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2007 | 112 | 1 | 23-28
Article title

Factorization Method and Solution of the Non-Central Modified Kratzer Potential

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Abstracts
EN
In this paper, we consider the non-central modified Kratzer potential. We tried to connect the corresponding Schrödinger equation to the associated Laguerre and Jacobi equation. For this purpose the factorization information from associated function was employed to solve the corresponding equations. It leads us to have some raising and lowering operators which are first-order equations. These operators help us to obtain all quantum states and energy spectrum for different n and m. The obtained results show that the degeneracy of the second quantum number (m) is completely removed
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author
  • Sciences Faculty, Department of Physics, Mazandaran University, P.O. Box 47415-416, Babolsar, Iran
References
  • 1. A. Kratzer, Z. Phys., 3, 289, 1920
  • 2. R.J. Le Roy, R.B. Bernstein, J. Chem. Phys., 52, 3869, 1970
  • 3. C.L. Pekeris, Phys. Rev., 45, 98, 1934
  • 4. M.A. Jafarizadeh, H. Fakhri, Ann. Phys. (New York), 262, 260, 1998
  • 5. A.F. Nikiforov, V.B. Uvarov, Special Functions of Mathematical Physics: A Unified Introduction with Applications, Birkhauser, Basel 1988
  • 6. J. Sadeghi, Eur. Phys. J. B, 50, 453, 2006
  • 7. H. Fakhri, J. Sadeghi, Mod. Phys. Lett. A, 19, 615, 2004
  • 8. M.A. Jafarizadeh, H. Fakhri, Phys. Lett. A, 230, 164, 1997
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Publication order reference
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bwmeta1.element.bwnjournal-article-appv112n103kz
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