces. 10.2. Path integral evaluations. 10.3. Three-dimensional Darboux spaces -- 11. Path integrals on single-sheeted hyperboloids. 11.1. The two-dimensional single-sheeted hyperboloid -- 12. Miscellaneous results on path integration. 12.1. The D-dimensional pseudosphere. 12.2. Hyperbolic rank-one spaces. 12.3. Path integral on SU(n) and SU(n-1,1) -- 13. Billiard systems and periodic orbit theory. 13.1. Some elements of periodic orbit theory. 13.2. A billiard system in a hyperbolic rectangle. 13.3. Other integrable billiards in two and three dimensions. 13.4. Numerical investigation of integrable billiard systems -- 14. The Selberg trace formula. 14.1. The Selberg trace formula in mathematical physics. 14.2. Applications and generalizations. 14.3. The Selberg trace formula on Riemann surfaces. 14.4. The Selberg trace formula on bordered Riemann surfaces -- 15. The Selberg super-trace formula. 15.1. Automorphisms on super-Riemann surfaces. 15.2. Selberg super-zeta-functions. 15.3. Super-determinants of Dirac operators. 15.4. The Selberg super-trace formula on bordered super-Riemann surfaces. 15.5. Selberg super-zeta-functions. 15.6. Super-determinants of Dirac operators. 15.7. Asymptotic distributions on super-Riemann surfaces -- 16. Summary and discussion. 16.1. Results on path integrals. 16.2. Results on trace formulæ. 16.3. Miscellaneous results, final remarks, and outlook.
Record Nr. UNINA-9910821665503321
Grosche C (Christian), <1956->  
New Jersey : , : World Scientific, , [2013]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum Dissipative Systems [[electronic resource]]
Quantum Dissipative Systems [[electronic resource]]
Autore Weiss Ulrich
Edizione [4th ed.]
Pubbl/distr/stampa Singapore, : World Scientific Publishing Company, 2012
Descrizione fisica 1 online resource (587 p.)
Disciplina 530.12
Soggetto topico Mathematical physics
Path integrals
Quantum theory
Thermodynamics
Physics
Physical Sciences & Mathematics
Atomic Physics
Soggetto genere / forma Electronic books.
ISBN 1-280-66982-9
9786613646750
981-4374-92-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; Contents; 1 Introduction; I GENERAL THEORY OF OPEN QUANTUM SYSTEMS; 2 Diverse limited approaches: a brief survey; 2.1 Langevin equation for a damped classical system; 2.2 New schemes of quantization; 2.3 Traditional system-plus-reservoir methods; 2.3.1 Quantum-mechanical master equations for weak coupling; 2.3.2 Lindblad theory; 2.3.3 Operator Langevin equations for weak coupling; 2.3.4 Generalized quantum Langevin equation; 2.3.5 Generalized quasiclassical Langevin equation
2.3.6 Phenomenological methods2.4 Stochastic dynamics in Hilbert space; 3 System-plus-reservoir models; 3.1 Harmonic oscillator bath with linear coupling; 3.1.1 The Hamiltonian of the global system; 3.1.2 The road to generalized Langevin equations; 3.1.3 Phenomenological modeling of friction; 3.1.4 Quantum statistical properties of the stochastic force; 3.1.5 Displacement correlation function; 3.1.6 Thermal propagator and imaginary-time correlations; 3.1.7 Ohmic and frequency-dependent damping; 3.1.8 Fractional Langevin equation; 3.1.9 Rubin model
3.1.10 Interaction of a charged particle with the radiation field3.2 Ergodicity; 3.3 The spin-boson model; 3.3.1 The model Hamiltonian; 3.3.2 Flux and charge qubits: reduction to the spin-boson model; 3.4 Microscopic models; 3.4.1 Acoustic polaron: one-phonon and two-phonon coupling; 3.4.2 Optical polaron; 3.4.3 Interaction with fermions (normal and superconducting); 3.4.4 Superconducting tunnel junction; 3.5 Charging and environmental effects in tunnel junctions; 3.5.1 The global system for single electron tunneling; 3.5.2 Resistor, inductor, and transmission lines
3.5.3 Charging effects in junctions3.6 Nonlinear quantum environments; 4 Imaginary-time approach and equilibrium dynamics; 4.1 General concepts; 4.1.1 Density matrix and reduced density matrix; 4.1.2 Imaginary-time path integral; 4.2 Effective action and equilibrium density matrix; 4.2.1 Open system with bilinear coupling to a harmonic reservoir; 4.2.2 State-dependent memory friction; 4.2.3 Spin-boson model; 4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling; 4.2.5 Acoustic polaron: two-phonon coupling; 4.2.6 Tunneling between surfaces: one-phonon coupling; 4.2.7 Optical polaron
