BOUND-STATES OF ANHARMONIC POTENTIALS

被引:10
作者
CHHAJLANY, SC
MALNEV, VN
机构
[1] Physics Department, Addis Ababa University, Addis Ababa
来源
PHYSICAL REVIEW A | 1990年 / 42卷 / 05期
关键词
D O I
10.1103/PhysRevA.42.3111
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
A procedure based on the exact solutions of multiple-step recursion relations with successive coefficients is shown to provide upper bounds to the bound-state energies of a class of anharmonic-oscillator potentials. Any finite set of energy levels can thereby be estimated to any accuracy. The associated wave functions are guaranteed to be normalizable. © 1990 The American Physical Society.
引用
收藏
页码:3111 / 3114
页数:4
相关论文
共 19 条
[1]   EIGENVALUES OF LAMBDA X2M ANHARMONIC OSCILLATORS [J].
BISWAS, SN ;
DATTA, K ;
SAXENA, RP ;
SRIVASTAVA, PK ;
VARMA, VS .
JOURNAL OF MATHEMATICAL PHYSICS, 1973, 14 (09) :1190-1195
[2]   THE SCHRODINGER-EQUATION FOR THE CHI-2+LAMBDA-CHI-2/(1+G-CHI-2) INTERACTION [J].
BLECHER, MH ;
LEACH, PGL .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1987, 20 (17) :5923-5927
[3]   SIMPLE EXAMPLES IN SINGULAR PERTURBATION-THEORY - EIGENVALUES THAT DO NOT TEND TO THE UNPERTURBED VALUES AS THE PERTURBATION IS SWITCHED OFF [J].
CALOGERO, F .
LETTERE AL NUOVO CIMENTO, 1979, 25 (17) :533-538
[4]   IMPROVED SHIFTED 1/N EXPANSION [J].
CHRISTIANSEN, H ;
EPELE, LN ;
FANCHIOTTI, H ;
CANAL, CAG .
PHYSICAL REVIEW A, 1989, 40 (04) :1760-1764
[5]   RELATIONSHIP BETWEEN SUPERSYMMETRY AND SOLVABLE POTENTIALS [J].
COOPER, F ;
GINOCCHIO, JN ;
KHARE, A .
PHYSICAL REVIEW D, 1987, 36 (08) :2458-2473
[6]   EXACT ANALYTIC SOLUTIONS FOR THE QUANTUM-MECHANICAL SEXTIC ANHARMONIC-OSCILLATOR [J].
DUTTA, AK ;
WILLEY, RS .
JOURNAL OF MATHEMATICAL PHYSICS, 1988, 29 (04) :892-900
[7]   THE OPERATOR METHOD OF THE APPROXIMATE SOLUTION OF THE SCHRODINGER-EQUATION [J].
FERANCHUK, ID ;
KOMAROV, LI .
PHYSICS LETTERS A, 1982, 88 (05) :211-214
[8]   TIGHT UPPER AND LOWER BOUNDS FOR ENERGY EIGENVALUES OF THE SCHRODINGER-EQUATION [J].
FERNANDEZ, FM ;
MA, Q ;
TIPPING, RH .
PHYSICAL REVIEW A, 1989, 39 (04) :1605-1609
[9]   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
[10]   2-STEP APPROACH TO ONE-DIMENSIONAL ANHARMONIC-OSCILLATORS [J].
HSUE, CS ;
CHERN, JL .
PHYSICAL REVIEW D, 1984, 29 (04) :643-647