Info
- Utilizzare la checkbox di selezione a fianco di ciascun documento per attivare le funzionalità di stampa, invio email, download nei formati disponibili del (i) record.
Asymptotic time decay in quantum physics [[electronic resource] /] / Domingos H.U. Marchetti, Walter F. Wreszinski
| Asymptotic time decay in quantum physics [[electronic resource] /] / Domingos H.U. Marchetti, Walter F. Wreszinski |
| Autore | Marchetti Domingos H. U (Domingos Humberto Urbano) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina |
539
539.7 |
| Altri autori (Persone) | WreszinskiWalter F. <1946-> |
| Soggetto topico |
Asymptotic symmetry (Physics)
Symmetry (Physics) Quantum field theory |
| Soggetto genere / forma | Electronic books. |
| ISBN |
1-283-90002-5
981-4383-81-3 |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface: A Description of Contents; Acknowledgments; Contents; 1. Introduction: A Summary of Mathematical and Physical Background for One-Particle Quantum Mechanics; 2. Spreading and Asymptotic Decay of Free Wave Packets: The Method of Stationary Phase and van der Corput's Approach; 3. The Relation Between Time-Like Decay and Spectral Properties; 3.1 Decay on the Average Sense; 3.1.1 Preliminaries: Wiener's, RAGE and Weyl theorems; 3.1.2 Models of exotic spectra, quantum KAM theorems and Howland's theorem
3.1.3 UαH measures and decay on the average: Strichartz-Last theorem and Guarneri-Last-Combes theorem3.2 Decay in the Lp-Sense; 3.2.1 Relation between decay in the Lp-sense and decay on the average sense; 3.2.2 Decay on the Lp-sense and absolute continuity; 3.2.3 Sojourn time, Sinha's theorem and time-energy uncertainty relation; 3.3 PointwiseDecay; 3.3.1 Does decay in the Lp-sense and/or absolute continuity imply pointwise decay?; 3.3.2 Rajchman measures, and the connection between ergodic theory, number theory and analysis; 3.3.3 Fourier dimension, Salem sets and Salem's method 3.4 Quantum Dynamical Stability4. Time Decay for a Class of Models with Sparse Potentials; 4.1 Spectral Transition for Sparse Models in d = 1; 4.1.1 Existence of "mobility edges"; 4.1.2 Uniform distribution of Prufer angles; 4.1.3 Proof of Theorem 4.1; 4.2 Decay in the Average; 4.2.1 Anderson-like transition for "separable" sparse models in d = 2; 4.2.2 Uniform α-Holder continuity of spectral measures; 4.2.3 Formulation, proof and comments of the main result; 4.3 PointwiseDecay; 4.3.1 Pearson's fractal measures: Borderline time-decay for the least sparsemodel; 4.3.2 Gevrey-type estimates 4.3.3 Proof of Theorem4.75. Resonances and Quasi-exponential Decay; 5.1 Introduction; 5.2 The Model System; 5.3 Generalities on Laplace-Borel Transform and Asymptotic Expansions; 5.4 Decay for a Class of Model Systems After Costin and Huang: Gamow Vectors and Dispersive Part; 5.5 The Role of Gamow Vectors; 5.6 A First Example of Quantum Instability: Ionization; 5.7 Ionization: Study of a Simple Model; 5.8 A Second Example of Multiphoton Ionization: The Work of M. Huang; 5.9 The Reason for Enhanced Stability at Resonances: Connection with the Fermi Golden Rule 6. Aspects of the Connection Between Quantum Mechanics and Classical Mechanics: Quantum Systems with Infinite Number of Degrees of Freedom6.1 Introduction; 6.2 Exponential Decay and Quantum Anosov Systems; 6.2.1 Generalities: Exponential decay in quantum and classical systems; 6.2.2 QuantumAnosov systems; 6.2.3 Examples of quantum Anosov systems and Weigert's configurational quantum cat map; 6.3 Approach to Equilibrium; 6.3.1 A brief introductory motivation; 6.3.2 Approach to equilibrium in classical (statistical) mechanics 1: Ergodicity, mixing and the Anosov property. The Gibbs entropy 6.3.3 Approach to equilibrium in classical mechanics 2 |
| Record Nr. | UNINA-9910463663003321 |
