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ANY l-STATE ANALYTICAL SOLUTIONS OF THE KLEIN–GORDON EQUATION FOR THE WOODS–SAXON POTENTIAL

Institute for Physical Problems, Baku State University, Z. Khalilov Street 23, AZ-1148 Baku, Azerbaijan

Department of Mathematical Physics, Faculty of Applied Mathematics and Cybernetics, Baku State University, Z. Khalilov Street 23, AZ-1148 Baku, Azerbaijan

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S. V. BADALOV

Department of Physics, Bilkent University TR-06800 Ankara, Turkey

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https://doi.org/10.1142/S0218301310015862Cited by:45 (Source: Crossref)

Abstract

The radial part of the Klein–Gordon equation for the Woods–Saxon potential is solved. In our calculations, we have applied the Nikiforov–Uvarov method by using the Pekeris approximation to the centrifugal potential for any l-states. The exact bound state energy eigenvalues and the corresponding eigenfunctions are obtained on the various values of the quantum numbers n and l. The nonrelativistic limit of the bound state energy spectrum was also found.

Keywords:

PACS: 03.65.-w, 03.65.Fd, 03.65.Ge, 03.65.Pm

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References

F. Cooper, A. Khare and U. Sukhatme, Phys. Rep. 251, 267 (1995), DOI: 10.1016/0370-1573(94)00080-M. Crossref, ADS, Google Scholar
D. A. Morales, Chem. Phys. Lett. 394, 68 (2004), DOI: 10.1016/j.cplett.2004.06.109. Crossref, Web of Science, ADS, Google Scholar
C. L. Pekeris, Phys. Rev. 45, 98 (1934), DOI: 10.1103/PhysRev.45.98. Crossref, Web of Science, ADS, Google Scholar
S. Flügge , Practical Quantum Mechanics 1 ( Springer , Berlin , 1994 ) . Google Scholar
O. Bayrak and I. Boztosun, J. Phys. A 39, 6955 (2006), arXiv:nucl-th/0604042v1 DOI: 10.1088/0305-4470/39/22/010. Crossref, ADS, Google Scholar
O. Bayrak, G. Kocak and I. Boztosun, J. Phys. A: Math. Gen. 39, 11521 (2006), arXiv:math-ph/0609010v1 DOI: 10.1088/0305-4470/39/37/012. Crossref, ADS, Google Scholar
V. H. Badalov, H. I. Ahmadov and S. V. Badalov, News of Baku University N2, 157 (2008). Google Scholar
V. H. Badalov, H. I. Ahmadov and A. I. Ahmadov, Int. J. Mod. Phys. E 18, 631 (2009), arXiv:0905.2731v1 DOI: 10.1142/S0218301309012756. Link, ADS, Google Scholar
S. M. Ikhdair and R. Sever , arXiv:quant-ph/0610183v1 . Google Scholar
H. Egrifes and R. Sever, Int. J. Theory Phys. 46, 935 (2007), arXiv:quant-ph/0609231 DOI: 10.1007/s10773-006-9251-8. Crossref, Web of Science, Google Scholar
R. D. Woods and D. S. Saxon, Phys. Rev. 95, 577 (1954), DOI: 10.1103/PhysRev.95.577. Crossref, Web of Science, ADS, Google Scholar
A. Arda and R. Sever, Int. J. Mod. Phys. C 20, 651 (2009), arXiv:0901.2773v1 DOI: 10.1142/S0129183109013881. Link, Web of Science, ADS, Google Scholar
A. Arda and R. Sever, Int. J. Mod. Phys. A 24, 3985 (2009), arXiv:0902.2088v1 DOI: 10.1142/S0217751X0904600X. Link, Web of Science, ADS, Google Scholar
A. Berkdemir, C. Berkdemir and R. Sever, Mod. Phys. Lett. A 21, 2087 (2006), arXiv:quant-ph/0410153v3 DOI: 10.1142/S0217732306019906. Link, Web of Science, Google Scholar
C. Berkdemir, A. Berkdemir and R. Sever, Phys. Rev. C 72, 027001 (2005), DOI: 10.1103/PhysRevC.72.027001. Crossref, Web of Science, Google Scholar
Editorial Note to Phys. Rev. C 72 (2005) 027001; Phys. Rev. C 74 (2006) 039902(E) . Google Scholar
A. F. Nikiforov and V. B. Uvarov , Special Functions of Mathematical Physics ( Birkhäuser , Basel , 1988 ) . Crossref, Google Scholar
W. Greiner , Relativictic Quantum Mechanics ( Springer , Berlin , 1990 ) . Crossref, Google Scholar
C. M. Pereyet al., Phys. Rev. 175, 1460 (1968), DOI: 10.1103/PhysRev.175.1460. Crossref, Web of Science, ADS, Google Scholar
L. E. Ballentine , Quantum Mechanics ( World Scientific Publishing , Singapore , 1998 ) . Link, Google Scholar
H. Bateman and A. Erdelyi , Higher Transcendental Functions 2 ( McGraw-Hill , New York , 1953 ) . Google Scholar