Language:   Search:   Contact
Zentralblatt MATH has released its new interface!
For an improved author identification, see the new author database of ZBMATH.

Query:
Fill in the form and click »Search«...
Format:
Display: entries per page entries
Zbl 1111.81043
Cheng, Yan-Fu; Dai, Tong-Qing
Exact solution of the Schrödinger equation for the modified Kratzer potential plus a ring-shaped potential by the Nikiforov--Uvarov method.
(English)
[J] Phys. Scr. 75, No. 3, 274-277 (2007). ISSN 0031-8949; ISSN 1402-4896/e

Summary: We propose a new exactly solvable potential which consists of the modified Kratzer potential plus a new ring-shaped potential $\beta\text{ ctg}^{2}\theta /r^{2}$. The exact solutions of the bound states of the Schrödinger equation for this potential are presented analytically by using the Nikiforov--Uvarov method, which is based on solving the second-order linear differential equation by reducing to a generalized equation of hypergeometric type. The wavefunctions of the radial and angular parts are taken on the form of the generalized Laguerre polynomials and the total energy of the system is different from the modified Kratzer potential because of the contribution of the angular part.
MSC 2000:
*81Q05 Closed and approximate solutions to quantum-mechanical equations
81U15 Exactly and quasi-solvable systems

Highlights
Master Server