Long time behaviour of classical and quantum systems [[electronic resource] ] : proceedings of the Bologna APTEX International Conference : Bologna, Italy, 13-17 September 1999 / / editors, Sandro Graffi & André Martinez |
Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
Descrizione fisica | 1 online resource (299 p.) |
Disciplina | 530.1 |
Altri autori (Persone) |
GraffiS <1943-> (Sandro)
MartinezAndré |
Collana | Series on concrete and applicable mathematics |
Soggetto topico |
Mathematical physics
Microlocal analysis Quantum theory |
Soggetto genere / forma | Electronic books. |
ISBN |
1-281-93453-4
9786611934538 981-279-459-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; List of Participants; CONTENTS; Return to Equilibrium in Classical and Quantum Systems; 1. FIRST LECTURE; 2. SECOND LECTURE; 3. THIRD LECTURE; 4. FOURTH LECTURE; Quantum Resonances and Trapped Trajectories; 1 Introduction; 2 Definitions and first results; 3 FBI transform and upper bounds on the density of resonances; 4 Trace formulae and lower bounds on the density of resonances; 5 Resonances and a non-linear Schrodinger equation; Return to Thermal Equilibrium in Quantum Statistical Mechanics; 1. INTRODUCTION; 2. EQUILIBRIUM STATES AND DYNAMICS OF FINITE SYSTEMS
3. EQUILIBRIUM STATES AND DYNAMICS OF INFINITE SYSTEMS4. EXAMPLE: FINITE QUANTUM SYSTEM; 5. EXAMPLE: FREE QUANTIZED ELECTROMAGNETIC FIELD IN THE ARAKI-WOODS REPRESENTATION; 6. EXAMPLE: CONFINED ELECTRON AND FREE QUANTIZED ELECTROMAGNETIC FIELD - NONINTERACTING; 7. CONFINED ELECTRON COUPLED TO THE QUANTIZED RADIATION FIELD - INTERACTING CASE; Small Oscillations in Some Nonlinear PDE's; 1 Introduction; 2 The finite dimensional case; 3 The infinite dimensional case: some known results; 4 A proof of Lyapunov center theorem: the finite dimensional case; 5 The resonant case 6 A proof of the Lyapunov center theorem: the infinite dimensional case7 On the verification of the property y-NR; 8 Applications; The Semi-Classical Van-Vleck Formula. Application to the Aharonov-Bohm Effect; 1 Introduction; 2 Coherent states and quantum propagator; 3 Semi-classical approximation for the propagator; 4 The time-dependent Aharonov-Bohm Effect; Fractal Dimensions and Quantum Evolution Associated with Sparse Potential Jacobi Matrices; 1 Introduction; 2 The sparse barrier model and main results; 3 Pictures of quantum motion within sparse barriers; 4 Proof of Theorem 2 5 Proof of Theorem 36 Conclusions; Infinite Step Billiards; 1 Introduction; 2 The model and the results; 3 Outline of the proofs; Semiclassical Expansion for the Thermodynamic Limit of the Ground State Energy of Kac's Operator; 1 Introduction; 2 One-parameter families of weighted standard functions; 3 WKB constructions; 4 A formal asymptotic expansion; 5 Estimates for the thermodynamic limit; Asymptotics of Scattering Poles for Two Strictly Convex Obstacles; 1. INTRODUCTION; 2. METHOD OF THE PROOF; 3. EXPRESSION OF BROKEN RAYS CONVERGING TO THE PERIODIC RAY; 4. SOLUTIONS OF FUNCTION EQUATIONS 5. TAYLOR EXPANSION OF Tn(s+t o+r)Parabolic Dynamical Systems and Inducing; 1 Preliminaires; 2 Parabolic rational maps; QFT for Scalar Particles in External Fields on Riemannian Manifolds; 1 Introduction; 2 Invariant wave equations on Riemannnian manifolds; 3 Classical S-matrix; 4 Feynman's scattering amplitude; 5 Solvability of the equation AF = A + iAP_AF; 6 Quantum field theory in external forces; 7 Hilbert-Schmidt property on Riemannian manifolds; 8 Massless case; Existence and Born-Oppenheimer Asymptotics of the Total Scattering Cross-Section in Ion-Atom Collisions; I Introduction II Notation assumptions and main results |
Record Nr. | UNINA-9910454405403321 |
Singapore ; ; River Edge, N.J., : World Scientific, c2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Long time behaviour of classical and quantum systems [[electronic resource] ] : proceedings of the Bologna APTEX International Conference : Bologna, Italy, 13-17 September 1999 / / editors, Sandro Graffi & André Martinez |
Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
Descrizione fisica | 1 online resource (299 p.) |
