Theoretical and Mathematical Physics

, Volume 78, Issue 2, pp 211–216 | Cite as

Coulomb problem in supersymmetric quantum mechanics

  • M. D. Vardiashvili
  • V. A. Matveev
  • L. A. Slepchenko


Quantum Mechanic Supersymmetric Quantum Mechanic Coulomb Problem 
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Literature Cited

  1. 1.
    E. Witten, Nucl. Phys. B,185, 513 (1981).Google Scholar
  2. 2.
    M. de Crombrugghe and V. Rittenberg, Ann. Phys. (N.Y.),151, 99 (1983); A. B. Balantekin, Ann. Phys. (N.Y.),164, 277 (1985).Google Scholar
  3. 3.
    A. A. Andrianov, N. V. Borisov, M. V. Ioffe, and M. I. Éides, Teor. Mat. Fiz.,61, 17 (1984).Google Scholar
  4. 4.
    L. A. Slepchenko, “Dynamical supersymmetry of the hydrogen atom,” Preprint R2-86-148 [in Russian], Dubna (1986).Google Scholar
  5. 5.
    S. Fubini and E. Rabinovici, Nucl. Phys. B,245, 17 (1984).Google Scholar
  6. 6.
    V. Z. Fock, Phys. B,98, 145 (1935); V. Z. Bargmann, Phys. B,99, 576 (1936).Google Scholar
  7. 7.
    B. Wybourne, Classical Groups for Physicists, Wiley, New York (1974); M. J. Englefield, Group Theory and Coulomb Problem, Wiley, New York (1972); A. O. Barut, Dynamical Groups and Generalized Symmetries in Quantum Theory, Christchurch, New Zealand (1972); É. B. Aronson, I. A. Malkin, and V. I. Man'ko, Fiz. Elem. Chastits At. Yadra,5, 122 (1974).Google Scholar
  8. 8.
    R. Jackiw, Ann. Phys. (N.Y.),129, 183 (1980); V. de Alfaro, S. Fubini, and G. Furlan, Nuovo Cimento A,34, 569 (1976).Google Scholar
  9. 9.
    J. Schwinger, Phys. Rev.,144, 1087 (1966);173, 1536 (1968); A. O. Barut and J. L. Bornzin, J. Math. Phys.,12, 841 (1971).Google Scholar
  10. 10.
    E. D'Hoker and L. Vinet, Nucl. Phys. B,260, 79 (1985).Google Scholar
  11. 11.
    V. P. Akulov and A. I. Pashnev, Teor. Mat. Fiz.,56, 344 (1983).Google Scholar
  12. 12.
    V. A. Kostelecky, N. M. Nieto, and D. R. Truax, Phys. Rev. D,32, 2627 (1985).Google Scholar
  13. 13.
    E. Schrödinger, Proc. R. Ir. Acad., Sec. A,46, 9 (1940); L. Infeld and T. E. Hull, Rev. Mod. Phys.,23, 21 (1951).Google Scholar
  14. 14.
    H. S. Green, Matrix Mechanics, S-H Services (1965).Google Scholar
  15. 15.
    J. M. Jauch and E. L. Hill, Phys. Rev.,57, 641 (1940).Google Scholar
  16. 16.
    V. Rittenberg, Lecture Notes in Physics, No. 79, New York (1978); Lecture Notes in Mathematics, No. 716, New York (1979).Google Scholar
  17. 17.
    M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, Dover (1964).Google Scholar

Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • M. D. Vardiashvili
  • V. A. Matveev
  • L. A. Slepchenko

There are no affiliations available

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