Accurate energy spectrum for double-well potential: Periodic basis

Molecular Physics

Volumn 108, Issue 15, 2010, Pages 1949-1955

  Pedram, P ^a   Mirzaei, M ^b   Gousheh, S S ^b  

^a ISLAMIC AZAD UNIVERSITY   (Iran)

^b SHAHID BEHESHTI UNIVERSITY   (Iran)

Author keywords

Basis sets; Double well potential; Eigenvalues and eigenfunctions; Linear variation

Indexed keywords

BASIS FUNCTIONS; BASIS SETS; DIRICHLET BOUNDARY CONDITION; DOUBLE-WELL POTENTIAL; ENERGY SPECTRA; EXACT SOLUTION; INFLECTION POINTS; LINEAR VARIATION; PERIODIC BOUNDARY CONDITIONS; TRIGONOMETRIC BASIS FUNCTIONS;

BOUNDARY CONDITIONS; SPECTROSCOPY;

EIGENVALUES AND EIGENFUNCTIONS;

EID: 77955396584     PISSN: 00268976     EISSN: 13623028     Source Type: Journal    
DOI: 10.1080/00268976.2010.499115     Document Type: Article

References (72)

1. C.M. Bender and T.T. Wu, Phys. Rev. 184, 1231.
2. Phys. Rev. D 7, 1620 (1973) (1969).
3. L.D. Landau and E.M. Lifschiz, Quantum Mechanics (Butterworth-Heinemann, Oxford, 1998).
4. S.Y. Slavyanov, Asymptotic Solutions of the One- Dimensional Schrödinger Equation (American Mathematical Society, Providence, 1996);
5. N. Fröman and P.O. Fröman, Phase-Integral Method (Springer-Verlag, New York, 1996), Physical Problems Solved by the Phase-Integral Method (Cambridge University Press, Cambridge, 2002).
6. M.R.M. Witwit, J. Phys. A 25, 503 (1992).
7. R.J. Hodgsonand and Y.P. Varshni, J. Phys. A 22, 61 (1989);
8. C.R. Handy, Phys. Rev. A 46, 1663 (1992);
9. M.R. Witwitand and J.P. Killingbeck, Can. J. Phys. 71, 475 (1993).
10. M. Bansal, S. Srivastava and Vishwamittar, Phys. Rev. A 44, 8012 (1991);
11. S. Srivastava and Vishwamittar, Mol. Phys. 72, 1285 (1991);
12. Mamta and Vishwamittar, Physica A 216, 452 (1995).
13. R. Balsa, M. Plo, J. Esteveand and A. Pacheco, Phys. Rev. D 28, 1945 (1983).
14. R. Bishop, M. Flynn, M. Bosca and R. Guardiola, Phys. Rev. A 40, 6154 (1989).
15. F. Arias De Saavedra and E. Buendia, Phys. Rev. A 42, 5073 (1990).
16. H. Kleinert, Path Integrals in Quantum Mechanics, Statistics, and Polymer Physics (World Scientific, Singapore, 1990).
17. E. Gildener and A. Patrascioiu, Phys. Rev. D 16, 423 (1977);
18. S. Coleman, Phys. Rev. D 15, 2929 (1977);
19. G. Álvarez, J. Math. Phys. 45, 3095 (2004).
20. Z. Cao, Q. Shen and F. Zhou, Phys. Rev. A 67, 062112 (2003).
21. A. Turbiner, Lett. Math. Phys. 74, 169 (2005).
22. K. Banerjee and P. Bhatnagar, Phys. Rev. D 18, 4767 (1978).
23. K. Bandyopadhyay, K. Bhattacharyya and A.K. Bhattacharya, Phys. Lett. A 314, 88 (2003).
24. V. Fack and G. Vanden Berghe, J. Phys. A 20, 4153 (1987);
25. P.-Z. Ding, X.-S. Liu, X.-Y. Liu, S.-F. Pan and Z.-Y. Zhou, Int. J. Quantum Chem. 79, 343 (2000).
26. V.I. Yukalov and E.P. Yukalova, J. Phys. A 29, 6429 (1996);
27. M. Robnik, L. Salasnich and V. Marko, Nonlinear Phenom. Complex Syst. (Dordrecht, Neth.) 2, 49 (1999);
28. C.S. Park and M.G. Jeong, Phys. Rev. A 58, 3443 (1998);
29. M.A. Jafarizadeh and S. Jalalzadeh, J. Math. Phys. 41, 701 (2000);
30. M. Jafarpour and D. Afshar, J. Phys. A 35, 87 (2002);