Disciplina | 530.1 |
Altri autori (Persone) |
GraffiS <1943-> (Sandro)
MartinezAndré |
Collana | Series on concrete and applicable mathematics |
Soggetto topico |
Mathematical physics
Microlocal analysis Quantum theory |
ISBN |
1-281-93453-4
9786611934538 981-279-459-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; List of Participants; CONTENTS; Return to Equilibrium in Classical and Quantum Systems; 1. FIRST LECTURE; 2. SECOND LECTURE; 3. THIRD LECTURE; 4. FOURTH LECTURE; Quantum Resonances and Trapped Trajectories; 1 Introduction; 2 Definitions and first results; 3 FBI transform and upper bounds on the density of resonances; 4 Trace formulae and lower bounds on the density of resonances; 5 Resonances and a non-linear Schrodinger equation; Return to Thermal Equilibrium in Quantum Statistical Mechanics; 1. INTRODUCTION; 2. EQUILIBRIUM STATES AND DYNAMICS OF FINITE SYSTEMS
3. EQUILIBRIUM STATES AND DYNAMICS OF INFINITE SYSTEMS4. EXAMPLE: FINITE QUANTUM SYSTEM; 5. EXAMPLE: FREE QUANTIZED ELECTROMAGNETIC FIELD IN THE ARAKI-WOODS REPRESENTATION; 6. EXAMPLE: CONFINED ELECTRON AND FREE QUANTIZED ELECTROMAGNETIC FIELD - NONINTERACTING; 7. CONFINED ELECTRON COUPLED TO THE QUANTIZED RADIATION FIELD - INTERACTING CASE; Small Oscillations in Some Nonlinear PDE's; 1 Introduction; 2 The finite dimensional case; 3 The infinite dimensional case: some known results; 4 A proof of Lyapunov center theorem: the finite dimensional case; 5 The resonant case 6 A proof of the Lyapunov center theorem: the infinite dimensional case7 On the verification of the property y-NR; 8 Applications; The Semi-Classical Van-Vleck Formula. Application to the Aharonov-Bohm Effect; 1 Introduction; 2 Coherent states and quantum propagator; 3 Semi-classical approximation for the propagator; 4 The time-dependent Aharonov-Bohm Effect; Fractal Dimensions and Quantum Evolution Associated with Sparse Potential Jacobi Matrices; 1 Introduction; 2 The sparse barrier model and main results; 3 Pictures of quantum motion within sparse barriers; 4 Proof of Theorem 2 5 Proof of Theorem 36 Conclusions; Infinite Step Billiards; 1 Introduction; 2 The model and the results; 3 Outline of the proofs; Semiclassical Expansion for the Thermodynamic Limit of the Ground State Energy of Kac's Operator; 1 Introduction; 2 One-parameter families of weighted standard functions; 3 WKB constructions; 4 A formal asymptotic expansion; 5 Estimates for the thermodynamic limit; Asymptotics of Scattering Poles for Two Strictly Convex Obstacles; 1. INTRODUCTION; 2. METHOD OF THE PROOF; 3. EXPRESSION OF BROKEN RAYS CONVERGING TO THE PERIODIC RAY; 4. SOLUTIONS OF FUNCTION EQUATIONS 5. TAYLOR EXPANSION OF Tn(s+t o+r)Parabolic Dynamical Systems and Inducing; 1 Preliminaires; 2 Parabolic rational maps; QFT for Scalar Particles in External Fields on Riemannian Manifolds; 1 Introduction; 2 Invariant wave equations on Riemannnian manifolds; 3 Classical S-matrix; 4 Feynman's scattering amplitude; 5 Solvability of the equation AF = A + iAP_AF; 6 Quantum field theory in external forces; 7 Hilbert-Schmidt property on Riemannian manifolds; 8 Massless case; Existence and Born-Oppenheimer Asymptotics of the Total Scattering Cross-Section in Ion-Atom Collisions; I Introduction II Notation assumptions and main results |
Record Nr. | UNINA-9910782391003321 |
Singapore ; ; River Edge, N.J., : World Scientific, c2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Long time behaviour of classical and quantum systems [[electronic resource] ] : proceedings of the Bologna APTEX International Conference : Bologna, Italy, 13-17 September 1999 / / editors, Sandro Graffi & André Martinez |
Pubbl/distr/stampa | Singapore ; ; River Edge, N.J., : World Scientific, c2001 |
Descrizione fisica | 1 online resource (299 p.) |
Disciplina | 530.1 |
Altri autori (Persone) |
GraffiS <1943-> (Sandro)
MartinezAndré |
Collana | Series on concrete and applicable mathematics |
Soggetto topico |
Mathematical physics
Microlocal analysis Quantum theory |
ISBN |
1-281-93453-4
