Particle physics and the Schrödinger equation

著者

書誌事項

Particle physics and the Schrödinger equation

Harald Grosse, André Martin

（Cambridge monographs on particle physics, nuclear physics, and cosmology, 6）

Cambridge University Press, 1997

  • : hbk

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注記

Includes bibliographical references (p. 159-165) and index

内容説明・目次

巻冊次

ISBN 9780521392259

内容説明

This monograph introduces modern developments on the bound state problem in Schroedinger potential theory and its applications in particle physics. The Schroedinger equation provides a framework for dealing with energy levels of N-body systems. It was a cornerstone of the quantum revolution in physics of the twenties but re-emerged in the eighties as a powerful tool in the study of spectra and decay properties of mesons and baryons. This book begins with a detailed study of two-body problems, including discussion of general properties, level ordering problems, energy level spacing and decay properties. Following chapters treat relativistic generalisations, and the inverse problem. Finally, 3-body problems and N-body problems are dealt with. Applications in particle and atomic physics are considered, including quarkonium spectroscopy. The emphasis throughout is on showing how the theory can be tested by experiment. Many references are provided.

目次

  • Part I. Introduction
  • Part II. Two-body Problems: 1. General properties
  • 2. Order of energy levels
  • 3. Spacing of energy levels
  • 4. Miscellaneous results on the wave function at the origin
  • 5. Relativistic generalizations of results on level ordering
  • 6. The inverse problem for confining potentials
  • 7. Counting the number of bound states
  • Part III. Miscellaneous Results On The 3-body and N-body Problem: Appendices
  • References
  • Index.
巻冊次

: hbk ISBN 9780521444255

内容説明

This monograph presents a complete guide to the theory of modern spectroscopy of atoms. Atomic spectroscopy continues to be one of the most important subjects of contemporary physics. The book describes the contemporary state of the theory of many-electron atoms and ions, the peculiarities of their structure and spectra, the processes of their interaction with radiation, and some of the applications of atomic spectroscopy. It contains a large number of new results, which have been published mainly in Russian and are therefore almost unknown to western scientists. Primarily a reference for researchers and graduate students in atomic physics and physical chemistry, this work will also be of value to physicists and chemists in other areas who use spectroscopy in their work.

目次

  • Preface
  • Introduction
  • Part I. Energy Spectrum of Many-electron Atom. Radiative and Autoionizing Transitions (Initial Formulas): 1. Non-relativistic atomic Hamiltonian and relativistic corrections
  • 2. Relativistic atomic Hamiltonian. New wave function
  • 3. Perturbation theory for the energy of an atom
  • 4. Radiative and autoionizing electronic transitions. Generalized expressions for electric multipole (Ek) transition operators
  • Part II. Foundations of the Angular Momentum Theory. Graphical Methods: 5. Angular momentum and tensorial algebra
  • 6. Main quantities of angular momentum theory
  • 7. Angular momentum theory for relativistic case
  • 8. Graphical methods: their generalization for perturbation theory
  • Part III. Description of Complex Electronic Configurations: 9. Non-relativistic and relativistic cases of a shell of equivalent electrons
  • 10. Two and more shells of equivalent electrons
  • 11. Classification of energy levels
  • 12. Relations between various coupling schemes
  • Part IV. Second-quantization in the Theory of an Atom: Quasispin and Isospin: 13. Second-quantization and irreducible tensorial sets
  • 14. Operators and matrix elements in second-quantization representation
  • 15. Quasispin for a shell of equivalent electrons
  • 16. Algebraic expressions for coefficients of fractional parentage (CFP)
  • 17. Tensorial properties and quasispin of complex configurations
  • 18. Isospin in the theory of an atom
  • Part V. Matrix Elements of the Energy Operator: 19. The energy of a shell of equivalent electrons
  • 20. Interaction energy of two shells in LS coupling
  • 21. Semi-empirical methods of calculation of the energy spectra
  • 22. Hyperfine structure of the energy spectra, isotopic and Lamb shift
  • 23. Quasispin and isospin for relativistic matrix elements
  • Part VI. Electric and Magnetic Multipole Transitions: 24. General expressions for electric (Ek) and magnetic (Mk) multipole radiation quantities
  • 25. Non relativistic matrix elements of the Ek-transitions
  • 26. Relativistic matrix elements of Ek-transitions
  • 27. Mk-transitions. Particular cases of E2- and M1-transitions
  • Part VII. Calculation of Energy Spectra and Electronic Transitions in the Case of Complex Configurations: 28. Methods of determination of radial orbitals
  • 29. Correlation effects. Perturbation theory
  • 30. The role of gauge dependence, relativistic and correlation effects in electronic transitions
  • 31. Peculiarities of the structure and spectra of highly ionized atoms
  • 32. Global methods in the theory of many-electron atoms
  • 33. Peculiarities of configurations with vacancies in inner shells
  • Epilogue
  • References
  • Index.

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