EXACT ANYONIC STATES FOR A GENERAL QUADRATIC HAMILTONIAN

被引：62
|
作者：
POLYCHRONAKOS, AP
机构：
[1] Pupin Physics Laboratories, Columbia University, New York
来源：
PHYSICS LETTERS B | 1991年 / 264卷 / 3-4期
关键词：
D O I：
10.1016/0370-2693(91)90362-T
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
Exact energy eigenstates are produced for the problem of N nonrelativistic anyons with a general rotationally invariant hamiltonian quadratic in coordinates and momenta. In particular, this contains the system of anyons in an external harmonic oscillator potential and a constant magnetic field interacting through two-body linear and magnetic forces. Although an infinite class of states are found, there are "missing" states from the spectrum, whose discovery still remains an open issue.
引用
收藏
页码：362 / 366
页数：5
相关论文
共 50 条
  • [31] Exact decoupling of the Dirac Hamiltonian. I. General theory
    Reiher, M
    Wolf, A
    JOURNAL OF CHEMICAL PHYSICS, 2004, 121 (05): : 2037 - 2047
  • [32] TIME-DEPENDENT INVARIANT FOR THE QUADRATIC HAMILTONIAN AND THE STABLE SQUEEZED STATES
    HONGYI, F
    ZAIDI, HR
    CANADIAN JOURNAL OF PHYSICS, 1987, 65 (05) : 525 - 526
  • [33] Exact-Dimensional Property of Density of States Measure of Sturm Hamiltonian
    Qu, Yanhui
    INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2018, 2018 (17) : 5417 - 5454
  • [34] EXACT-SOLUTIONS FOR A SEMILINEAR HYPERBOLIC SYSTEM WITH GENERAL QUADRATIC INTERACTIONS
    BOFFI, VC
    NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA D-CONDENSED MATTER ATOMIC MOLECULAR AND CHEMICAL PHYSICS FLUIDS PLASMAS BIOPHYSICS, 1990, 12 (08): : 1153 - 1163
  • [35] WKB Wave Function of the General Time-Dependent Quadratic Hamiltonian System
    Jeong Ryeol Choi
    International Journal of Theoretical Physics, 2004, 43 : 947 - 958
  • [36] WKB wave function of the general time-dependent quadratic Hamiltonian system
    Choi, JR
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (04) : 947 - 958
  • [37] Reply to "Comment on 'Time-dependent general quantum quadratic Hamiltonian system" '
    Yeon, Kyu Hwang
    Um, Chung In
    George, Thomas F.
    PHYSICAL REVIEW A, 2006, 74 (06):
  • [38] Canonical and unitary transformation for a general time-dependent quadratic Hamiltonian system
    Um, CI
    Yeon, KH
    Kim, DH
    Shin, SM
    STOCHASTIC DYNAMICS AND PATTERN FORMATION IN BIOLOGICAL AND COMPLEX SYSTEMS, 2000, 501 : 360 - 365
  • [39] Quantum mechanical treatment of the general time-dependent quadratic Hamiltonian system
    Yeon, KH
    Kim, DH
    Zhang, S
    Um, CI
    Hong, SK
    Kim, IH
    JOURNAL OF THE KOREAN PHYSICAL SOCIETY, 1997, 30 (03) : 506 - 510
  • [40] Unitary Transformation of the Electronic Hamiltonian with an Exact Quadratic Truncation of the Baker-Campbell-Hausdorff Expansion
    Lang, Robert A.
    Ryabinkin, Ilya G.
    Izmaylov, Artur F.
    JOURNAL OF CHEMICAL THEORY AND COMPUTATION, 2021, 17 (01) : 66 - 78
12345