4.2.8 Heavy particle in a metal4.2.9 Heavy particle in a superconductor; 4.2.10 Effective action of a junction; 4.2.11 Electromagnetic environment; 4.3 Partition function of the open system; 4.3.1 General path integral expression; 4.3.2 Semiclassical approximation; 4.3.3 Partition function of the damped harmonic oscillator; 4.3.4 Functional measure in Fourier space; 4.3.5 Partition function of the damped harmonic oscillator revisited; 4.4 Quantum statistical expectation values in phase space; 4.4.1 Generalized Weyl correspondence; 4.4.2 Generalized Wigner function and expectation values
5 Real-time path integrals and nonequilibrium dynamics
Record Nr. UNINA-9910451855003321
Weiss Ulrich  
Singapore, : World Scientific Publishing Company, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum Dissipative Systems [[electronic resource]]
Quantum Dissipative Systems [[electronic resource]]
Autore Weiss Ulrich
Edizione [4th ed.]
Pubbl/distr/stampa Singapore, : World Scientific Publishing Company, 2012
Descrizione fisica 1 online resource (587 p.)
Disciplina 530.12
Soggetto topico Mathematical physics
Path integrals
Quantum theory
Thermodynamics
Physics
Physical Sciences & Mathematics
Atomic Physics
ISBN 1-280-66982-9
9786613646750
981-4374-92-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; Contents; 1 Introduction; I GENERAL THEORY OF OPEN QUANTUM SYSTEMS; 2 Diverse limited approaches: a brief survey; 2.1 Langevin equation for a damped classical system; 2.2 New schemes of quantization; 2.3 Traditional system-plus-reservoir methods; 2.3.1 Quantum-mechanical master equations for weak coupling; 2.3.2 Lindblad theory; 2.3.3 Operator Langevin equations for weak coupling; 2.3.4 Generalized quantum Langevin equation; 2.3.5 Generalized quasiclassical Langevin equation
2.3.6 Phenomenological methods2.4 Stochastic dynamics in Hilbert space; 3 System-plus-reservoir models; 3.1 Harmonic oscillator bath with linear coupling; 3.1.1 The Hamiltonian of the global system; 3.1.2 The road to generalized Langevin equations; 3.1.3 Phenomenological modeling of friction; 3.1.4 Quantum statistical properties of the stochastic force; 3.1.5 Displacement correlation function; 3.1.6 Thermal propagator and imaginary-time correlations; 3.1.7 Ohmic and frequency-dependent damping; 3.1.8 Fractional Langevin equation; 3.1.9 Rubin model
3.1.10 Interaction of a charged particle with the radiation field3.2 Ergodicity; 3.3 The spin-boson model; 3.3.1 The model Hamiltonian; 3.3.2 Flux and charge qubits: reduction to the spin-boson model; 3.4 Microscopic models; 3.4.1 Acoustic polaron: one-phonon and two-phonon coupling; 3.4.2 Optical polaron; 3.4.3 Interaction with fermions (normal and superconducting); 3.4.4 Superconducting tunnel junction; 3.5 Charging and environmental effects in tunnel junctions; 3.5.1 The global system for single electron tunneling; 3.5.2 Resistor, inductor, and transmission lines
3.5.3 Charging effects in junctions3.6 Nonlinear quantum environments; 4 Imaginary-time approach and equilibrium dynamics; 4.1 General concepts; 4.1.1 Density matrix and reduced density matrix; 4.1.2 Imaginary-time path integral; 4.2 Effective action and equilibrium density matrix; 4.2.1 Open system with bilinear coupling to a harmonic reservoir; 4.2.2 State-dependent memory friction; 4.2.3 Spin-boson model; 4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling; 4.2.5 Acoustic polaron: two-phonon coupling; 4.2.6 Tunneling between surfaces: one-phonon coupling; 4.2.7 Optical polaron
4.2.8 Heavy particle in a metal4.2.9 Heavy particle in a superconductor; 4.2.10 Effective action of a junction; 4.2.11 Electromagnetic environment; 4.3 Partition function of the open system; 4.3.1 General path integral expression; 4.3.2 Semiclassical approximation; 4.3.3 Partition function of the damped harmonic oscillator; 4.3.4 Functional measure in Fourier space; 4.3.5 Partition function of the damped harmonic oscillator revisited; 4.4 Quantum statistical expectation values in phase space; 4.4.1 Generalized Weyl correspondence; 4.4.2 Generalized Wigner function and expectation values
5 Real-time path integrals and nonequilibrium dynamics
Record Nr. UNINA-9910779280403321
Weiss Ulrich  
Singapore, : World Scientific Publishing Company, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum Dissipative Systems [[electronic resource]]
Quantum Dissipative Systems [[electronic resource]]
Autore Weiss Ulrich
Edizione [4th ed.]
