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Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
Autore Simeone Claudio
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2001
Descrizione fisica 1 online resource (152 p.)
Disciplina 523.1
Collana World scientific lecture notes in physics
Soggetto topico Quantum gravity
Space and time
Path integrals
Gauge invariance
Hamiltonian systems
Soggetto genere / forma Electronic books.
ISBN 981-277-837-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization
2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time
3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples
3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom
4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies
5.1 String theory on background fields
Record Nr. UNINA-9910458433803321
Simeone Claudio  
Singapore ; ; River Edge, NJ, : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
Autore Simeone Claudio
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2001
Descrizione fisica 1 online resource (152 p.)
Disciplina 523.1
Collana World scientific lecture notes in physics
Soggetto topico Quantum gravity
Space and time
Path integrals
Gauge invariance
Hamiltonian systems
ISBN 981-277-837-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization
2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time
3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples
3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom
4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies
5.1 String theory on background fields
Record Nr. UNINA-9910784876203321
Simeone Claudio  
Singapore ; ; River Edge, NJ, : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
Deparametrization and path integral quantization of cosmological models [[electronic resource] /] / Claudio Simeone
Autore Simeone Claudio
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2001
Descrizione fisica 1 online resource (152 p.)
Disciplina 523.1
Collana World scientific lecture notes in physics
Soggetto topico Quantum gravity
Space and time
Path integrals
Gauge invariance
Hamiltonian systems
ISBN 981-277-837-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Contents ; Preface ; Chapter 1 Introduction ; Chapter 2 The gravitational field as a constrained Hamiltonian system ; 2.1 Momentum and Hamiltonian constraints ; 2.2 Minisuperspaces as constrained systems ; 2.3 Quantization ; 2.3.1 Canonical quantization
2.3.2 Path integral quantization Chapter 3 Deparametrization and path integral quantization ; 3.1 The identification of time ; 3.1.1 Gauge fixation and deparametrization ; 3.1.2 Topology of the constraint surface: intrinsic and extrinsic time
3.2 Gauge-invariant action for a parametrized system 3.2.1 End point terms ; 3.2.2 Observables and time ; 3.2.3 Non separable constraints ; 3.3 Path integral ; 3.3.1 General formalism ; 3.3.2 The function f and the reduced Hamiltonian. Unitarity ; 3.4 Examples
3.4.1 Feynman propagator for the Klein-Gordon equation 3.4.2 The ideal clock ; 3.4.3 Transition probability for empty Friedmann-Robertson-Walker universes ; Chapter 4 Homogeneous relativistic cosmologies ; 4.1 Isotropic universes ; 4.1.1 A toy model ; 4.1.2 True degrees of freedom
4.1.3 A more general constraint 4.1.4 Extrinsic time. The closed ""de Sitter"" universe ; 4.1.5 Comment ; 4.2 Anisotropic universes ; 4.2.1 The Kantowski-Sachs universe ; 4.2.2 The Taub universe ; 4.2.3 Other anisotropic models ; Chapter 5 String cosmologies
5.1 String theory on background fields
Record Nr. UNINA-9910818619903321
Simeone Claudio  
Singapore ; ; River Edge, NJ, : World Scientific, c2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Field quantization / Walter Greiner, Joachim Reinhardt ; with a foreword by D.A. Bromley
Field quantization / Walter Greiner, Joachim Reinhardt ; with a foreword by D.A. Bromley
Autore Greiner, Walter
Pubbl/distr/stampa Berlin ; New York : Springer, c1996
Descrizione fisica xiv, 440 p. : ill. ; 25 cm
Disciplina 530.1/43
Altri autori (Persone) Reinhardt, Joachimauthor
Soggetto topico Quantum field theory
Path integrals
ISBN 3540591796
Classificazione LC QC174.45
53.3.11
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNISALENTO-991003402049707536
Greiner, Walter  
Berlin ; New York : Springer, c1996
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
Autore Das Ashok <1953->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (377 p.)
