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
[11]   ENERGY EIGENSTATES OF SPHERICALLY SYMMETRIC-POTENTIALS USING THE SHIFTED 1/N EXPANSION [J].
IMBO, T ;
PAGNAMENTA, A ;
SUKHATME, U .
PHYSICAL REVIEW D, 1984, 29 (08) :1669-1681
[12]  
KALARA S, 1982, UR812 ROCH U REP
[13]   A RODRIGUES FORMULA APPROACH TO DETERMINING CLOSED-FORM SOLUTIONS TO THE SCHRODINGER-EQUATION FOR SYMMETRIC ANHARMONIC-OSCILLATORS [J].
LEACH, PGL ;
FLESSAS, GP ;
GORRINGE, VM .
JOURNAL OF MATHEMATICAL PHYSICS, 1989, 30 (02) :406-412
[14]   EXACT-SOLUTIONS OF THE SCHRODINGER-EQUATION FOR A CLASS OF ANHARMONIC-OSCILLATORS [J].
LEACH, PGL .
PHYSICA D, 1985, 17 (03) :331-338
[16]  
MEODINOW L, 1980, ANN PHYS-NEW YORK, V128, P314
[17]  
MOROZOV AV, 1989, MIT CTP1741 PREPR
[18]   ANHARMONIC-OSCILLATOR AND ANALYTIC THEORY OF CONTINUED FRACTIONS [J].
SINGH, V ;
BISWAS, SN ;
DATTA, K .
PHYSICAL REVIEW D, 1978, 18 (06) :1901-1908
[19]   ON THE X2+LAMBDA-X2-(1+GX2) INTERACTION [J].
VARMA, VS .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1981, 14 (12) :L489-L492