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Self-consistent fields in atoms ; Hartree and Thomas-Fermi atoms /
Self-Consistent Fields in Atoms: Hartree and Thomas-Fermi Atoms covers the various aspects of atomic properties, including energy levels, binding energies, X-ray scattering activity, and magnetic properties. This book emphasizes the Hartree field concept. This book is organized into two parts encomp...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford ; New York :
Pergamon Press,
[1975]
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| Edición: | First edition]. |
| Colección: | Commonwealth and international library. Selected readings in physics.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Front Cover; Self-Consistent Fields in Atoms: Hartree and Thomas-Fermi Atoms; Copyright Page ; Table of Contents; Outline; PART I:; Chapter 1. Central field wave functions and angular momentum operators; 1.1. Introduction; 1.2. Angular momentum and central fields; 1.3. Shapes of atomic wave functions; Problems; Chapter 2. Concept of self-consistent field; 2.1. Size of atomic wave functions; 2.2. Wave equation for helium atom; 2.3. Hartree's self-consistent field; Problems; Chapter 3. Thomas-Fermi atom; 3.1. Classical energy equation for fastest electron.
- 3.2. Electron density and maximum electronic momentum3.3. Electron density for Coulomb field; 3.4. Approximate self-consistent fields in atoms and ions; Problems; Chapter 4. Energies of atoms and ions; 4.1. Variational derivation of Thomas-Fermi equation; 4.2. Evaluation of total electronic energy for heavy ions; 4.3. Relation between different energy terms for heavy atoms; 4.4. Foldy's calculation of atomic binding energies; Problems; Chapter 5. Other atomic properties; 5.1. Internal diamagnetic field in atoms; 5.2. Orbital diamagnetic susceptibility.
- 5.3. Linear momentum distribution in atoms5.4. Orbital angular momentum; 5.5. Eigenvalues for potentials related to Thomas-Fermi selfconsistent fields; Problems; Chapter 6. X-ray scattering and electron densities in atoms; 6.1. Coherent scattering; 6.2. Incoherent scattering; Problems; Chapter 7. Electron exchange and Slater determinants; 7.1. Spin-orbitals and total wave function for ground state of helium atom; 7.2. Slater determinants and antisymmetric wave functions; 7.3. Inclusion of exchange in Thomas-Fermi theory; 7.4. Variational derivation of exchange corrections to Hartree theory.
- ProblemsChapter 8. Electron-electron correlation; 8.1. Descriptions in terms of charge density; 8.2. Exchange and correlation holes in atoms; 8.3. Collective effects; Problems; Chapter 9. Relativistic effects in heavy atoms; 9.1. Dirac wave equation; 9.2. Central field solutions of Dirac equation; 9.3. Relativistic Thomas-Fermi theory; Problems; APPENDIX ; APPENDIX 1.1 Orthogonality of solutions of Schr�odinger equation; APPENDIX 2.1 Radial wave functions for hydrogen atom; APPENDIX 2.2 Variation method; APPENDIX 2.3 Hartree equations derived from a variational principle.
- APPENDIX 3.1 Solutions of the dimensionless Thomas-Fermi equationAPPENDIX 5.1 Hamiltonian for charged particle in an electromagnetic field; APPENDIX 5.2 Momentum wave functions in atoms and wave equation in momentum space; APPENDIX 6.1 Morse, Young and Haurwitz wave functions for heavier atoms; APPENDIX 6.2 X-ray scattering from gas of non-spherical molecules; APPENDIX 6.3 Self-consistent field for H2 molecule; APPENDIX 8.1 Relation between charge density and its gradient at nucleus; APPENDIX 9.1 Solution of Dirac equation for hydrogen atom; References; PART II.