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

• Authors: J. Sadeghi
• Languages of publication: EN

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

Keywords

EN

03.65.-w; 11.10.Lm; 11.30.Na; 12.39.St

Discipline

• 03.65.-w: Quantum mechanics[see also 03.67.-a Quantum information; 05.30.-d Quantum statistical mechanics; 31.30.J- Relativistic and quantum electrodynamics (QED) effects in atoms, molecules, and ions in atomic physics]
• 11.10.Lm: Nonlinear or nonlocal theories and models(see also 11.27.+d Extended classical solutions; cosmic strings, domain walls, texture)
• 11.30.Na: Nonlinear and dynamical symmetries (spectrum-generating symmetries)
• 12.39.St: Factorization

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2007
• Volume: 112
• Issue: 1
• Pages: 23-28

Dates

published

2007-07

received

2007-07-02

Contributors

author

J. Sadeghi

• 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

Identifiers

DOI

10.12693/APhysPolA.112.23