Parasupersymmetries and non-Lie constants of motion for two-particle equations

International Journal of Modern Physics A

Volumn 12, Issue 24, 1997, Pages 4369-4386

  Nikitin, A G ^a   Tretynyk, V V ^a  

^a INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039425375     PISSN: 0217751X     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217751X97002371     Document Type: Article

References (45)

1. W. I. Fushchich and A. G. Nikitin, Symmetries of Maxwell's Equation (D. Reidel, Dordrecht, 1987).
2. W. I. Fushchich and A. G. Nikitin, Symmetries of Equations of Quantum Mechanics (Nauka, Moscow, 1990; Allerton Press, New York, 1994).
3. W. Miller, Symmetry and Separating of Variables (Addison-Wesley, Massachusetts, 1977).
4. M. Fels and N. Kamran, J. Math. Phys. 27, 1893 (1990).
5. J. Beckers, N. Debergh and A. G. Nikitin, Phys. Lett. B279, 333 (1992).
6. J. Beckers, N. Debergh and A. G. Nikitin, J. Phys. A25, 6145 (1992).
7. V. A. Rubakov and V. P. Spiridonov, Mod. Phys. Lett. A3, 1337 (1988).
8. A. A. Andrianov, M. V. Ioffe, V. P. Spiridonov and L. Vinet, Phys. Lett. B272, 297 (1991) (see also references cited therein).
9. R. Floreanini and L. Vinet, Phys. Rev. D44, 3851 (1991).
10. G. P. Korchemsky, Phys. Lett. B267, 497 (1991).
11. J. Beckers and N. Debergh, J. Math. Phys. A8, 5041 (1993).
12. A. G. Nikitin and V. V. Tretynyk, J. Phys. A28, 1655 (1995).
13. M. Moshinsky and G. Loyola, in Workshop on Harmonic Oscillators - Procs. Conf., Univ. of Maryland, March 25-28, 1992 (NASA Conference Publications 3197, 1993), pp. 405-421.
14. M. Moshinsky, G. Loyola, A. Szczepaniak, C. Villegas and V. Aquino, in Relativistic Aspects of Nuclear Physics - Proc. Rio de Janeiro Int. Workshop (World Scientific, Singapore, 1990), pp. 271-307.
15. M. Moshinsky, G. Loyola and A. Szczepaniak, in Anniversary Volume for J. J. Giambiagi (World Scientific, Singapore, 1990), pp. 324-349.
16. A. Del Sol Mesa and M. Moshinsky, J. Phys. A27, 4685 (1994).
17. D. Itô, K. Mori and E. Carreri, Nuovo Cimento A51, 119 (1967);
18. P. A. Cook, Lett. Nuovo Cimento 1, 419 (1971);
19. M. Moshinsky and A. Szczepaniak, J. Phys. A22, L817 (1989).
20. J. Beckers, N. Debergh and A. G. Nikitin, J. Math. Phys. 33, 3387 (1992).
21. N. Debergh, J. Ndimubandi and D. Strivay, Z. Phys. C56, 421 (1992).
22. Y. Nedjadi and R. C. Barrett, J. Phys. A27, 4301 (1994).
23. A. G. Nikitin, S. P. Onufriychuck and A. I. Prilipko, Dopovidi AN Ukrainy, Ser. A N6, 28 (1990).
24. W. I. Fushchich and A. G. Nikitin, J. Phys. A23, L533 (1990).
25. A. G. Nikitin and W. I. Fuslichich, Teor. Mat. Fiz. 88, 406 (1991) (in Russian);
26. Theor. Math. Phys. 88, 960 (1992) (in English).
27. J. Beckers, N. Debergh and A. G. Nikitin, Fortsch. Phys. 43, 67, 81 (1995).
28. A. O. Barut and S. Komy, Fortschr. Phys. 33, 309 (1985);
29. A. O. Barut and G. L. Strobel, Few-Body System 1, 167 (1986).
30. H. Sazdjian, Phys. Rev. D33, 3401 (1986);
31. H. W. Crater and P. Van Alstine, J. Math. Phys. 31, 1998 (1990).
32. N. Kemmer, Proc. Camb. Phys. Soc. 39, 189 (1943).
33. K. M. Case, Phys. Rev. 99, 1572 (1955);
34. K. M. Case, Phys. Rev. 100, 1513 (1955);
35. E. Schrödinger, Proc. Roy. Soc. Lond. A229, 39 (1955).
36. M. Moshinsky and A. Del Sol Mesa, Can. J. Phys. 72, 453 (1994).
37. S. Durand and L. Vinet, J. Phys. A23, 3661 (1990).
38. H. I. Joo and J. H. Eberly, Phys. Rep. 118, 241 (1985);
39. V. V. Semenov and S. M. Chumakov, Phys. Lett. B262, 451 (1991).
40. J. Beckers and N. Debergh, Nucl. Phys. B340, 767 (1990).
41. J. Beckers and N. Debergh, Phys. Rev. D42, 1255 (1990).
42. M. Moreno, R. Martinez and A. Zentella, Mod. Phys. Lett. A5, 949 (1990).
43. M. Bednar, J. Ndimubandi and A. G. Nikitin, "On connections between the two-body Dirac oscillators and Kemmer oscillators," preprint ILAS/EP-10/1996, Trieste.
44. P. A. M. Dirac, The Principles of Quantum Mechanics (Clarendon, Oxford, 1958).
45. R. Tagen, Ann. Phys. 197, 439 (1990).