Pubbl/distr/stampa Singapore, : World Scientific Publishing Company, 2012
Descrizione fisica 1 online resource (587 p.)
Disciplina 530.12
Soggetto topico Mathematical physics
Path integrals
Quantum theory
Thermodynamics
Physics
Physical Sciences & Mathematics
Atomic Physics
ISBN 1-280-66982-9
9786613646750
981-4374-92-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface; Preface to the Third Edition; Preface to the Second Edition; Preface to the First Edition; Contents; 1 Introduction; I GENERAL THEORY OF OPEN QUANTUM SYSTEMS; 2 Diverse limited approaches: a brief survey; 2.1 Langevin equation for a damped classical system; 2.2 New schemes of quantization; 2.3 Traditional system-plus-reservoir methods; 2.3.1 Quantum-mechanical master equations for weak coupling; 2.3.2 Lindblad theory; 2.3.3 Operator Langevin equations for weak coupling; 2.3.4 Generalized quantum Langevin equation; 2.3.5 Generalized quasiclassical Langevin equation
2.3.6 Phenomenological methods2.4 Stochastic dynamics in Hilbert space; 3 System-plus-reservoir models; 3.1 Harmonic oscillator bath with linear coupling; 3.1.1 The Hamiltonian of the global system; 3.1.2 The road to generalized Langevin equations; 3.1.3 Phenomenological modeling of friction; 3.1.4 Quantum statistical properties of the stochastic force; 3.1.5 Displacement correlation function; 3.1.6 Thermal propagator and imaginary-time correlations; 3.1.7 Ohmic and frequency-dependent damping; 3.1.8 Fractional Langevin equation; 3.1.9 Rubin model
3.1.10 Interaction of a charged particle with the radiation field3.2 Ergodicity; 3.3 The spin-boson model; 3.3.1 The model Hamiltonian; 3.3.2 Flux and charge qubits: reduction to the spin-boson model; 3.4 Microscopic models; 3.4.1 Acoustic polaron: one-phonon and two-phonon coupling; 3.4.2 Optical polaron; 3.4.3 Interaction with fermions (normal and superconducting); 3.4.4 Superconducting tunnel junction; 3.5 Charging and environmental effects in tunnel junctions; 3.5.1 The global system for single electron tunneling; 3.5.2 Resistor, inductor, and transmission lines
3.5.3 Charging effects in junctions3.6 Nonlinear quantum environments; 4 Imaginary-time approach and equilibrium dynamics; 4.1 General concepts; 4.1.1 Density matrix and reduced density matrix; 4.1.2 Imaginary-time path integral; 4.2 Effective action and equilibrium density matrix; 4.2.1 Open system with bilinear coupling to a harmonic reservoir; 4.2.2 State-dependent memory friction; 4.2.3 Spin-boson model; 4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling; 4.2.5 Acoustic polaron: two-phonon coupling; 4.2.6 Tunneling between surfaces: one-phonon coupling; 4.2.7 Optical polaron
4.2.8 Heavy particle in a metal4.2.9 Heavy particle in a superconductor; 4.2.10 Effective action of a junction; 4.2.11 Electromagnetic environment; 4.3 Partition function of the open system; 4.3.1 General path integral expression; 4.3.2 Semiclassical approximation; 4.3.3 Partition function of the damped harmonic oscillator; 4.3.4 Functional measure in Fourier space; 4.3.5 Partition function of the damped harmonic oscillator revisited; 4.4 Quantum statistical expectation values in phase space; 4.4.1 Generalized Weyl correspondence; 4.4.2 Generalized Wigner function and expectation values
5 Real-time path integrals and nonequilibrium dynamics
Record Nr. UNINA-9910823685403321
Weiss Ulrich  
Singapore, : World Scientific Publishing Company, 2012
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum dissipative systems [[electronic resource] /] / Ulrich Weiss
Quantum dissipative systems [[electronic resource] /] / Ulrich Weiss
Autore Weiss U (Ulrich)
Edizione [3rd ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, c2008
Descrizione fisica 1 online resource (527 p.)