31. J.D. Bao and H.-Y. Wang, J. Phys. A 35, 7009 (2002);
32. F.M. Andrade, B.K. Cheng, M.W. Beims and M.G.E. daLuz, J. Phys. A 36, 227 (2003);
33. M. Battezzati, J. Phys. A 36, 3725 (2003);
34. F. Zhou, Z. Cao and Q. Shen, Phys. Rev. A 67, 062112 (2003);
35. D.G. Doubropoulos and C.A. Nicolaides, J. Chem. Phys. 119, 8235 (2003).
36. R.D. Carlitz and D.A. Nicole, Ann. Phys. (New York) 164, 411 (1985).
37. H. Friedrich and J. Trost, Phys. Rev. Lett. 76, 4869 (1996);
38. H. Friedrich and J. Trost, Phys. Rev. A 54, 1136 (1996).
39. M.G. Jeong, C.S. Park, D.K. Park and S.-K. Yoo, Phys. Rev. A 58, 3443 (1998).
40. J. Killingbeck, Phys. Lett. A 84, 95 (1981);
41. K. Banerjee and J.K. Bhattacharyya, Phys. Rev. D 29, 1111 (1984);
42. R.N. Chaudhuri and M. Mondal, Phys. Rev. A 40, 6080 (1989);
43. R.N. Chaudhuri and M. Mondal, Pramana J. Phys. 37, 13 (1991);
44. F.T. Hioe and E.W. Montroll, J. Math. Phys. 16, 1945 (1975);
45. F.T. Hioe, D. MacMillen and E.W. Montroll, J. Math. Phys. 17, 1320 (1976);
46. F.T. Hioe, D. MacMillen and E.W. Montroll, Phys. Rep. 43, 305 (1978).
47. J.P. Boyd, J. Math. Phys. 19, 1445 (1978).
48. R.J. Swenson and S.H. Danforth, J. Chem. Phys. 57, 1734 (1972);
49. K. Banerjee, Phys. Lett. A 63, 223 (1977);
50. J. Killingbeck, Phys. Lett. A 65, 87 (1978);
51. J.L. Richardson and R. Blakenbecler, Phys. Rev. D 19, 496 (1979);
52. C.S. Lai and M.P. Madan, Mol. Phys. 54, 669 (1985);
53. S. Srivastava and Vishwamitter, Chem. Phys. Lett. 176, 266 (1991).
54. C.S. Hsue and J.L. Chern, Phys. Rev. D 29, 643 (1984);
55. P.K. Patnaik, Phys. Rev. D 33, 3145 (1986).
56. H. Taseli, J. Comput. Phys. 101, 252 (1992).
57. H. Taseli, Int. J. Quantum Chem. 46, 319 (1993).
58. A. Chandra and K. Bhattacharyya, Pramana J. Phys. 43, 117 (1994).
59. R. Pathak and K. Bhattacharyya, Int. J. Quantum Chem. 54, 13 (1995);
60. R.K. Pathak, A.K. Chandra and K. Bhattacharyya, Phys. Rev. A 48, 4097 (1993);
61. R.K. Pathak, A.K. Chandra and K. Bhattacharyya, Phys. Lett. A 188, 300 (1994);
62. R.K. Pathak and K. Bhattacharyya, Chem. Phys. Lett. 230, 437 (1994);
63. K. Bhattacharyya and R.K. Pathak, Int. J. Quantum Chem. 59, 219 (1996).
64. G.A. Monerat, E.V.C. Silva, G. Oliveira-Neto, L.G.F. Filho and N.A. Lemos, Phys. Rev. D 73, 044022 (2006);
65. P. Amore, A. Aranda, M. Cervantes, J.L. D̀az-Cruz and F.M. Fernàndez, Phys. Rev. D 75, 068503, arXiv:gr-qc/0611029 (2007).
66. P. Pedram, J. Cosmol. Astropart. Phys. 07, 006, arXiv:0806.1913 (2008);
67. P. Pedram, S. Jalalzadeh and S.S. Gousheh, Phys. Lett. B 655, 91, arXiv:0708.4143 (2007);
68. P. Pedram, M. Mirzaei and S.S. Gousheh, Comput. Phys. Commun. 176, 581, arXiv:math-ph/0701015 (2007);
69. S.S. Goushe, H.R. Sepangi, P. Pedram and M. Mirzaei, Class. Quantum Grav. 24, 4377, arXiv:gr-qc/0701035 (2007);
70. P. Pedram, M. Mirzaei, S. Jalalzadeh and S.S. Gousheh, Gen. Rel. Grav. 40, 1663, arXiv:0711.3833 (2008);
71. P. Pedram, Int. J. Theor. Phys. 48, 1848, arXiv:0810.3382 (2009).
72. H. Taseli and R. Eid, Int. J. Quantum Chem. 59, 183 (1996).