Bound states in the Kratzer plus polynomial potentials and the new form of perturbation theory

Journal of Mathematical Chemistry

Volumn 26, Issue 1-3, 1999, Pages 157-172

  Znojil, Miloslav ^a  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034350523     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019185911999     Document Type: Article

References (57)

1. H.H. Aly and A.O. Barut, Phys. Lett. A 145 (1990) 299.
2. K. Bay and W. Lay, J. Math. Phys. 38 (1997) 2127.
3. C.M. Bender and S. Boettcher, J. Phys. A: Math. Gen. 31 (1998) L273-7.
4. C.M. Bender and T.T.S. Wu, Phys. Rev. 184 (1969) 1231.
5. N. Bessis and G. Bessis, J. Math. Phys. 38 (1997) 5483.
6. R.F. Bishop and M. Flynn, Phys. Rev. A 38 (1989) 2211.
7. S.N. Biswas, K. Datta, R.P. Saxena, P.K. Srivastava and V.S. Varma, J. Math. Phys. 14 (1973) 1190.
8. Y. Brihaye, N. Devaux and P. Kosinski, Int. J. Mod. Phys. A 10 (1995) 4633.
9. Y. Brihaye and P. Kosinski, Mod. Phys. Lett. A 13 (1998) 1445.
10. B.L. Burrows, M. Cohen and T. Feldmann, J. Math. Phys. 35 (1994) 5572.
11. A.C. Cadavid and R.J. Finkelstein, J. Math. Phys. 37 (1996) 3675.
12. K.M. Case, Phys. Rev. 80 (1950) 797.
13. R.N. Chaudhuri, M. Tater and M. Znojil, J. Phys. A: Math. Gen. 20 (1987) 2448.
14. E. Delabaere and F. Pham, Ann. Phys. 261 (1997) 180.
15. A.N. Drozdov, J. Phys. A: Math. Gen. 28 (1995) 445.
16. D.A. Estrin, F.M. Fernandez and E.A. Castro, Phys. Lett. A 130 (1988) 330.
17. F.M. Fernández, Phys. Lett. A 194 (1994) 343.
18. F.M. Fernández and R. Guardiola, J. Phys. A: Math. Gen. 30 (1997) 7187.
19. G.P. Flessas and A. Watt, J. Phys. A: Math. Gen. 14 (1981) L315.
20. S. Flügge, Practical Quantum Mechanics, Vol. 1 (Springer, New York, 1971) p. 178.
21. W.M. Frank, D.J. Land and R.M. Spector, Rev. Mod. Phys. 43 (1971) 36.
22. D.D. Frantz, D.R. Herschbach and J.D. Morgan III, Phys. Rev. A 40 (1989) 1175.
23. E. Fues, Ann. Physik 80 (1926) 367.
24. A. Hautot, Phys. Lett. A 38 (1972) 305.
25. A. Hautot, Phys. Rev. D 33 (1986) 437.
26. F.T. Hioe, D. MacMillan and E.W. Montroll, Phys. Rep. 43 (1978) 305.
27. E.L. Ince, Ordinary Differential Equations (Dover, New York, 1956).
28. I.A. Ivanov, Phys. Rev. A 54 (1996) 81.
29. J. Killingbeck, J. Phys. A: Math. Gen. 19 (1986) 2903.
30. H. Kleinert and W. Janke, Phys. Lett. A 206 (1995) 283.
31. A. Kratzer, Z. Physik 3 (1920) 289.
32. T. Kunihiro, Phys. Rev. D 57 (1998) R2035.
33. W. Lay, J. Math. Phys. 38 (1997) 639.
34. E. Magyari, Phys. Lett. A 81 (1981) 116.
35. S. Mandal, J. Phys. A: Math. Gen. 31 (1998) L501.
36. A. Messiah, Quantum Mechanics (North-Holland, Amsterdam, 1961).
37. P. Roy, B. Roy and R. Roychoudhury, Phys. Lett. A 144 (1990) 55.
38. R. Roychoudhury, Y.P. Varshni and M. Sengupta, Phys. Rev. A 42 (1990) 184.
39. B. Simon, Int. J. Quant. Chem. 21 (1982) 3.
40. L. Skála, J. Čížek, J. Dvořák and V. Špirko, Phys. Rev. A 53 (1996) 2009.
41. L. Skála, J. Čǐžek, V. Kapsa and E.J. Weniger, Phys. Rev. A 56 (1997) 4471.
42. F.H. Stillinger, J. Math. Phys. 20 (1979) 1891.
43. M. Tater, J. Phys. A: Math. Gen. 20 (1987) 2483.
44. M. Tater and A.V. Turbiner, J. Phys. A: Math. Gen. 26 (1993) 697.
45. A.V. Turbiner, Comm. Math. Phys. 118 (1988) 467.
46. A.V. Turbiner and A.G. Ushveridze, J. Math. Phys. 29 (1988) 2053.
47. A.V. Turbiner, Phys. Rev. A 50 (1994) 5335.
48. A.G. Ushveridze, Quasi-exactly Solvable Models in Quantum Mechanics (IOPP, Bristol, 1994).
49. A. Voros, J. Phys. A: Math. Gen. 27 (1994) 4653.
50. E. Vrscay, Theor. Chim. Acta 73 (1988) 365.
51. E.J. Weniger, Ann. Phys. (NY) 246 (1996) 133.
52. V.I. Yukalov and E.P. Yukalova, J. Phys. A: Math. Gen. 29 (1996) 6429.
53. M. Znojil, Lett. Math. Phys. 5 (1981) 405.
54. M. Znojil, J. Phys. A: Math. Gen. 27 (1994) 4945.
55. M. Znojil, J. Math. Phys. 38 (1997) 5087.
56. M. Znojil, Anharmonic oscillator in the new perturbative picture (JINR, Dubna, Russia, 1989), Communication No. E5-89-726, unpublished.
57. M. Znojil and P.G.L. Leach, J. Math. Phys. 33 (1992) 2785.