The supersymmetric Dirac equation : the application to hydrogenic atoms /

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The solution of the Dirac equation for an electron in a Coulomb field is systematically treated here by utilizing new insights provided by supersymmetry. It is shown that each of the concepts has its analogue in the non-relativistic case. Indeed, the non-relativistic case is developed first, in orde...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Hirshfeld, Allen C.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Singapore ; Hackesack, NJ : Imperial College Press ; World Scientific Publishers [distributor], 2012.
Temas:
Dirac, P. A. M. > (Paul Adrien Maurice), > 1902-1984.
Dirac equation.
Supersymmetry.
Quantum field theory.
Équation de Dirac.
Supersymétrie.
Théorie quantique des champs.
SCIENCE > Physics > Quantum Theory.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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 rules. 6.1. 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

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