Quasiclassical Born-Oppenheimer approximations

被引:5
|
作者
Zaitsev, O [1 ]
Narevich, R
Prange, RE
机构
[1] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
[2] Univ Kentucky, Dept Phys & Astron, Lexington, KY 40506 USA
[3] Max Planck Inst Phys Komplexer Syst, Dresden, Germany
基金
美国国家科学基金会;
关键词
D O I
10.1023/A:1004153019473
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We discuss several problems in quasiclassical physics for which approximate solutions were recently obtained by a new method, and which can also be solved by novel versions of the Born-Oppenheimer approximation. These cases include the so-called bouncing ball modes, low angular momentum states in perturbed circular billiards, resonant states in perturbed rectangular billiards, and whispering gallery modes. Some rare, special eigenstates, concentrated close to the edge or along a diagonal of a nearly rectangular billiard are found. This kind of state has apparently previously escaped notice.
引用
收藏
页码:7 / 26
页数:20
相关论文
共 50 条
  • [1] Quasiclassical Born–Oppenheimer Approximations
    Oleg Zaitsev
    R. Narevich
    R. E. Prange
    Foundations of Physics, 2001, 31 : 7 - 26
  • [2] Local approximations beyond Born-Oppenheimer
    Wagner, Lucas
    Burke, Kieron
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2010, 240
  • [3] Mathematical analysis of Born-Oppenheimer approximations
    Hagedorn, George A.
    Joye, Alain
    SPECTRAL THEORY AND MATHEMATICAL PHYSICS: A FESTSCHRIFT IN HONOR OF BARRY SIMON'S 60TH BIRTHDAY: QUANTUM FIELD THEORY, STATISTICAL MECHANICS, AND NONRELATIVISTIC QUANTUM SYSTEMS, 2007, 76 : 203 - +
  • [4] COMPARISON OF BORN-OPPENHEIMER AND HYPERSPHERICAL ADIABATIC APPROXIMATIONS IN THE TRINUCLEON PROBLEM
    DAS, TK
    COELHO, HT
    BRITO, VP
    PHYSICAL REVIEW C, 1993, 48 (05): : 2201 - 2207
  • [5] BORN-OPPENHEIMER REVISITED
    AHARONOV, Y
    BENREUVEN, E
    POPESCU, S
    ROHRLICH, D
    NUCLEAR PHYSICS B, 1991, 350 (03) : 818 - 830
  • [6] GENERALIZING BORN-OPPENHEIMER APPROXIMATIONS AND OBSERVABLE EFFECTS OF AN INDUCED GAUGE FIELD
    SUN, CP
    GE, ML
    PHYSICAL REVIEW D, 1990, 41 (04): : 1349 - 1352
  • [7] ADIABATIC BORN-OPPENHEIMER APPROXIMATION
    SCHUTTE, CJH
    QUARTERLY REVIEWS, 1971, 25 (03): : 393 - &
  • [8] Limits of Born-Oppenheimer dynamics
    Yarkony, David
    ABSTRACTS OF PAPERS OF THE AMERICAN CHEMICAL SOCIETY, 2017, 254
  • [9] VALIDITY OF THE BORN-OPPENHEIMER APPROXIMATION
    BLUDMAN, S
    DAITCH, PB
    PHYSICAL REVIEW, 1954, 95 (03): : 823 - 830
  • [10] RESONANCES IN THE BORN-OPPENHEIMER APPROXIMATION
    MARTINEZ, A
    JOURNAL OF DIFFERENTIAL EQUATIONS, 1991, 91 (02) : 204 - 234