9786611934538 981-279-459-X |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Foreword; List of Participants; CONTENTS; Return to Equilibrium in Classical and Quantum Systems; 1. FIRST LECTURE; 2. SECOND LECTURE; 3. THIRD LECTURE; 4. FOURTH LECTURE; Quantum Resonances and Trapped Trajectories; 1 Introduction; 2 Definitions and first results; 3 FBI transform and upper bounds on the density of resonances; 4 Trace formulae and lower bounds on the density of resonances; 5 Resonances and a non-linear Schrodinger equation; Return to Thermal Equilibrium in Quantum Statistical Mechanics; 1. INTRODUCTION; 2. EQUILIBRIUM STATES AND DYNAMICS OF FINITE SYSTEMS
3. EQUILIBRIUM STATES AND DYNAMICS OF INFINITE SYSTEMS4. EXAMPLE: FINITE QUANTUM SYSTEM; 5. EXAMPLE: FREE QUANTIZED ELECTROMAGNETIC FIELD IN THE ARAKI-WOODS REPRESENTATION; 6. EXAMPLE: CONFINED ELECTRON AND FREE QUANTIZED ELECTROMAGNETIC FIELD - NONINTERACTING; 7. CONFINED ELECTRON COUPLED TO THE QUANTIZED RADIATION FIELD - INTERACTING CASE; Small Oscillations in Some Nonlinear PDE's; 1 Introduction; 2 The finite dimensional case; 3 The infinite dimensional case: some known results; 4 A proof of Lyapunov center theorem: the finite dimensional case; 5 The resonant case 6 A proof of the Lyapunov center theorem: the infinite dimensional case7 On the verification of the property y-NR; 8 Applications; The Semi-Classical Van-Vleck Formula. Application to the Aharonov-Bohm Effect; 1 Introduction; 2 Coherent states and quantum propagator; 3 Semi-classical approximation for the propagator; 4 The time-dependent Aharonov-Bohm Effect; Fractal Dimensions and Quantum Evolution Associated with Sparse Potential Jacobi Matrices; 1 Introduction; 2 The sparse barrier model and main results; 3 Pictures of quantum motion within sparse barriers; 4 Proof of Theorem 2 5 Proof of Theorem 36 Conclusions; Infinite Step Billiards; 1 Introduction; 2 The model and the results; 3 Outline of the proofs; Semiclassical Expansion for the Thermodynamic Limit of the Ground State Energy of Kac's Operator; 1 Introduction; 2 One-parameter families of weighted standard functions; 3 WKB constructions; 4 A formal asymptotic expansion; 5 Estimates for the thermodynamic limit; Asymptotics of Scattering Poles for Two Strictly Convex Obstacles; 1. INTRODUCTION; 2. METHOD OF THE PROOF; 3. EXPRESSION OF BROKEN RAYS CONVERGING TO THE PERIODIC RAY; 4. SOLUTIONS OF FUNCTION EQUATIONS 5. TAYLOR EXPANSION OF Tn(s+t o+r)Parabolic Dynamical Systems and Inducing; 1 Preliminaires; 2 Parabolic rational maps; QFT for Scalar Particles in External Fields on Riemannian Manifolds; 1 Introduction; 2 Invariant wave equations on Riemannnian manifolds; 3 Classical S-matrix; 4 Feynman's scattering amplitude; 5 Solvability of the equation AF = A + iAP_AF; 6 Quantum field theory in external forces; 7 Hilbert-Schmidt property on Riemannian manifolds; 8 Massless case; Existence and Born-Oppenheimer Asymptotics of the Total Scattering Cross-Section in Ion-Atom Collisions; I Introduction II Notation assumptions and main results |
Record Nr. | UNINA-9910826995603321 |
Singapore ; ; River Edge, N.J., : World Scientific, c2001 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Microlocal analysis / / M. Salah Baouendi, Richard Beals, and Linda Preiss Rothschild, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1984] |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 515 |
Collana | Contemporary mathematics |
Soggetto topico | Microlocal analysis |
Soggetto genere / forma | Electronic books. |
ISBN |
0-8218-7612-0
0-8218-5031-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
""Contents""; ""Introduction""; ""I. Survey articles""; ""Uniqueness and non-uniqueness in the Cauchy problem""; ""Hypo-analytic structures""; ""II. Spectrum of operators""; ""The multidimensional inverse spectral problem with a periodic potential""; ""A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds""; ""The heat equation for Ob""; ""III. Nonlinear problems""; ""Propagation of analyticity for solutions of non linear partial differential equations""; ""Nonlinear wave equations with data singular at one point""