Disciplina 530.12
Collana Series in modern condensed matter physics
Soggetto topico Quantum theory
Mathematical physics
Thermodynamics
Path integrals
Soggetto genere / forma Electronic books.
ISBN 1-281-93400-3
9786611934002
981-279-179-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Preface to the Second Edition; Acknowledgements; Preface to the First Edition; 1 Introduction; I GENERAL THEORY OF OPEN QUANTUM SYSTEMS; 2 Diverse limited approaches: a brief survey; 2.1 Langevin equation for a damped classical system; 2.2 New schemes of quantization; 2.3 Traditional system-plus-reservoir methods; 2.3.1 Quantum-mechanical master equations for weak coupling; 2.3.2 Operator Langevin equations for weak coupling; 2.3.3 Quantum and quasiclassical Langevin equation; 2.3.4 Phenomenological methods; 2.4 Stochastic dynamics in Hilbert space
3 System-plus-reservoir models3.1 Harmonic oscillator bath with linear coupling; 3.1.1 The Hamiltonian of the global system; 3.1.2 The road to the classical generalized Langevin equation; 3.1.3 Phenomenological modeling; 3.1.4 Quasiclassical Langevin equation; 3.1.5 Ohmic and frequency-dependent damping; 3.1.6 Rubin model; 3.2 The Spin-Boson model; 3.2.1 The model Hamiltonian; 3.2.2 Josephson two-state systems: flux and charge qubit; 3.3 Microscopic models; 3.3.1 Acoustic polaron: one-phonon and two-phonon coupling; 3.3.2 Optical polaron
3.3.3 Interaction with fermions (normal and superconducting)3.3.4 Superconducting tunnel junction; 3.4 Charging and environmental effects in tunnel junctions; 3.4.1 The global system €or single electron tunneling; 3.4.2 Resistor, inductor and transmission lines; 3.4.3 Charging effects in Josephson junctions; 3.5 Nonlinear quantum environments; 4 Imaginary-time path integrals; 4.1 The density matrix: general concepts; 4.2 Effective action and equilibrium density matrix; 4.2.1 Open system with bilinear coupling to a harmonic reservoir; 4.2.2 State-dependent memory-friction
4.2.3 Spin-boson model4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling; 4.2.5 Acoustic polaron: two-phonon coupling; 4.2.6 Tunneling between surfaces: one-phonon coupling; 4.2.7 Optical polaron; 4.2.8 Heavy particle in a metal; 4.2.9 Heavy particle in a superconductor; 4.2.10 Effective action for a Josephson junction; 4.2.11 Electromagnetic environment; 4.3 Partition function of the open system ; 4.3.1 General path integral expression; 4.3.2 Semiclassical approximation; 4.3.3 Partition function of the damped harmonic oscillator; 4.3.4 Functional measure in Fourier space
4.3.5 Partition function of the damped harmonic oscillator revisited 4.4Quantum statistical expectation values in phase space; 4.4.1 Generalized Weyl correspondence; 4.4.2 Generalized Wigner function and expectation values; 5 Real-time path integrals and dynamics; 5.1 Feynman-Vernon method for a product initial state; 5.2 Decoherence and friction; 5.3 General initial states and preparation function; 5.4 Complex-time path integral for the propagating function; 5 5 Real-time path integral for the propagating function; 5.5.1 Extremal paths; 5.5.2 Classical limit
5.5.3 Semiclassical limit: quasiclassical Langevin equation
Record Nr. UNINA-9910453189003321
Weiss U (Ulrich)  
Singapore ; ; Hackensack, N.J., : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum dissipative systems [[electronic resource] /] / Ulrich Weiss
Quantum dissipative systems [[electronic resource] /] / Ulrich Weiss
Autore Weiss U (Ulrich)
Edizione [3rd ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, c2008
Descrizione fisica 1 online resource (527 p.)
