Isospectral deformation of quantum potentials and the Liouville equation

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 55, Issue 4, 1997, Pages 2580-2593

  Eleonsky, V M ^a   Korolev, V G ^a  

^a KAPITZA INSTITUTE FOR PHYSICAL PROBLEMS   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0000542124     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.55.2580     Document Type: Article

References (28)

1. P.B. Abraham and H.E. Moses, Phys. Rev. A 22, 1333 (1980);
2. H.E. Moses and R.T. Prosser, J. Math. Phys. 24, 2146 (1983).
3. M. Luban and D.L. Pursey, Phys. Rev. D 33, 431 (1986);
4. D.L. Pursey, Phys. Rev. D 33, 1048 (1986);
5. D.L. Pursey, Phys. Rev. D 33, 2267 (1986);
6. D.L. Pursey, Phys. Rev. D 36, 1103 (1987).
7. B.M. Levitan, Matem. Sbornik 132, 73 (1987) (in Russian).
8. D.L. Pursey and T.A. Weber, Phys. Rev. A 50, 4472 (1994);
9. T.A. Weber and D.L. Pursey, Phys. Rev. A 52, 3923 (1995).
10. M.M. Nieto, Phys. Lett. B 145, 208 (1984).
11. C.V. Sukumar, J. Phys. A 18, L57 (1985);
12. C.V. Sukumar, J. Phys. A 18, 2917 (1985);
13. C.V. Sukumar, J. Phys. A 21, L455 (1988).
14. B. Mielnik, J. Math. Phys. 25, 3387 (1984).
15. H.P. McKean and E. Trubowitz, Commun. Math. Phys. 82, 471 (1982).
16. J. Poschel and E. Trubowitz, Inverse Spectral Theory (Academic, New York, 1987).
17. S.P. Novikov, S.V. Manakov, L.P. Pitaevskii, and V.E. Zakharov, Theory of Solitons: The Inverse Scattering Method (Consultants Bureau, New York, 1984).
18. A.C. Newell, Solitons in Mathematics and Physics (SIAM, Philadelphia, 1985).
19. F. Calogero and A. Degasperis, Spectral Transform and Solitons (North-Holland, Amsterdam, 1982), Vol. I.
20. V.A. Andreev, Teor. Mat. Fiz. 29, 213 (1976).
21. V.M. Eleonsky, V.G. Korolev and N.E. Kulagin, Chaos 4, 583 (1994);
22. V.M. Eleonsky and V.G. Korolev, J. Phys. A 28, 4973 (1995);
23. V.M. Eleonsky and V.G. Korolev, Int. J. Bifurc. Chaos 5, 1727 (1995).
24. V.M. Eleonsky and V.G. Korolev, J. Phys. A 29, L241 (1996).
25. L.D. Landau and I.M. Lifshitz, Quantum Mechanics (Nonrelativistic theory) (Pergamon, Oxford, 1984).
26. N. Rosen and P.M. Morse, Phys. Rev. 42, 210 (1932).
27. V.M. Chabanov and B.N. Zakhariev, Phys. Rev. A 49, R3159 (1994).
28. D.J. Fernandez, L.M. Nieto and O. Rosas-Ortiz, J. Phys. A 28, 2693 (1995).