Regular PapersNo Access

ALGEBRAIC APPROACH TO THE KLEIN–GORDON EQUATION WITH HYPERBOLIC SCARF POTENTIAL

Computation Center, Dalian University, 116622, People's Republic of China

Departamento de Fí sica, Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Edificio 9, Unidad Profesional Adolfo López Mateos, Mexico D.F. 07738, Mexico

Search for more papers by this author

H. BAHLOULI

Physics Department, King Fahd University of Petroleum & Minerals, Dhahran 31261, Saudi Arabia

Search for more papers by this author

, and

V. B. BEZERRA

Departamento de Física, Universidade Federal da Paraíba, 58051-970 João Pessoa, PB, Brazil

Search for more papers by this author

https://doi.org/10.1142/S0218301311017326Cited by:21 (Source: Crossref)

Abstract

Using the shape invariance approach we obtain exact solutions of one-dimensional Klein–Gordon equation with equal types of scalar and vector hyperbolic Scarf potentials. This is considered in the framework of supersymmetric quantum mechanics method.

Keywords:

PACS: 03.65.Pm, 03.65.Ge

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

D. ter Haar , Problems in Quantum Mechanics , 3rd edn. ( Pion Ltd , London , 1975 ) . Google Scholar
S. H. Dong , Factorization Method in Quantum Mechanics ( Springer , Netherlands , 2007 ) . Crossref, Google Scholar
Z. Q. Ma and B. W. Xu, Europhys. Lett. 69 (2005) 685; Chin. Phys. Soc. 55 (2006) 1571 (in Chinese) . Google Scholar
G. Chen, Z. D. Chen and Z. M. Lou, Phys. Lett. A 331 (2004) 374; G. Chen, Phys. Lett. A 339 (2005) 300; G. Chen, Z. D. Chen and X. L. Peng, Phys. Lett. A 352 (2006) 317; A. de Souza Dutra and G. Chen, Phys. Lett. A 349 (2006) 297; S. M. Ikhdair and R. Sever, Int. J. Mod. Phys. C 19 (9) (2008) 1425; A. Soylu et al., Chin. Phy. Lett. 25 (8) (2008) 2754 . Google Scholar
L. Z. Yi, Y. F. Diao, J. Y. Liu and C. S. Jia, Phys. Lett. A 333 (2004) 212; Y. F. Diao, L. Z. Yi and C. S. Jia, Phys. Lett. A 332 (2004) 157; A. S. de Castro, Phys. Lett. A 338 (2005) 81; A. D. Alhaidari, H. Bahlouli and A. Al-Hasan, Phys. Lett. A 349 (2006) 47 . Google Scholar
Z. Q. Maet al., Int. J. Mod. Phys. E 13(3), 597 (2004). Link, ADS, Google Scholar
V. G. Bagrov and D. M. Gitman, Exact Solution of Relativistic Wave Equations (Kluwer Academic Publishers, Dordrecht, 1990); C. Grosche, J. Phys. A 38 (2005) 2947 . Google Scholar
E. D. Filho and R. M. Ricotta, , arXiv:hep-th/0104267 . Google Scholar
W. Greiner , Relativistic Quantum Mechanics , 3rd edn. ( Springer , Berlin , 2000 ) . Google Scholar
W. C. Qiang, R. S. Zhou and Y. Gao, Phys. Lett. A 371 (2007) 201; C. Y. Chen,D. S. Sun and F. L. Lu, Phys. Lett. A 370 (2007) 219 . Google Scholar
S. Haouat and L. Chetouani, Phys. Scripta 77, 025005 (2008), DOI: 10.1088/0031-8949/77/02/025005. Crossref, Web of Science, Google Scholar
D. E. Alvarez-Castillo and M. Kirchbach, Rev. Mex. Fis. E 53, 143 (2007). Web of Science, Google Scholar
C. N. Yang, Monopoles in Quantum Field Theory, Proceedings of the Monopole Meeting, eds. N. S. Craigie, P. Goddard and W. Nahm (World Scientific, Singapore, 1982) p. 237. Google Scholar
I. S. Gradshteyn and I. M. Ryzhik, Tables of Integrals, Series, and Products, 5th edn. (Academic Press, New York, 1994). Google Scholar