Disciplina 530.12
Collana Series in modern condensed matter physics
Soggetto topico Quantum theory
Mathematical physics
Thermodynamics
Path integrals
ISBN 1-281-93400-3
9786611934002
981-279-179-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Preface to the Second Edition; Acknowledgements; Preface to the First Edition; 1 Introduction; I GENERAL THEORY OF OPEN QUANTUM SYSTEMS; 2 Diverse limited approaches: a brief survey; 2.1 Langevin equation for a damped classical system; 2.2 New schemes of quantization; 2.3 Traditional system-plus-reservoir methods; 2.3.1 Quantum-mechanical master equations for weak coupling; 2.3.2 Operator Langevin equations for weak coupling; 2.3.3 Quantum and quasiclassical Langevin equation; 2.3.4 Phenomenological methods; 2.4 Stochastic dynamics in Hilbert space
3 System-plus-reservoir models3.1 Harmonic oscillator bath with linear coupling; 3.1.1 The Hamiltonian of the global system; 3.1.2 The road to the classical generalized Langevin equation; 3.1.3 Phenomenological modeling; 3.1.4 Quasiclassical Langevin equation; 3.1.5 Ohmic and frequency-dependent damping; 3.1.6 Rubin model; 3.2 The Spin-Boson model; 3.2.1 The model Hamiltonian; 3.2.2 Josephson two-state systems: flux and charge qubit; 3.3 Microscopic models; 3.3.1 Acoustic polaron: one-phonon and two-phonon coupling; 3.3.2 Optical polaron
3.3.3 Interaction with fermions (normal and superconducting)3.3.4 Superconducting tunnel junction; 3.4 Charging and environmental effects in tunnel junctions; 3.4.1 The global system €or single electron tunneling; 3.4.2 Resistor, inductor and transmission lines; 3.4.3 Charging effects in Josephson junctions; 3.5 Nonlinear quantum environments; 4 Imaginary-time path integrals; 4.1 The density matrix: general concepts; 4.2 Effective action and equilibrium density matrix; 4.2.1 Open system with bilinear coupling to a harmonic reservoir; 4.2.2 State-dependent memory-friction
4.2.3 Spin-boson model4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling; 4.2.5 Acoustic polaron: two-phonon coupling; 4.2.6 Tunneling between surfaces: one-phonon coupling; 4.2.7 Optical polaron; 4.2.8 Heavy particle in a metal; 4.2.9 Heavy particle in a superconductor; 4.2.10 Effective action for a Josephson junction; 4.2.11 Electromagnetic environment; 4.3 Partition function of the open system ; 4.3.1 General path integral expression; 4.3.2 Semiclassical approximation; 4.3.3 Partition function of the damped harmonic oscillator; 4.3.4 Functional measure in Fourier space
4.3.5 Partition function of the damped harmonic oscillator revisited 4.4Quantum statistical expectation values in phase space; 4.4.1 Generalized Weyl correspondence; 4.4.2 Generalized Wigner function and expectation values; 5 Real-time path integrals and dynamics; 5.1 Feynman-Vernon method for a product initial state; 5.2 Decoherence and friction; 5.3 General initial states and preparation function; 5.4 Complex-time path integral for the propagating function; 5 5 Real-time path integral for the propagating function; 5.5.1 Extremal paths; 5.5.2 Classical limit
5.5.3 Semiclassical limit: quasiclassical Langevin equation
Record Nr. UNINA-9910782270303321
Weiss U (Ulrich)  
Singapore ; ; Hackensack, N.J., : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum dissipative systems [[electronic resource] /] / Ulrich Weiss
Quantum dissipative systems [[electronic resource] /] / Ulrich Weiss
Autore Weiss U (Ulrich)
Edizione [3rd ed.]
Pubbl/distr/stampa Singapore ; ; Hackensack, N.J., : World Scientific, c2008
Descrizione fisica 1 online resource (527 p.)
