Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

doi:10.1088/1674-1056/19/9/090314

中国物理B ›› 2010, Vol. 19 ›› Issue (9): 90314-090314.doi: 10.1088/1674-1056/19/9/090314

Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

F. Tacskin, G. Koccak

Department of Physics, Erciyes University, 38039 Kayseri, Turkey bcfo

收稿日期:2010-01-14 出版日期:2010-09-15 发布日期:2010-09-15
基金资助:
Project supported by the Scientific and Technological Council of Turkey TUBITAK under the Integrated PhD Program fellowship.

Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

F. Tacskin and G. Koccak^†

Department of Physics, Erciyes University, 38039 Kayseri, Turkey

Received:2010-01-14 Online:2010-09-15 Published:2010-09-15
Supported by:
Project supported by the Scientific and Technological Council of Turkey TUBITAK under the Integrated PhD Program fellowship.

摘要/Abstract

摘要： The approximate analytical solutions of the Schrõdinger equation for the Eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, ξ=λ=1, and β=0, are investigated.

Abstract: The approximate analytical solutions of the Schr?dinger equation for the Eckart potential are presented for the arbitrary angular momentum by using a new approximation of the centrifugal term. The energy eigenvalues and the corresponding wavefunctions are obtained for different values of screening parameter. The numerical examples are presented and the results are in good agreement with the values in the literature. Three special cases, i.e., s-wave, $\xi=\lambda=1$, and $\beta=0$, are investigated.

Key words: Schrödinger equation, Eckart potential, bound state

中图分类号:

0365G

F. Tacskin, G. Koccak. Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term[J]. 中国物理B, 2010, 19(9): 90314-090314.

F. Tacskin and G. Koccak. Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term[J]. Chin. Phys. B, 2010, 19(9): 90314-090314.

参考文献 18

[1]	Schiff L I 1955 Quantum Mechanics 3rd (New York: McGraw-Hill)
[2]	Landau L D and Lifshitz E M 1977 Quantum Mechanics, Non-Relativistic Theory 3rd (Oxford: Pengamon)
[3]	Eckart C 1930 Phys. Rev. bf35 1303
[4]	Cooper F, Kahare A and Sukhatme U 1995 Phys. Rept. bf251 267
[5]	Weiss J J 1964 J. Chem. Phys. bf41 1120
[6]	Cimas A, Aschi M, Barrientos C, Ray`on V M, Sardo J A and Largo A 2003 Chem. Phys. Lett. bf374 594
[7]	Dong S H, Qiang W C, Sun G H and Bezerra V B 2007 J. Phys. A: Math. Theor. bf40 10535
[8]	Wei G F, Long C Y, Duan X Y and Dong S H 2008 Phys. Scr. bf77 035001
[9]	Chen C Y, Sun D S and Lu F L 2008 J. Phys. A: Math. Theor. bf41 035302
[10]	Zou X, Yi L Z and Jia C S 2005 Phys. Lett. A bf346 54
[11]	Yi L Z, Diao Y F and Jia C S 2004 Phys. Lett. A bf333 212
[12]	Jia C S, Guo P and Peng X L 2006 J. Phys. A: Math. Gen. bf39 7737
[13]	Wei G F, Dong C Y, Sun G H and Bezerra V B 2008 J. Phys. A: Math. Theor. bf40 10535
[14]	Zhang L H, Li X P and Jia C S 2008 Phys. Lett. A bf372 2201
[15]	Soylu A, Bayrak O and Boztosun I 2008 J. Phys. A: Math. Theor. bf41 065308
[16]	Bayrak O, Kocak G and Boztosun I 2006 J. Phys. A: Math. Gen. bf39 11521
[17]	Jia C S, Liu J Y and Wang P Q 2008 Phys. Lett. A 372 4779
[18]	Lucha W and Sch"oberl F F 1999 Int. J. Mod. Phys. C bf10 607

Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

Approximate solutions of Schrödinger equation for Eckart potential with centrifugal term

PDF (PC)

赞

可视化

摘要/Abstract

引用本文

使用本文

参考文献 18

相关文章 4

Metrics

本文评价

推荐阅读 0

[1]	卫高峰, 陈文利. Continuum states of modified Morse potential[J]. 中国物理B, 2010, 19(9): 90308-090308.
[2]	张学骜, 陈柯, 段正路. Bound states of Klein-Gordon equation and Dirac equation for ring-shaped non-spherical oscillator scalar and vector potentials[J]. 中国物理B, 2005, 14(1): 42-44.
[3]	马正义, 朱加民, 郑春龙. Fractal localized structures related to Jacobian elliptic functions in the higher-order Broer－Kaup system[J]. 中国物理B, 2004, 13(9): 1382-1385.
[4]	陈勇, 李彪, 张鸿庆. Extended Jacobi elliptic function method and its applications to (2+1)﹣dimensional dispersive long-wave equation[J]. 中国物理B, 2004, 13(1): 5-10.