Marchetti Domingos H. U (Domingos Humberto Urbano)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic time decay in quantum physics [[electronic resource] /] / Domingos H.U. Marchetti, Walter F. Wreszinski
| Asymptotic time decay in quantum physics [[electronic resource] /] / Domingos H.U. Marchetti, Walter F. Wreszinski |
| Autore | Marchetti Domingos H. U (Domingos Humberto Urbano) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina |
539
539.7 |
| Altri autori (Persone) | WreszinskiWalter F. <1946-> |
| Soggetto topico |
Asymptotic symmetry (Physics)
Symmetry (Physics) Quantum field theory |
| ISBN |
1-283-90002-5
981-4383-81-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface: A Description of Contents; Acknowledgments; Contents; 1. Introduction: A Summary of Mathematical and Physical Background for One-Particle Quantum Mechanics; 2. Spreading and Asymptotic Decay of Free Wave Packets: The Method of Stationary Phase and van der Corput's Approach; 3. The Relation Between Time-Like Decay and Spectral Properties; 3.1 Decay on the Average Sense; 3.1.1 Preliminaries: Wiener's, RAGE and Weyl theorems; 3.1.2 Models of exotic spectra, quantum KAM theorems and Howland's theorem
3.1.3 UαH measures and decay on the average: Strichartz-Last theorem and Guarneri-Last-Combes theorem3.2 Decay in the Lp-Sense; 3.2.1 Relation between decay in the Lp-sense and decay on the average sense; 3.2.2 Decay on the Lp-sense and absolute continuity; 3.2.3 Sojourn time, Sinha's theorem and time-energy uncertainty relation; 3.3 PointwiseDecay; 3.3.1 Does decay in the Lp-sense and/or absolute continuity imply pointwise decay?; 3.3.2 Rajchman measures, and the connection between ergodic theory, number theory and analysis; 3.3.3 Fourier dimension, Salem sets and Salem's method 3.4 Quantum Dynamical Stability4. Time Decay for a Class of Models with Sparse Potentials; 4.1 Spectral Transition for Sparse Models in d = 1; 4.1.1 Existence of "mobility edges"; 4.1.2 Uniform distribution of Prufer angles; 4.1.3 Proof of Theorem 4.1; 4.2 Decay in the Average; 4.2.1 Anderson-like transition for "separable" sparse models in d = 2; 4.2.2 Uniform α-Holder continuity of spectral measures; 4.2.3 Formulation, proof and comments of the main result; 4.3 PointwiseDecay; 4.3.1 Pearson's fractal measures: Borderline time-decay for the least sparsemodel; 4.3.2 Gevrey-type estimates 4.3.3 Proof of Theorem4.75. Resonances and Quasi-exponential Decay; 5.1 Introduction; 5.2 The Model System; 5.3 Generalities on Laplace-Borel Transform and Asymptotic Expansions; 5.4 Decay for a Class of Model Systems After Costin and Huang: Gamow Vectors and Dispersive Part; 5.5 The Role of Gamow Vectors; 5.6 A First Example of Quantum Instability: Ionization; 5.7 Ionization: Study of a Simple Model; 5.8 A Second Example of Multiphoton Ionization: The Work of M. Huang; 5.9 The Reason for Enhanced Stability at Resonances: Connection with the Fermi Golden Rule 6. Aspects of the Connection Between Quantum Mechanics and Classical Mechanics: Quantum Systems with Infinite Number of Degrees of Freedom6.1 Introduction; 6.2 Exponential Decay and Quantum Anosov Systems; 6.2.1 Generalities: Exponential decay in quantum and classical systems; 6.2.2 QuantumAnosov systems; 6.2.3 Examples of quantum Anosov systems and Weigert's configurational quantum cat map; 6.3 Approach to Equilibrium; 6.3.1 A brief introductory motivation; 6.3.2 Approach to equilibrium in classical (statistical) mechanics 1: Ergodicity, mixing and the Anosov property. The Gibbs entropy 6.3.3 Approach to equilibrium in classical mechanics 2 |
| Record Nr. | UNINA-9910788622803321 |
|
Marchetti Domingos H. U (Domingos Humberto Urbano)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Asymptotic time decay in quantum physics [[electronic resource] /] / Domingos H.U. Marchetti, Walter F. Wreszinski
