Identity for the Exponential-Type Molecule Potentials and the Supersymmetry Shape Invariance

Communications in Theoretical Physics

Volumn 36, Issue 6, 2001, Pages 641-646

  Jia, Chun Sheng ^a   Zhang, Ying ^b   Zeng, Xiang Lin ^a   Sun, Liang Tian ^a  

^a SOUTHWEST PETROLEUM INSTITUTE   (China)

^b Sichuan Teachers College   (China)

Author keywords

Deformed five parameter exponential type potential; Energy eigenvalue; Multi parameter deformation; Shape invariance

Indexed keywords

EID: 0035563405     PISSN: 02536102     EISSN: None     Source Type: Journal    
DOI: 10.1088/0253-6102/36/6/641     Document Type: Article

References (35)

1. P.M. Morse, Phys. Rev. 34 (1929) 57.
2. C. Eckart, Phys. Rev. 35 (1930) 1303.
3. L. Hulthén, Ark. Mat. Astron. Fys. A28 (1942) 5.
4. Z.H. DENG and Y.P. FAN, Shandong Univ. J. 7 (1957) 162 (in Chinese); A. Del Sol Mesa, C. Quesne and Y.F. Smirnov, J. Phys. A: Math. Gen. 31 (1998) 321.
5. Z.H. DENG and Y.P. FAN, Shandong Univ. J. 7 (1957) 162 (in Chinese); A. Del Sol Mesa, C. Quesne and Y.F. Smirnov, J. Phys. A: Math. Gen. 31 (1998) 321.
6. W. Hua, Phys. Rev. A42 (1990) 2524.
7. J.X. SUN, Acta Physica Sinica 48 (1999) 1992 (in Chinese).
8. M. Şimşek and S. Özçelik, Phys. Lett. A186 (1994) 35.
9. H. Eg̃rifes, D. Demirhan and F. Büyükk(Box drawing light dawn and left)l(Box drawing light dawn and left)ç F, Phys. Lett. A275 (2000) 229.
10. F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251 (1995) 267.
11. E. Witten, Nucl. Phys. B185 (1981) 513; F. Cooper and B. Freedman, Ann. Phys. 146 (1983) 262; C.V. Sukumar, J. Phys. A: Math. Gen. 18 (1985) 2917.
12. E. Witten, Nucl. Phys. B185 (1981) 513; F. Cooper and B. Freedman, Ann. Phys. 146 (1983) 262; C.V. Sukumar, J. Phys. A: Math. Gen. 18 (1985) 2917.
13. E. Witten, Nucl. Phys. B185 (1981) 513; F. Cooper and B. Freedman, Ann. Phys. 146 (1983) 262; C.V. Sukumar, J. Phys. A: Math. Gen. 18 (1985) 2917.
14. L.E. Gendenshtein, Sov. Phys. JETP Lett. 38 (1983) 356; F. Cooper, J.N. Ginocchio and A. Khare, Phys. Rev. D36 (1987) 2458; R. Dutt, A. Khare and U. Sukhatme, Am. J. Phys. 56 (1988) 163; D. Barclay, R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, Phys. Rev. A48 (1993) 2786; A.B. Balantekin, Phys. Rev. A57 (1998) 4188.
15. L.E. Gendenshtein, Sov. Phys. JETP Lett. 38 (1983) 356; F. Cooper, J.N. Ginocchio and A. Khare, Phys. Rev. D36 (1987) 2458; R. Dutt, A. Khare and U. Sukhatme, Am. J. Phys. 56 (1988) 163; D. Barclay, R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, Phys. Rev. A48 (1993) 2786; A.B. Balantekin, Phys. Rev. A57 (1998) 4188.
