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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 |
|---|---|
| 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.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a March, Norman H. |q (Norman Henry), |d 1927- | |
| 245 | 1 | 0 | |a Self-consistent fields in atoms ; |b Hartree and Thomas-Fermi atoms / |c by N.H. March. |
| 250 | |a First edition]. | ||
| 264 | 1 | |a Oxford ; |a New York : |b Pergamon Press, |c [1975] | |
| 300 | |a 1 online resource (ix, 233 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Selected readings in physics | |
| 504 | |a Includes bibliographical references (pages 162-164). | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 505 | 8 | |a 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. | |
| 520 | |a 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 encompassing 13 chapters. Part I examines first the concepts of central field wave functions and angular momentum operators. This part also deals with the concept of self-consistent field, Thomas-Fermi atom, energies of atoms and ions, and other atomic properties. The electron-electron correlation and the. | ||
| 650 | 0 | |a Atoms |x Mathematical models. | |
| 650 | 0 | |a Hartree-Fock approximation. | |
| 650 | 0 | |a Self-consistent field theory. | |
| 650 | 6 | |a Atomes |0 (CaQQLa)201-0006001 |x Mod�eles math�ematiques. |0 (CaQQLa)201-0379082 | |
| 650 | 6 | |a M�ethode d'approximation Hartree-Fock. |0 (CaQQLa)201-0066694 | |
| 650 | 6 | |a M�ethode de Hartree. |0 (CaQQLa)201-0277987 | |
| 650 | 7 | |a SCIENCE |x Physics |x Quantum Theory. |2 bisacsh | |
| 650 | 7 | |a Atoms |x Mathematical models |2 fast |0 (OCoLC)fst00820661 | |
| 650 | 7 | |a Hartree-Fock approximation |2 fast |0 (OCoLC)fst00951755 | |
| 650 | 7 | |a Self-consistent field theory |2 fast |0 (OCoLC)fst01111530 | |
| 650 | 7 | |a Atommodell |2 gnd |0 (DE-588)4003422-7 | |
| 650 | 7 | |a Hartree-Fock-Methode |2 gnd |0 (DE-588)4137025-9 | |
| 650 | 7 | |a Self-consistent Field |2 gnd |0 (DE-588)4180911-7 | |
| 650 | 7 | |a Theorie |2 gnd |0 (DE-588)4059787-8 | |
| 650 | 7 | |a Thomas-Fermi-Methode |2 gnd |0 (DE-588)4185320-9 | |
| 650 | 7 | |a Atom |2 gnd |0 (DE-588)4003412-4 | |
| 650 | 1 | 7 | |a Hartree-Fock-benadering. |2 gtt |
| 650 | 1 | 7 | |a Atomen. |2 gtt |
| 650 | 1 | 7 | |a Wiskundige modellen. |2 gtt |
| 655 | 7 | |a Fermi-Atom. |2 swd | |
| 655 | 7 | |a Martree-Atom. |2 swd | |
| 655 | 7 | |a Selbstkonsistentes Feld. |2 swd | |
| 776 | 0 | 8 | |i Print version: |a March, Norman H. (Norman Henry), 1927- |t Self-consistent fields in atoms. |b First edition] |z 0080178197 |w (DLC) 74008317 |w (OCoLC)902838 |
| 830 | 0 | |a Commonwealth and international library. |p Selected readings in physics. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780080178196 |z Texto completo |