| Asymptotic time decay in quantum physics [[electronic resource] /] / Domingos H.U. Marchetti, Walter F. Wreszinski |
| Autore | Marchetti Domingos H. U (Domingos Humberto Urbano) |
| Pubbl/distr/stampa | Singapore ; ; Hackensack, NJ, : World Scientific, c2013 |
| Descrizione fisica | 1 online resource (362 p.) |
| Disciplina |
539
539.7 |
| Altri autori (Persone) | WreszinskiWalter F. <1946-> |
| Soggetto topico |
Asymptotic symmetry (Physics)
Symmetry (Physics) Quantum field theory |
| ISBN |
1-283-90002-5
981-4383-81-3 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Preface: A Description of Contents; Acknowledgments; Contents; 1. Introduction: A Summary of Mathematical and Physical Background for One-Particle Quantum Mechanics; 2. Spreading and Asymptotic Decay of Free Wave Packets: The Method of Stationary Phase and van der Corput's Approach; 3. The Relation Between Time-Like Decay and Spectral Properties; 3.1 Decay on the Average Sense; 3.1.1 Preliminaries: Wiener's, RAGE and Weyl theorems; 3.1.2 Models of exotic spectra, quantum KAM theorems and Howland's theorem
3.1.3 UαH measures and decay on the average: Strichartz-Last theorem and Guarneri-Last-Combes theorem3.2 Decay in the Lp-Sense; 3.2.1 Relation between decay in the Lp-sense and decay on the average sense; 3.2.2 Decay on the Lp-sense and absolute continuity; 3.2.3 Sojourn time, Sinha's theorem and time-energy uncertainty relation; 3.3 PointwiseDecay; 3.3.1 Does decay in the Lp-sense and/or absolute continuity imply pointwise decay?; 3.3.2 Rajchman measures, and the connection between ergodic theory, number theory and analysis; 3.3.3 Fourier dimension, Salem sets and Salem's method 3.4 Quantum Dynamical Stability4. Time Decay for a Class of Models with Sparse Potentials; 4.1 Spectral Transition for Sparse Models in d = 1; 4.1.1 Existence of "mobility edges"; 4.1.2 Uniform distribution of Prufer angles; 4.1.3 Proof of Theorem 4.1; 4.2 Decay in the Average; 4.2.1 Anderson-like transition for "separable" sparse models in d = 2; 4.2.2 Uniform α-Holder continuity of spectral measures; 4.2.3 Formulation, proof and comments of the main result; 4.3 PointwiseDecay; 4.3.1 Pearson's fractal measures: Borderline time-decay for the least sparsemodel; 4.3.2 Gevrey-type estimates 4.3.3 Proof of Theorem4.75. Resonances and Quasi-exponential Decay; 5.1 Introduction; 5.2 The Model System; 5.3 Generalities on Laplace-Borel Transform and Asymptotic Expansions; 5.4 Decay for a Class of Model Systems After Costin and Huang: Gamow Vectors and Dispersive Part; 5.5 The Role of Gamow Vectors; 5.6 A First Example of Quantum Instability: Ionization; 5.7 Ionization: Study of a Simple Model; 5.8 A Second Example of Multiphoton Ionization: The Work of M. Huang; 5.9 The Reason for Enhanced Stability at Resonances: Connection with the Fermi Golden Rule 6. Aspects of the Connection Between Quantum Mechanics and Classical Mechanics: Quantum Systems with Infinite Number of Degrees of Freedom6.1 Introduction; 6.2 Exponential Decay and Quantum Anosov Systems; 6.2.1 Generalities: Exponential decay in quantum and classical systems; 6.2.2 QuantumAnosov systems; 6.2.3 Examples of quantum Anosov systems and Weigert's configurational quantum cat map; 6.3 Approach to Equilibrium; 6.3.1 A brief introductory motivation; 6.3.2 Approach to equilibrium in classical (statistical) mechanics 1: Ergodicity, mixing and the Anosov property. The Gibbs entropy 6.3.3 Approach to equilibrium in classical mechanics 2 |
| Record Nr. | UNINA-9910827560003321 |
|
Marchetti Domingos H. U (Domingos Humberto Urbano)
|
||
| Singapore ; ; Hackensack, NJ, : World Scientific, c2013 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||