The supersymmetric Dirac equation [[electronic resource] ] : the application to hydrogenic atoms / / Allen Hirshfeld |
Autore | Hirshfeld Allen C |
Pubbl/distr/stampa | London, : Imperial College Press |
Descrizione fisica | 1 online resource (216 p.) |
Disciplina |
530.1209
530.124 |
Soggetto topico |
Dirac equation
Supersymmetry Quantum field theory |
Soggetto genere / forma | Electronic books. |
ISBN | 1-84816-798-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; List of Figures; 1. Introduction; 2. The Classical Kepler Problem; 2.1 Central Forces; 2.2 The Laplace Vector; 3. Symmetry of the Classical Problem; 3.1 Lie Groups and Lie Algebras; 3.2 Some Special Lie Algebras; 3.3 Poisson Brackets; 3.4 The Inverse Square Law; 4. From Solar Systems to Atoms; 4.1 Rutherford Scattering; 4.2 Conservation of the Laplace Vector; 4.3 The Differential Cross Section; 5. The Bohr Model; 5.1 Spectroscopic Series; 5.2 The Postulates of the Model; 5.3 The Predictions of the Model; 5.4 Correction for Finite Nuclear Mass
6. Interpretation of the Quantum Rules6.1 The Sommerfeld-Wilson Quantization Conditions; 6.2 de Broglie's Wave Interpretation; 7. Sommerfeld's Model for Non-Relativistic Electrons; 7.1 Assumptions of the Model; 7.2 Results of the Model for Non-Relativistic Hydrogen Atoms; 7.3 The Eccentricity; 8. Quantum Mechanics of Hydrogenic Atoms; 8.1 Quantization; 8.2 Quantum Mechanical Relation Between |A| and L; 8.3 Pauli's Hydrogenic Realization of so(4); 8.4 so(4) and the Spectrum of Hydrogenic Atoms; 9. The Schrödinger Equation and the Confluent Hypergeometric Functions 12. Sommerfeld's Derivation of the Relativistic Energy Level Formula12.1 Assumptions of the Model; 12.2 The Energies of the Bound States; 13. The Dirac Equation; 13.1 The Hamiltonian; 13.2 Total Angular Momentum; 13.3 The Dirac Operator; 13.4 A Complete Set of Mutually Commuting Operators; 13.5 The Dirac Spinors; 13.6 The Radial Equations in Polar Coordinates; 14. The Primary Supersymmetry of the Dirac Equation; 14.1 A Derivation of the Johnson-Lippmann Operator; 14.2 Commutation and Anticommutation Relations of the Johnson-Lippmann Operator; 14.3 Eccentricity 17.2 Eigenfunctions of the Operators G and |
Record Nr. | UNINA-9910457430303321 |
Hirshfeld Allen C | ||
London, : Imperial College Press | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The supersymmetric Dirac equation [[electronic resource] ] : the application to hydrogenic atoms / / Allen Hirshfeld |
Autore | Hirshfeld Allen C |
Pubbl/distr/stampa | London, : Imperial College Press |
Descrizione fisica | 1 online resource (216 p.) |
Disciplina |
530.1209
530.124 |
Soggetto topico |
Dirac equation
Supersymmetry Quantum field theory |
ISBN | 1-84816-798-9 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto |
Preface; Contents; List of Figures; 1. Introduction; 2. The Classical Kepler Problem; 2.1 Central Forces; 2.2 The Laplace Vector; 3. Symmetry of the Classical Problem; 3.1 Lie Groups and Lie Algebras; 3.2 Some Special Lie Algebras; 3.3 Poisson Brackets; 3.4 The Inverse Square Law; 4. From Solar Systems to Atoms; 4.1 Rutherford Scattering; 4.2 Conservation of the Laplace Vector; 4.3 The Differential Cross Section; 5. The Bohr Model; 5.1 Spectroscopic Series; 5.2 The Postulates of the Model; 5.3 The Predictions of the Model; 5.4 Correction for Finite Nuclear Mass
6. Interpretation of the Quantum Rules6.1 The Sommerfeld-Wilson Quantization Conditions; 6.2 de Broglie's Wave Interpretation; 7. Sommerfeld's Model for Non-Relativistic Electrons; 7.1 Assumptions of the Model; 7.2 Results of the Model for Non-Relativistic Hydrogen Atoms; 7.3 The Eccentricity; 8. Quantum Mechanics of Hydrogenic Atoms; 8.1 Quantization; 8.2 Quantum Mechanical Relation Between |A| and L; 8.3 Pauli's Hydrogenic Realization of so(4); 8.4 so(4) and the Spectrum of Hydrogenic Atoms; 9. The Schrödinger Equation and the Confluent Hypergeometric Functions 12. Sommerfeld's Derivation of the Relativistic Energy Level Formula12.1 Assumptions of the Model; 12.2 The Energies of the Bound States; 13. The Dirac Equation; 13.1 The Hamiltonian; 13.2 Total Angular Momentum; 13.3 The Dirac Operator; 13.4 A Complete Set of Mutually Commuting Operators; 13.5 The Dirac Spinors; 13.6 The Radial Equations in Polar Coordinates; 14. The Primary Supersymmetry of the Dirac Equation; 14.1 A Derivation of the Johnson-Lippmann Operator; 14.2 Commutation and Anticommutation Relations of the Johnson-Lippmann Operator; 14.3 Eccentricity 17.2 Eigenfunctions of the Operators G and |
Record Nr. | UNINA-9910779078403321 |
Hirshfeld Allen C | ||
London, : Imperial College Press | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|