""Non linear oblique derivative problems with non smooth solutions""""Ray-like solutions of semilinear wave equations""; ""IV. Asymptotics""; ""Global and partially global operators. Propagation of singularities and spectral asymptotics""; ""The trace of the wave group""; ""Airy operator calculus""; ""V. Pseudodifferential operators of multiple characteristics""; ""A necessary condition for solvability for a class of operators with involutive double characteristics""; ""Approximation of systems of pseudodifferential operators""; ""VI. Operators on groups and homogeneous spaces"" ""Toward analytic pseudodifferential operators for the Heisenberg group""""Microhypoellipticity on step two nilpotent Lie groups""; ""Symbolic calculi and the duality of homogeneous spaces"" |
Record Nr. | UNINA-9910480009603321 |
Providence, Rhode Island : , : American Mathematical Society, , [1984] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Microlocal analysis / / M. Salah Baouendi, Richard Beals, and Linda Preiss Rothschild, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1984] |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 515 |
Collana | Contemporary mathematics |
Soggetto topico | Microlocal analysis |
ISBN |
0-8218-7612-0
0-8218-5031-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Introduction -- I. Survey articles -- Uniqueness and non-uniqueness in the Cauchy problem -- Hypo-analytic structures -- II. Spectrum of operators -- The multidimensional inverse spectral problem with a periodic potential -- A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds -- The heat equation for Ob -- III. Nonlinear problems -- Propagation of analyticity for solutions of non linear partial differential equations -- Nonlinear wave equations with data singular at one point -- Non linear oblique derivative problems with non smooth solutions -- Ray-like solutions of semilinear wave equations -- IV. Asymptotics -- Global and partially global operators. Propagation of singularities and spectral asymptotics -- The trace of the wave group -- Airy operator calculus -- V. Pseudodifferential operators of multiple characteristics -- A necessary condition for solvability for a class of operators with involutive double characteristics -- Approximation of systems of pseudodifferential operators -- VI. Operators on groups and homogeneous spaces -- Toward analytic pseudodifferential operators for the Heisenberg group -- Micro-hypoellipticity on step two nilpotent Lie groups -- Symbolic calculi and the duality of homogeneous spaces. |
Record Nr. | UNINA-9910788782003321 |
Providence, Rhode Island : , : American Mathematical Society, , [1984] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Microlocal analysis / / M. Salah Baouendi, Richard Beals, and Linda Preiss Rothschild, editors |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , [1984] |
Descrizione fisica | 1 online resource (261 p.) |
Disciplina | 515 |
Collana | Contemporary mathematics |
Soggetto topico | Microlocal analysis |
ISBN |
0-8218-7612-0
0-8218-5031-8 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Contents -- Introduction -- I. Survey articles -- Uniqueness and non-uniqueness in the Cauchy problem -- Hypo-analytic structures -- II. Spectrum of operators -- The multidimensional inverse spectral problem with a periodic potential -- A subelliptic, nonlinear eigenvalue problem and scalar curvature on CR manifolds -- The heat equation for Ob -- III. Nonlinear problems -- Propagation of analyticity for solutions of non linear partial differential equations -- Nonlinear wave equations with data singular at one point -- Non linear oblique derivative problems with non smooth solutions -- Ray-like solutions of semilinear wave equations -- IV. Asymptotics -- Global and partially global operators. Propagation of singularities and spectral asymptotics -- The trace of the wave group -- Airy operator calculus -- V. Pseudodifferential operators of multiple characteristics -- A necessary condition for solvability for a class of operators with involutive double characteristics -- Approximation of systems of pseudodifferential operators -- VI. Operators on groups and homogeneous spaces -- Toward analytic pseudodifferential operators for the Heisenberg group -- Micro-hypoellipticity on step two nilpotent Lie groups -- Symbolic calculi and the duality of homogeneous spaces. |
