One-dimensional hydrogen atom in quantum phase-space representation: rigorous solutions

被引:20
|
作者
Li, QS [1 ]
Lu, J
机构
[1] Beijing Inst Technol, Sch Chem Engn & Mat Sci, Beijing 100081, Peoples R China
[2] Jilin Univ, Natl Key Lab Theoret & Computat Chem, Changchun 130023, Jilin, Peoples R China
基金
中国国家自然科学基金;
关键词
D O I
10.1016/S0009-2614(01)00081-1
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
The rigorous solutions of the Schrodinger equations for the one-dimensional hydrogen atom are solved within the framework of the quantum phase-space representation established by Torres-Vega and Frederick. The eigenfunctions in position and momentum spaces can be obtained through the 'Fourier-like' projection transformation from the phase-space eigenfunctions. (C) 2001 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:118 / 122
页数:5
相关论文
共 50 条
  • [41] Quantum phase-space representation for curved configuration spaces
    Gneiting, Clemens
    Fischer, Timo
    Hornberger, Klaus
    PHYSICAL REVIEW A, 2013, 88 (06):
  • [42] A QUANTUM STATE-VECTOR PHASE-SPACE REPRESENTATION
    HARRIMAN, JE
    JOURNAL OF CHEMICAL PHYSICS, 1994, 100 (05): : 3651 - 3661
  • [43] SUBSIDIARY CONDITIONS IN THE PHASE-SPACE REPRESENTATION OF QUANTUM MECHANICS
    TAKABAYASI, T
    PROGRESS OF THEORETICAL PHYSICS, 1953, 10 (01): : 122 - 124
  • [44] A QUANTUM-MECHANICAL REPRESENTATION IN PHASE-SPACE - COMMENT
    HU, XG
    LI, QS
    JOURNAL OF CHEMICAL PHYSICS, 1994, 101 (08): : 7187 - 7188
  • [45] Comment on phase-space representation of quantum state vectors
    Moller, KB
    JOURNAL OF MATHEMATICAL PHYSICS, 1999, 40 (05) : 2531 - 2535
  • [46] Quantum de Finetti theorem in phase-space representation
    Leverrier, Anthony
    Cerf, Nicolas J.
    PHYSICAL REVIEW A, 2009, 80 (01):
  • [47] Hydrogen atom in phase space: the Wigner representation
    Praxmeyer, Ludmila
    Mostowski, Jan
    Wodkiewicz, Krzysztof
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (45): : 14143 - 14151
  • [48] RELATIVISTIC ONE-DIMENSIONAL HYDROGEN-ATOM
    SPECTOR, HN
    LEE, J
    AMERICAN JOURNAL OF PHYSICS, 1985, 53 (03) : 248 - 251
  • [49] One-dimensional twice kicked hydrogen atom
    I. Bersons
    R. Veilande
    Applied Physics B, 2004, 78 : 807 - 808
  • [50] RELATIVISTIC ONE-DIMENSIONAL HYDROGEN-ATOM
    GOSTEV, VB
    PERESFERNANDES, VK
    FRENKIN, AR
    GHIJOV, GA
    VESTNIK MOSKOVSKOGO UNIVERSITETA SERIYA 3 FIZIKA ASTRONOMIYA, 1989, 30 (02): : 92 - 94