Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes
| Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes |
| Autore | Dyson Freeman J |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (316 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | DerbesDavid |
| Soggetto topico | Quantum theory |
| Soggetto genere / forma | Electronic books. |
| ISBN | 981-4383-42-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Notes; Preface; Preface to First Edition; Contents; Generally used Notation; 1 Introduction; 1.1 Books; 1.2 Subject Matter; 1.3 Detailed Program; 1.4 One-Particle Theories; 2 The Dirac Theory; 2.1 The Form of the Dirac Equation; 2.2 Lorentz Invariance of the Dirac Equation; 2.3 To Find the S; 2.4 The Covariant Notation; 2.5 Conservation Laws. Existence of Spin; 2.6 Elementary Solutions; 2.7 The Hole Theory; 2.8 Positron States; 2.9 Electromagnetic Properties of the Electron; 2.10 The Hydrogen Atom; 2.11 Solution of Radial Equation
2.12 Behaviour of an Electron in a Non-Relativistic Approximation 2.13 Summary of Matrices in the Dirac Theory in Our Notation; 2.14 Summary of Matrices in the Dirac Theory in the Feynman Notation; 3 Scattering Problems and Born Approximation; 3.1 General Discussion; 3.2 Projection Operators; 3.3 Calculation of Traces; 3.4 Scattering of Two Electrons in Born Approximation. The Møller Formula; 3.5 Relation of Cross-sections to Transition Amplitudes; 3.6 Results for Møller Scattering; 3.7 Note on the Treatment of Exchange Effects; 3.8 Relativistic Treatment of Several Particles; 4 Field Theory 4.1 Classical Relativistic Field Theory 4.2 Quantum Relativistic Field Theory; 4.3 The Feynman Method of Quantization; 4.4 The Schwinger Action Principle; 4.4.1 The Field Equations; 4.4.2 The Schrodinger Equation for the State-function; 4.4.3 Operator Form of the Schwinger Principle; 4.4.4 The Canonical Commutation Laws; 4.4.5 The Heisenberg Equation of Motion for the Operators; 4.4.6 General Covariant Commutation Laws; 4.4.7 Anticommuting Fields; 5 Examples of Quantized Field Theories; 5.1 The Maxwell Field; 5.1.1 Momentum Representations; 5.1.2 Fourier Analysis of Operators 5.1.3 Emission and Absorption Operators 5.1.4 Gauge-Invariance of the Theory; 5.1.5 The Vacuum State; 5.1.6 The Gupta-Bleuler Method; 5.1.7 Example: Spontaneous Emission of Radiation; 5.1.8 The Hamiltonian Operator; 5.1.9 Fluctuations of the Fields; 5.1.10 Fluctuation of Position of an Electron in a Quantized Electromagnetic Field. The Lamb Shift; 5.2 Theory of Line Shift and Line Width; 5.2.1 The Interaction Representation; 5.2.2 The Application of the Interaction Representation to the Theory of Line-Shift and Line-Width; 5.2.3 Calculation of Line-Shift, Non-Relativistic Theory 5.2.4 The Idea of Mass Renormalization 5.3 Field Theory of the Dirac Electron, Without Interaction; 5.3.1 Covariant Commutation Rules; 5.3.2 Momentum Representations; 5.3.3 Fourier Analysis of Operators; 5.3.4 Emission and Absorption Operators; 5.3.5 Charge-Symmetrical Representation; 5.3.6 The Hamiltonian; 5.3.7 Failure of Theory with Commuting Fields; 5.3.8 The Exclusion Principle; 5.3.9 The Vacuum State; 5.4 Field Theory of Dirac Electron in External Field; 5.4.1 Covariant Commutation Rules; 5.4.2 The Hamiltonian; 5.4.3 Antisymmetry of the States; 5.4.4 Polarization of the Vacuum 5.4.5 Calculation of Momentum Integrals |
| Record Nr. | UNINA-9910457500903321 |
Dyson Freeman J
|
||
| Singapore, : World Scientific Pub. Co., 2011 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes
| Advanced quantum mechanics [[electronic resource] /] / Freeman Dyson ; translated and transcribed by David Derbes |
| Autore | Dyson Freeman J |
| Edizione | [2nd ed.] |
| Pubbl/distr/stampa | Singapore, : World Scientific Pub. Co., 2011 |
| Descrizione fisica | 1 online resource (316 p.) |
| Disciplina | 530.12 |
| Altri autori (Persone) | DerbesDavid |
| Soggetto topico | Quantum theory |
| ISBN | 981-4383-42-2 |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Nota di contenuto |
Foreword; Notes; Preface; Preface to First Edition; Contents; Generally used Notation; 1 Introduction; 1.1 Books; 1.2 Subject Matter; 1.3 Detailed Program; 1.4 One-Particle Theories; 2 The Dirac Theory; 2.1 The Form of the Dirac Equation; 2.2 Lorentz Invariance of the Dirac Equation; 2.3 To Find the S; 2.4 The Covariant Notation; 2.5 Conservation Laws. Existence of Spin; 2.6 Elementary Solutions; 2.7 The Hole Theory; 2.8 Positron States; 2.9 Electromagnetic Properties of the Electron; 2.10 The Hydrogen Atom; 2.11 Solution of Radial Equation
2.12 Behaviour of an Electron in a Non-Relativistic Approximation 2.13 Summary of Matrices in the Dirac Theory in Our Notation; 2.14 Summary of Matrices in the Dirac Theory in the Feynman Notation; 3 Scattering Problems and Born Approximation; 3.1 General Discussion; 3.2 Projection Operators; 3.3 Calculation of Traces; 3.4 Scattering of Two Electrons in Born Approximation. The Møller Formula; 3.5 Relation of Cross-sections to Transition Amplitudes; 3.6 Results for Møller Scattering; 3.7 Note on the Treatment of Exchange Effects; 3.8 Relativistic Treatment of Several Particles; 4 Field Theory 4.1 Classical Relativistic Field Theory 4.2 Quantum Relativistic Field Theory; 4.3 The Feynman Method of Quantization; 4.4 The Schwinger Action Principle; 4.4.1 The Field Equations; 4.4.2 The Schrodinger Equation for the State-function; 4.4.3 Operator Form of the Schwinger Principle; 4.4.4 The Canonical Commutation Laws; 4.4.5 The Heisenberg Equation of Motion for the Operators; 4.4.6 General Covariant Commutation Laws; 4.4.7 Anticommuting Fields; 5 Examples of Quantized Field Theories; 5.1 The Maxwell Field; 5.1.1 Momentum Representations; 5.1.2 Fourier Analysis of Operators 5.1.3 Emission and Absorption Operators 5.1.4 Gauge-Invariance of the Theory; 5.1.5 The Vacuum State; 5.1.6 The Gupta-Bleuler Method; 5.1.7 Example: Spontaneous Emission of Radiation; 5.1.8 The Hamiltonian Operator; 5.1.9 Fluctuations of the Fields; 5.1.10 Fluctuation of Position of an Electron in a Quantized Electromagnetic Field. The Lamb Shift; 5.2 Theory of Line Shift and Line Width; 5.2.1 The Interaction Representation; 5.2.2 The Application of the Interaction Representation to the Theory of Line-Shift and Line-Width; 5.2.3 Calculation of Line-Shift, Non-Relativistic Theory 5.2.4 The Idea of Mass Renormalization 5.3 Field Theory of the Dirac Electron, Without Interaction; 5.3.1 Covariant Commutation Rules; 5.3.2 Momentum Representations; 5.3.3 Fourier Analysis of Operators; 5.3.4 Emission and Absorption Operators; 5.3.5 Charge-Symmetrical Representation; 5.3.6 The Hamiltonian; 5.3.7 Failure of Theory with Commuting Fields; 5.3.8 The Exclusion Principle; 5.3.9 The Vacuum State; 5.4 Field Theory of Dirac Electron in External Field; 5.4.1 Covariant Commutation Rules; 5.4.2 The Hamiltonian; 5.4.3 Antisymmetry of the States; 5.4.4 Polarization of the Vacuum 5.4.5 Calculation of Momentum Integrals |
| Record Nr. | UNINA-9910779074203321 |
Dyson Freeman J
|
||
| Singapore, : World Scientific Pub. Co., 2011 | ||
| Lo trovi qui: Univ. Federico II | ||
| ||