THE EIGENVALUES OF THE SCHRODINGER-EQUATION FOR SPHERICALLY SYMMETRICAL STATES FOR VARIOUS TYPES OF POTENTIALS IN 2-DIMENSIONS, 3-DIMENSIONS AND N-DIMENSIONS, BY USING PERTURBATIVE AND NONPERTURBATIVE METHODS

被引:35
作者
WITWIT, MRM
机构
[1] Dept. of Appl. Math., Hull Univ.
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 19期
关键词
D O I
10.1088/0305-4470/24/19/017
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The energy levels of the Schrodinger equation involving various model potentials in two, three and N-dimensional space, are calculated by using perturbative and non-perturbative methods. Our methods have been used effectively to calculate the energy eigenvalues even for high state numbers and large values of the perturbation parameters.
引用
收藏
页码:4535 / 4547
页数:13
相关论文
共 8 条
[1]   MOMENT METHOD FOR EIGENVALUES AND EXPECTATION VALUES [J].
BLANKENBECLER, R ;
DEGRAND, T ;
SUGAR, RL .
PHYSICAL REVIEW D, 1980, 21 (04) :1055-1061
[2]   QUANTUM-THEORY OF ANHARMONIC OSCILLATORS - ENERGY-LEVELS OF A SINGLE AND A PAIR OF COUPLED OSCILLATORS WITH QUARTIC COUPLING [J].
HIOE, FT ;
MACMILLEN, D ;
MONTROLL, EW .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 1978, 43 (07) :305-335
[3]  
KILLINGBECK J, 1985, J PHYS A-MATH GEN, V18, P1025, DOI 10.1088/0305-4470/18/16/006
[4]  
KILLINGBECK JP, 1985, MICROCOMPUTER QUANTU
[5]  
NASIT A, 1985, J MATH PHYS, V26, P1179
[6]  
WITWITT MRM, 1991, J PHYS A, V24, P2053
[7]  
WITWITT MRM, 1989, THESIS U HULL
[8]  
WITWITT MRM, 1990, UNPUB