16. L.E. Gendenshtein, Sov. Phys. JETP Lett. 38 (1983) 356; F. Cooper, J.N. Ginocchio and A. Khare, Phys. Rev. D36 (1987) 2458; R. Dutt, A. Khare and U. Sukhatme, Am. J. Phys. 56 (1988) 163; D. Barclay, R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, Phys. Rev. A48 (1993) 2786; A.B. Balantekin, Phys. Rev. A57 (1998) 4188.
17. L.E. Gendenshtein, Sov. Phys. JETP Lett. 38 (1983) 356; F. Cooper, J.N. Ginocchio and A. Khare, Phys. Rev. D36 (1987) 2458; R. Dutt, A. Khare and U. Sukhatme, Am. J. Phys. 56 (1988) 163; D. Barclay, R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, Phys. Rev. A48 (1993) 2786; A.B. Balantekin, Phys. Rev. A57 (1998) 4188.
18. L.E. Gendenshtein, Sov. Phys. JETP Lett. 38 (1983) 356; F. Cooper, J.N. Ginocchio and A. Khare, Phys. Rev. D36 (1987) 2458; R. Dutt, A. Khare and U. Sukhatme, Am. J. Phys. 56 (1988) 163; D. Barclay, R. Dutt, A. Gangopadhyaya, A. Khare, A. Pagnamenta and U. Sukhatme, Phys. Rev. A48 (1993) 2786; A.B. Balantekin, Phys. Rev. A57 (1998) 4188.
19. C.S. JIA, X.W. JIANG, X.G. WANG and Q.B. YANG, Acta Physica Sinica 46 (1997) 12 (in Chinese); H. JING and Q.Y. SHI, Acta Physica Sinica 48 (1999) 1581 (in Chinese).
20. C.S. JIA, X.W. JIANG, X.G. WANG and Q.B. YANG, Acta Physica Sinica 46 (1997) 12 (in Chinese); H. JING and Q.Y. SHI, Acta Physica Sinica 48 (1999) 1581 (in Chinese).
21. A. Comtet, A. Bandrank and D.K. Campbell, Phys. Lett. B150 (1985) 159; R. Dutt, A. Khare and U. Sukhatme, Phys. Lett. B181 (1986) 295; M. Hruska, W.Y. Keung and U. Sukhatme, Phys. Rev. A55 (1997) 3345.
22. A. Comtet, A. Bandrank and D.K. Campbell, Phys. Lett. B150 (1985) 159; R. Dutt, A. Khare and U. Sukhatme, Phys. Lett. B181 (1986) 295; M. Hruska, W.Y. Keung and U. Sukhatme, Phys. Rev. A55 (1997) 3345.
23. A. Comtet, A. Bandrank and D.K. Campbell, Phys. Lett. B150 (1985) 159; R. Dutt, A. Khare and U. Sukhatme, Phys. Lett. B181 (1986) 295; M. Hruska, W.Y. Keung and U. Sukhatme, Phys. Rev. A55 (1997) 3345.
24. J.W. Dabrowska, A. Khare and U.P. Sukhatme, J. Phys. A: Math. Gen. 21 (1988) L195.
25. C.S. JIA, X.G. WANG, X.K. YAO, P.C. CHEN and W. XIAO, J. Phys. A: Math. Gen. 31 (1998) 4763.
26. S. Codriansky, P. Cordero and S. Salamó, J. Phys. A: Math. Gen. 32 (1999) 6287.
27. R. De, R. Dutt and U. Sukhatme, J. Phys. A: Math. Gen. 25 (1992) L843.
28. A. Arai, J. Math. Anal. Appl. 158 (1991) 63.
29. S. Flugge, Practical Quantum Mechanics, Springer, Berlin (1974).
30. C.S. JIA, X.G. WANG, Q.B. YANG, S. HE and H. LI, Commun. Theor. Phys. (Beijing, China) 30 (1998) 305.
31. C.S. JIA, J.Y. WANG, S. HE and L.T. SUN, J. Phys. A: Math. Gen. 33 (2000) 6993.
32. B.W. Williams and D.P. Poulios, Eur. Phys. J. 14 (1993) 222.
33. C.Y. CHEN and S.Z. HU, Acta Physica Sinica 44 (1995) 9 (in Chinese).
34. B. Gönül, O. Özer, Y. Cançelik and M. Koçak, Phys. Lett. A275 (2000) 238.
35. M. Znojil, J. Math. Chem. 19 (1996) 205.