Record Nr. | UNINA-9910811766303321 |
Providence, Rhode Island : , : American Mathematical Society, , [1984] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
Microlocal analysis and applications : lectures given at the 2nd session of the Centro internazionale matematico estivo (C.I.M.E.) held at Montecatini Terme, Italy, July 3-11, 1989 / / J. M. Bony ; L. Cattabriga [and four others] editors |
Autore | Bony J. M. |
Edizione | [1st ed. 1991.] |
Pubbl/distr/stampa | Berlin, Heidelberg : , : Springer-Verlag, , [1991] |
Descrizione fisica | 1 online resource (VII, 352 p.) |
Disciplina | 515 |
Collana | Lecture Notes in Mathematics |
Soggetto topico | Microlocal analysis |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Analyse microlocale des équations aux dérivées partielles non linéaires -- Parabolic pseudo-differential boundary problems and applications -- Quadratic hyperbolic operators -- Microlocal analysis in gevrey classes and in complex domains -- Microlocal analysis for the periodic magnetic schrodinger equation and related questions. |
Record Nr. | UNISA-996466755803316 |
Bony J. M. | ||
Berlin, Heidelberg : , : Springer-Verlag, , [1991] | ||
Materiale a stampa | ||
Lo trovi qui: Univ. di Salerno | ||
|
Microlocal analysis and precise spectral asymptotics / Victor Ivrii |
Autore | Ivrii, Victor |
Pubbl/distr/stampa | Berlin : Springer-Verlag, c1998 |
Descrizione fisica | xv, 731 p. ; 25 cm. |
Disciplina | 515.353 |
Collana | Springer monographs in mathematics |
Soggetto topico |
Asymptotic expansions
Eigenvalues Microlocal analysis Spectral theory (Mathematics) |
ISBN | 3540627804 |
Classificazione |
AMS 35P
AMS 58G |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001144469707536 |
Ivrii, Victor | ||
Berlin : Springer-Verlag, c1998 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Microlocal analysis for differential operators : an introduction / Alain Grigis, Johannes Sjostrand |
Autore | Grigis, Alain |
Pubbl/distr/stampa | Cambridge ; New York, NY : Cambridge University Press, 1994 |
Descrizione fisica | 151 p. : ill. ; 23 cm |
Disciplina | 515.353 |
Altri autori (Persone) | Sjostrand, Johannesauthor |
Collana | London Mathematical Society lecture note series, 0076-0552 ; 196 |
Soggetto topico |
Differential operators
Microlocal analysis |
ISBN | 0521449863 |
Classificazione |
AMS 35A27
AMS 35S AMS 58G07 AMS 58G15 AMS 58G17 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNISALENTO-991001144529707536 |
Grigis, Alain | ||
Cambridge ; New York, NY : Cambridge University Press, 1994 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. del Salento | ||
|
Noncommutative microlocal analysis . Part 1 / / Michael E. Taylor |
Autore | Taylor Michael Eugene <1946-> |
Pubbl/distr/stampa | Providence, Rhode Island : , : American Mathematical Society, , 1984 |
Descrizione fisica | 1 online resource (188 p.) |
Disciplina | 515.3/53 |
Collana | Memoirs of the American Mathematical Society |
Soggetto topico |
Differential equations, Hypoelliptic
Pseudodifferential operators Lie groups Microlocal analysis |
Soggetto genere / forma | Electronic books. |
ISBN | 1-4704-0726-4 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | ""Table of Contents""; ""Introduction""; ""I. Noncommutative Approach to Pseudodifferential Operators""; ""1. Convolution Operators and Pseudodifferential Operators on Lie Groups""; ""2. Symbols""; ""II. Harmonic Analysis on the Heisenberg Group""; ""1. Convolution Operators on the Heisenberg Group""; ""2. Right Invariant Pseudodifferential Operators on H[sup(n)]""; ""3. Functional Calculus for the Heisenberg Laplacian and for the Harmonic Oscillator Hamiltonian""; ""4. A Hypoellipticity Result of Rothschild""; ""III. Pseudodifferential Operators on Contact Manifolds"" |
Record Nr. | UNINA-9910480710503321 |
Taylor Michael Eugene <1946-> | ||
Providence, Rhode Island : , : American Mathematical Society, , 1984 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|