Disciplina 530.12
530.14/3
530.143
Collana World Scientific lecture notes in physics
Soggetto topico Path integrals
Quantum field theory
Soggetto genere / forma Electronic books.
ISBN 1-281-92465-2
9786611924652
981-277-326-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional
4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. Semi-Classical Methods; 7.1 WKB Approximation
7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion
10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics
14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index
Record Nr. UNINA-9910453115503321
Das Ashok <1953->  
Singapore ; ; River Edge, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
Autore Das Ashok <1953->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (377 p.)
Disciplina 530.12
530.14/3
530.143
Collana World Scientific lecture notes in physics
Soggetto topico Path integrals
Quantum field theory
ISBN 1-281-92465-2
9786611924652
981-277-326-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional
4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. Semi-Classical Methods; 7.1 WKB Approximation
7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion
10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics
14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index
Record Nr. UNINA-9910782499303321
Das Ashok <1953->  
Singapore ; ; River Edge, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
Field theory [[electronic resource] ] : a path integral approach / / Ashok Das
Autore Das Ashok <1953->
Edizione [2nd ed.]
Pubbl/distr/stampa Singapore ; ; River Edge, NJ, : World Scientific, c2006
Descrizione fisica 1 online resource (377 p.)
Disciplina 530.12
530.14/3
530.143
Collana World Scientific lecture notes in physics
Soggetto topico Path integrals
Quantum field theory
ISBN 1-281-92465-2
9786611924652
981-277-326-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Preface to the First Edition; Preface to the Second Edition; Contents; 1. Introduction; 1.1 Particles and Fields; 1.2 Metric and Other Notations; 1.3 Functionals; 1.4 Review of Quantum Mechanics; 1.5 References; 2. Path Integrals and Quantum Mechanics; 2.1 Basis States; 2.2 Operator Ordering; 2.3 The Classical Limit; 2.4 Equivalence with the Schrodinger Equation; 2.5 Free Particle; 2.6 References; 3. Harmonic Oscillator; 3.1 Path Integral for the Harmonic Oscillator; 3.2 Method of Fourier Transform; 3.3 Matrix Method; 3.4 The Classical Action; 3.5 References; 4. Generating Functional
4.1 Euclidean Rotation4.2 Time Ordered Correlation Functions; 4.3 Correlation Functions in Definite States; 4.4 Vacuum Functional; 4.5 Anharmonic Oscillator; 4.6 References; 5. Path Integrals for Fermions; 5.1 Fermionic Oscillator; 5.2 Grassmann Variables; 5.3 Generating Functional; 5.4 Feynman Propagator; 5.5 The Fermion Determinant; 5.6 References; 6. Supersymmetry; 6.1 Supersymmetric Oscillator; 6.2 Supersymmetric Quantum Mechanics; 6.3 Shape Invariance; 6.4 Example; 6.5 Supersymmetry and Singular Potentials; 6.6 References; 7. Semi-Classical Methods; 7.1 WKB Approximation
7.2 Saddle Point Method7.3 Semi-Classical Methods in Path Integrals; 7.4 Double Well Potential; 7.5 References; 8. Path Integral for the Double Well; 8.1 Instantons; 8.2 Zero Modes; 8.3 The Instanton Integral; 8.4 Evaluating the Determinant; 8.5 Multi-Instanton Contributions; 8.6 References; 9. Path Integral for Relativistic Theories; 9.1 Systems with Many Degrees of Freedom; 9.2 Relativistic Scalar Field Theory; 9.3 Feynman Rules; 9.4 Connected Diagrams; 9.5 References; 10. Effective Action; 10.1 The Classical Field; 10.2 Effective Action; 10.3 Loop Expansion
