Search
This Journal
This Journal
Anywhere
Quick Search in Journals
Enter words / phrases / DOI / ISBN / keywords / authors / etc
Access type:Only show content I have full access toOnly show Open Access
Advanced Search
0 My Cart
Sign in
Institutional Access

System Upgrade on Tue, May 28th, 2024 at 2am (EDT)

Existing users will be able to log into the site and access content. However, E-commerce and registration of new users may not be available for up to 12 hours.
For online purchase, please visit us again. Contact us at customercare@wspc.com for any enquiries.

Research PapersNo Access

EXACT SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE ROSEN–MORSE TYPE POTENTIALS VIA NIKIFOROV–UVAROV METHOD

A. REZAEI AKBARIEH

Faculty of Physics, University of Tabriz, Tabriz 51664, Iran

Search for more papers by this author

and

Faculty of Physics, University of Tabriz, Tabriz 51664, Iran

Search for more papers by this author

https://doi.org/10.1142/S0217732308026686Cited by:18 (Source: Crossref)

Abstract

The exact solutions of the one-dimensional Klein–Gordon equation for the Rosen–Morse type potential with equal scalar and vector potentials are presented. First, we briefly review Nikiforov–Uvarov mathematical method. Using this method, wave functions and corresponding exact energy equation are obtained for the s-wave bound state. It has been shown that the results for Rosen–Morse type potentials reduce to the standard Rosen–Morse well and Eckart potentials in the special case. The PT-symmetry for these potentials is also considered.

Keywords:

PACS: 03.65.Ge, 04.20.Jb

References

F. Dominguez-Adame, Phys. Lett. A 136, 175 (1989). Crossref, Web of Science, ADS, Google Scholar
M.-C. Zhang and Z.-B. Wang, Chin. Phys. 16, 1863 (2007). Google Scholar
Q. Zheng, P. Yue and L.-X. Gong, Chin. Phys. 15, 35 (2006). ADS, Google Scholar
M.-C. Zhang and Z.-B. Wang, Chin. Phys. Lett. 22, 2994 (2005). Web of Science, Google Scholar
F. Yasuk, A. Durmus and I. Boztosun, J. Math. Phys. 47, 082302 (2006), DOI: 10.1063/1.2227258. Crossref, Web of Science, Google Scholar
B. A. Volodin and A. M. Khapayev, Comput. Math. Math. Phys. 31, 69 (1991). Google Scholar
L. Z. Yiet al., Phys. Lett. A 333, 212 (2004), DOI: 10.1016/j.physleta.2004.10.054. Crossref, Web of Science, ADS, Google Scholar
E. Elizalde, Phys. Rev. D 37, 2127 (1988), DOI: 10.1103/PhysRevD.37.2127. Crossref, Web of Science, ADS, Google Scholar
H.-S. He, J. Chen and K.-Q. Yang, Chin. Phys. 14, 1926 (2005). Google Scholar
M. Simsek and H. Egrifes, J. Phys. London Math. Gen. 37, 4379 (2004), DOI: 10.1088/0305-4470/37/15/007. Crossref, ADS, Google Scholar
H. Egrifes and R. Sever, Int. J. Theor. Phys. 46, 935 (2007), DOI: 10.1007/s10773-006-9251-8. Crossref, Web of Science, Google Scholar
F. Dominguez-Adam, Phys. Lett. A 136, 175 (1989). Crossref, Web of Science, ADS, Google Scholar
L. Chetouaniet al., Physica A 234, 529 (1996), DOI: 10.1016/S0378-4371(96)00288-9. Crossref, Web of Science, ADS, Google Scholar
N. A. Rao and A. B. Kagali, Phys. Lett. A 296, 192 (2002), DOI: 10.1016/S0375-9601(02)00138-X. Crossref, Web of Science, ADS, Google Scholar
M. Znojil, Phys. Lett. A 102, 289 (1984), DOI: 10.1016/0375-9601(84)90683-2. Crossref, Web of Science, ADS, Google Scholar
A. F. Nikiforov and V. B. Uvarov , Special Functions of Mathematical Physics ( Birkhäuser , 1988 ) . Crossref, Google Scholar
N. Rosen and P. M. Morse, Phys. Rev. 42, 210 (1932), DOI: 10.1103/PhysRev.42.210. Crossref, ADS, Google Scholar
A. Arai, J. Math. Anal. Appl. 158, 63 (1991), DOI: 10.1016/0022-247X(91)90267-4. Crossref, Web of Science, Google Scholar
H. Egrifes, D. Demirhan and F. Buyukkilic, Phys. Script. 60, 195 (1999), DOI: 10.1238/Physica.Regular.060a00195. Crossref, Web of Science, ADS, Google Scholar
C. S. Jiaet al., Phys. Lett. A 311, 115 (2003), DOI: 10.1016/S0375-9601(03)00502-4. Crossref, Web of Science, ADS, Google Scholar
C. S. Jia, X. L. Zeng and L. T. Sun, Phys. Lett. A 294, 185 (2002), DOI: 10.1016/S0375-9601(01)00840-4. Crossref, Web of Science, ADS, Google Scholar
A. de S. Dutra, Phys. Lett. A 339, 252 (2005). Crossref, ADS, Google Scholar
C. Eckart, Phys. Rev. 35, 1303 (1930), DOI: 10.1103/PhysRev.35.1303. Crossref, Web of Science, ADS, Google Scholar
C. S. Jiaet al., Phys. Lett. A 300, 115 (2002), DOI: 10.1016/S0375-9601(02)00826-5. Crossref, Web of Science, ADS, Google Scholar

Journal cover image

Vol. 23, No. 35

Metrics

Downloaded 34 times

History

Received 2 January 2008

Revised 28 February 2008

Keywords