Relativistic treatment of a spin-zero particle subject to a Kratzer-type potential

被引:30
作者
Berkdemir, Cueneyt [1 ]
机构
[1] Erciyes Univ, Dept Phys, TR-38039 Kayseri, Turkey
关键词
D O I
10.1119/1.2360992
中图分类号
G40 [教育学];
学科分类号
040101 ; 120403 ;
摘要
The Kratzer potential is commonly used for obtaining bound state solutions and describing the vibrational motion of a single particle. The Klein-Gordon equation for Kratzer-type potentials is solved systematically by using the Nikiforov-Uvarov method. The exact bound state energy eigenvalues and the corresponding wave functions of the Klein-Gordon equation are obtained with equal scalar and vector potentials. (C) 2007 American Association of Physics Teachers.
引用
收藏
页码:81 / 86
页数:6
相关论文
共 37 条
[1]  
Abramowitz M., 1964, HDB MATH FUNCTIONS
[2]   Application of the effective interaction method to the relativistic Coulomb problem [J].
Adkins, GS ;
McGovern, NM .
AMERICAN JOURNAL OF PHYSICS, 2005, 73 (08) :759-770
[3]   Dirac and Klein-Gordon equations with equal scalar and vector potentials [J].
Alhaidari, AD ;
Bahlouli, H ;
Al-Hasan, A .
PHYSICS LETTERS A, 2006, 349 (1-4) :87-97
[4]  
[Anonymous], 1988, SPECIAL FUNCTIONS MA, DOI DOI 10.1007/978-1-4757-1595-8
[5]   General series solution for finite square-well energy levels for use in wave-packet studies [J].
Aronstein, DL ;
Stroud, CR .
AMERICAN JOURNAL OF PHYSICS, 2000, 68 (10) :943-949
[6]  
Bagrov V.G., 1990, EXACT SOLUTIONS RELA
[7]   2-CENTER MATRIX-ELEMENTS FOR KRATZER OSCILLATORS [J].
BASTIDA, A ;
ZUNIGA, J ;
ALACID, M ;
REQUENA, A ;
HIDALGO, A .
JOURNAL OF CHEMICAL PHYSICS, 1990, 93 (05) :3408-3412
[8]   Polynomial solutions of the Schrodinger equation for the generalized Woods-Saxon potential [J].
Berkdemir, C ;
Berkdemir, A ;
Sever, R .
PHYSICAL REVIEW C, 2005, 72 (02)
[9]   Bound state solutions of the Schrodinger equation for modified Kratzer's molecular potential [J].
Berkdemir, C ;
Berkdemir, A ;
Han, JG .
CHEMICAL PHYSICS LETTERS, 2006, 417 (4-6) :326-329
[10]   Any l-state solutions of the Morse potential through the Pekeris approximation and Nikiforov-Uvarov method [J].
Berkdemir, C ;
Han, HG .
CHEMICAL PHYSICS LETTERS, 2005, 409 (4-6) :203-207