10.4 Effective Potential at One Loop10.5 References; 11. Invariances and Their Consequences; 11.1 Symmetries of the Action; 11.2 Noether's Theorem; 11.3 Complex Scalar Field; 11.4 Ward Identities; 11.5 Spontaneous Symmetry Breaking; 11.6 Goldstone Theorem; 11.7 References; 12. Gauge Theories; 12.1 Maxwell Theory; 12.2 Non-Abelian Gauge Theory; 12.3 Path Integral for Gauge Theories; 12.4 BRST Invariance; 12.5 Ward Identities; 12.6 References; 13. Anomalies; 13.1 Anomalous Ward Identity; 13.2 Schwinger Model; 13.3 References; 14. Systems at Finite Temperature; 14.1 Statistical Mechanics
14.2 Critical Exponents14.3 Harmonic Oscillator; 14.4 Fermionic Oscillator; 14.5 References; 15. Ising Model; 15.1 One Dimensional Ising Model; 15.2 The Partition Function; 15.3 Two Dimensional Ising Model; 15.4 Duality; 15.5 High and Low Temperature Expansions; 15.6 Quantum Mechanical Model; 15.7 Duality in the Quantum System; 15.8 References; Index
Record Nr. UNINA-9910812310903321
Das Ashok <1953->  
Singapore ; ; River Edge, NJ, : World Scientific, c2006
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Field theory : a modern primer / Pierre Ramond
Field theory : a modern primer / Pierre Ramond
Autore Ramond, Pierre
Edizione [2nd ed.]
Pubbl/distr/stampa New York : Addison-Wesley Publ. Co., 1989
Descrizione fisica xix, 329 p. : ill. ; 24 cm.
Collana Frontiers in physics / David Pines ; 74
Soggetto topico Path integrals
ISBN 0201157721
Classificazione 53.3.11
530.1'43
QC174.45
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000945029707536
Ramond, Pierre  
New York : Addison-Wesley Publ. Co., 1989
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Handbook of Feynman path integrals / C. Grosche, F. Steiner
Handbook of Feynman path integrals / C. Grosche, F. Steiner
Autore Grosche, C.
Pubbl/distr/stampa Berlin ; New York : Springer Verlag, c1998
Descrizione fisica x, 449 p. ; 24 cm.
Altri autori (Persone) Steiner, F.
Collana Springer tracts in modern physics ; 145
Soggetto topico Feynman integrals
Path integrals
ISBN 3540571353
Classificazione 53.1.4
53.3.11
530.12
QC174.17.P27
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNISALENTO-991000987889707536
Grosche, C.  
Berlin ; New York : Springer Verlag, c1998
Materiale a stampa
Lo trovi qui: Univ. del Salento
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Mathematical theory of Feynman path integrals / / Sergio Albeverio, Raphael Höegh-Krohn
Mathematical theory of Feynman path integrals / / Sergio Albeverio, Raphael Höegh-Krohn
Autore Albeverio S. A. Sergio
Edizione [1st ed. 1976.]
Pubbl/distr/stampa Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1976]
Descrizione fisica 1 online resource (X, 186 p.)
Disciplina 515.353
Collana Lecture notes in mathematics (Springer-Verlag)
Soggetto topico Differential equations, Partial
Feynman integrals
Path integrals
ISBN 3-540-38250-X
Classificazione 81Q30
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto The fresnel integral of functions on a separable real Hilbert space -- The Feynman path integral in potential scattering -- The fresnel integral relative to a non singular quadratic form -- Feynman path integrals for the anharmonic oscillator -- Expectations with respect to the ground state of the harmonic oscillator -- Expectations with respect to the Gibbs state of the harmonic oscillator -- The invariant quasi-free states -- The Feynman history integrals for the relativistic quantum boson field.
Record Nr. UNISA-996466492503316
Albeverio S. A. Sergio  
Berlin ; ; Heidelberg ; ; New York : , : Springer-Verlag, , [1976]
Materiale a stampa
Lo trovi qui: Univ. di Salerno
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