Disciplina 530.12
Collana Series in modern condensed matter physics
Soggetto topico Quantum theory
Mathematical physics
Thermodynamics
Path integrals
ISBN 1-281-93400-3
9786611934002
981-279-179-5
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents; Preface; Preface to the Second Edition; Acknowledgements; Preface to the First Edition; 1 Introduction; I GENERAL THEORY OF OPEN QUANTUM SYSTEMS; 2 Diverse limited approaches: a brief survey; 2.1 Langevin equation for a damped classical system; 2.2 New schemes of quantization; 2.3 Traditional system-plus-reservoir methods; 2.3.1 Quantum-mechanical master equations for weak coupling; 2.3.2 Operator Langevin equations for weak coupling; 2.3.3 Quantum and quasiclassical Langevin equation; 2.3.4 Phenomenological methods; 2.4 Stochastic dynamics in Hilbert space
3 System-plus-reservoir models3.1 Harmonic oscillator bath with linear coupling; 3.1.1 The Hamiltonian of the global system; 3.1.2 The road to the classical generalized Langevin equation; 3.1.3 Phenomenological modeling; 3.1.4 Quasiclassical Langevin equation; 3.1.5 Ohmic and frequency-dependent damping; 3.1.6 Rubin model; 3.2 The Spin-Boson model; 3.2.1 The model Hamiltonian; 3.2.2 Josephson two-state systems: flux and charge qubit; 3.3 Microscopic models; 3.3.1 Acoustic polaron: one-phonon and two-phonon coupling; 3.3.2 Optical polaron
3.3.3 Interaction with fermions (normal and superconducting)3.3.4 Superconducting tunnel junction; 3.4 Charging and environmental effects in tunnel junctions; 3.4.1 The global system €or single electron tunneling; 3.4.2 Resistor, inductor and transmission lines; 3.4.3 Charging effects in Josephson junctions; 3.5 Nonlinear quantum environments; 4 Imaginary-time path integrals; 4.1 The density matrix: general concepts; 4.2 Effective action and equilibrium density matrix; 4.2.1 Open system with bilinear coupling to a harmonic reservoir; 4.2.2 State-dependent memory-friction
4.2.3 Spin-boson model4.2.4 Acoustic polaron and defect tunneling: one-phonon coupling; 4.2.5 Acoustic polaron: two-phonon coupling; 4.2.6 Tunneling between surfaces: one-phonon coupling; 4.2.7 Optical polaron; 4.2.8 Heavy particle in a metal; 4.2.9 Heavy particle in a superconductor; 4.2.10 Effective action for a Josephson junction; 4.2.11 Electromagnetic environment; 4.3 Partition function of the open system ; 4.3.1 General path integral expression; 4.3.2 Semiclassical approximation; 4.3.3 Partition function of the damped harmonic oscillator; 4.3.4 Functional measure in Fourier space
4.3.5 Partition function of the damped harmonic oscillator revisited 4.4Quantum statistical expectation values in phase space; 4.4.1 Generalized Weyl correspondence; 4.4.2 Generalized Wigner function and expectation values; 5 Real-time path integrals and dynamics; 5.1 Feynman-Vernon method for a product initial state; 5.2 Decoherence and friction; 5.3 General initial states and preparation function; 5.4 Complex-time path integral for the propagating function; 5 5 Real-time path integral for the propagating function; 5.5.1 Extremal paths; 5.5.2 Classical limit
5.5.3 Semiclassical limit: quasiclassical Langevin equation
Record Nr. UNINA-9910822078203321
Weiss U (Ulrich)  
Singapore ; ; Hackensack, N.J., : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Quantum dissipative systems / Ulrich Weiss
Quantum dissipative systems / Ulrich Weiss
Autore Weiss, Ulrich
Edizione [3rd ed.]
Pubbl/distr/stampa Singapore ; Hackensack, N.J. : World Scientific, c2008
Descrizione fisica xviii, 507 p. : ill. ; 23 cm
Disciplina 530.12
Collana Series in modern condensed matter physics ; v. 13
Soggetto topico Quantum theory
Mathematical physics
Thermodynamics
Path integrals
ISBN 9789812791627 (pbk.)
Classificazione LC QC174.12
53.1.4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991003954209707536
Weiss, Ulrich  
Singapore ; Hackensack, N.J. : World Scientific, c2008
Materiale a stampa
Lo trovi qui: Univ. del Salento
Opac: Controlla la disponibilità qui