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M. I. Petrashen - Applications of Group Theory in Quantum Mechanics

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M. I. Petrashen Applications of Group Theory in Quantum Mechanics

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Geared toward postgraduate students, theoretical physicists, and researchers, this advanced text explores the role of modern group-theoretical methods in quantum theory. The authors based their text on a physics course they taught at a prominent Soviet university. Readers will find it a lucid guide to group theory and matrix representations that develops concepts to the level required for applications.The texts main focus rests upon point and space groups, with applications to electronic and vibrational states. Additional topics include continuous rotation groups, permutation groups, and Lorentz groups. A number of problems involve studies of the symmetry properties of the Schroedinger wave function, as well as the explanation of additional degeneracy in the Coulomb field and certain subjects in solid-state physics. The text concludes with an instructive account of problems related to the conditions for relativistic invariance in quantum theory.

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Table of Contents Appendix to Chapter 7 Matrices of the irreducible - photo 1
Table of Contents

Appendix to Chapter 7

Matrices of the irreducible representations of the group O

Applications of Group Theory in Quantum Mechanics - photo 2
Fig 18 Bibliography WIGNER E P Group theory and - photo 3
Fig 18 Bibliography WIGNER E P Group theory and its applications to - photo 4
Fig 18 Bibliography WIGNER E P Group theory and its applications to - photo 5

Fig. 18

Bibliography
  1. WIGNER, E. P., Group theory and its applications to quantum mechanics of atomic spectra, Academic Press (1959).
  2. KAHAN, T., Theory of groups in classical and quantum physics, Oliver and Boyd (1965).
  3. MEIJER, P. H. E., Group theory and solid-state physics, Blackie and Son (1964).
  4. HAMERMESH, M., Group theory and its applications to physical problems, Pergamon Press (1962).
  5. LIUBARSKII, G., Applications of group theory and physics, Pergamon Press (1960).
  6. TINKHAM, M., Group theory and quantum mechanics, McGraw-Hill (1963).
  7. HEINE, V., Group theory in quantum mechanics, Pergamon (1960).
  8. KUROSH, A. G., Theory of groups, Chelsea Publishing Co. (1960).
  9. CRACKNELL, A. P., Applied group theory, Pergamon Press (1968).
  10. HALL. G. G , Applied group theory, Longmans Green (1967).
  11. FALICOV, L. M., Group theory and its physical applications, University of Chicago Press (1966).
  12. LOMONT, J. S. Applications of finite groups, Academic Press (1959).

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