Exact energy eigenvalues for spherically symmetrical three-dimensional potential

被引:14
作者
Ou, YC [1 ]
Cao, ZQ [1 ]
Shen, QS [1 ]
机构
[1] Shanghai Jiao Tong Univ, Inst Opt & Photon, Shanghai 200230, Peoples R China
基金
中国国家自然科学基金;
关键词
ATMM; effective potential; dispersion equation;
D O I
10.1016/j.physleta.2003.09.026
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Analytical transfer matrix method (ATMM) for arbitrary spherically symmetrical potentials is extended from one dimension to three dimensions. Comparison with the numerical method and the shifted 1/N expansion method shows that proposed analysis is as exact as the numerical method. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:36 / 39
页数:4
相关论文
共 19 条
  • [1] Bender C.M., 1978, Advanced mathematical methods for scientists and engineers
  • [2] ANHARMONIC OSCILLATOR .2. STUDY OF PERTURBATION-THEORY IN LARGE ORDER
    BENDER, CM
    WU, TT
    [J]. PHYSICAL REVIEW D, 1973, 7 (06): : 1620 - 1636
  • [3] ANHARMONIC OSCILLATOR
    BENDER, CM
    WU, TT
    [J]. PHYSICAL REVIEW, 1969, 184 (05): : 1231 - &
  • [4] COMPLEX SCALING AND ALGEBRAIC CALCULATION OF RESONANCES
    BENJAMIN, I
    LEVINE, RD
    [J]. PHYSICAL REVIEW A, 1986, 33 (04): : 2833 - 2835
  • [5] Quantization scheme for arbitrary one-dimensional potential wells
    Cao, ZQ
    Liu, QN
    Shen, QS
    Dou, XM
    Chen, YG
    Ozaki, Y
    [J]. PHYSICAL REVIEW A, 2001, 63 (05): : 541031 - 541034
  • [6] SUPERSYMMETRY, SHAPE INVARIANCE, AND EXACTLY SOLVABLE POTENTIALS
    DUTT, R
    KHARE, A
    SUKHATME, UP
    [J]. AMERICAN JOURNAL OF PHYSICS, 1988, 56 (02) : 163 - 168
  • [7] SUPERSYMMETRIC SEMICLASSICAL APPROACH TO CONFINED QUANTUM PROBLEMS
    DUTT, R
    MUKHERJEE, A
    VARSHNI, YP
    [J]. PHYSICAL REVIEW A, 1995, 52 (02): : 1750 - 1753
  • [8] CHARMONIUM - COMPARISON WITH EXPERIMENT
    EICHTEN, E
    GOTTFRIED, K
    KINOSHITA, T
    LANE, KD
    YAN, TM
    [J]. PHYSICAL REVIEW D, 1980, 21 (01): : 203 - 233
  • [9] Phase loss in WKB waves due to reflection by a potential
    Friedrich, H
    Trost, J
    [J]. PHYSICAL REVIEW LETTERS, 1996, 76 (26) : 4869 - 4873
  • [10] ENERGY EIGENSTATES OF SPHERICALLY SYMMETRIC-POTENTIALS USING THE SHIFTED 1/N EXPANSION
    IMBO, T
    PAGNAMENTA, A
    SUKHATME, U
    [J]. PHYSICAL REVIEW D, 1984, 29 (08): : 1669 - 1681