Virial Theorem for a Class of Quantum Nonlinear Harmonic Oscillators

被引:2
|
作者
Wang Xue-Hong [1 ]
Guo Jun-Yi [1 ]
Li Yan [2 ]
机构
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] Nankai Univ, Chern Inst Math, Div Theoret Phys, Tianjin 300071, Peoples R China
基金
中国国家自然科学基金;
关键词
virial theorem; quantum nonlinear harmonic oscillators; Hellmann-Feynman theorem;
D O I
10.1088/0253-6102/58/4/04
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, the Virial Theorem based on a class of quantum nonlinear harmonic oscillators is presented. This relationship has to do with parameter A and partial derivative/partial derivative lambda, where the lambda is a real number. When lambda = 0, the nonlinear harmonic oscillator naturally reduces to the usual quantum linear harmonic oscillator, and the Virial Theorem also reduces to the usual Virial Theorem.
引用
收藏
页码:480 / 482
页数:3
相关论文
共 50 条
  • [41] Virial theorem in quasi-coordinates and Lie algebroid formalism
    Carinena, Jose F.
    Gheorghiu, Irina
    Martinez, Eduardo
    Santos, Patricia
    INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, 2014, 11 (09)
  • [42] Pohozaev identity and Virial Theorem for the Dirac-Coulomb operator
    Zelati, Vittorio Coti
    Nolasco, Margherita
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2017, 19 (01) : 601 - 615
  • [43] Generalized virial theorem for the Liénard-type systems
    JOSÉ F CARIÑENA
    ANINDYA GHOSE CHOUDHURY
    PARTHA GUHA
    Pramana, 2015, 84 : 373 - 385
  • [44] Virial theorem for Onsager vortices in two-dimensional hydrodynamics
    Pierre-Henri Chavanis
    The European Physical Journal Plus, 127
  • [45] Generalized virial theorem for the Li,nard-type systems
    Carinena, Jose F.
    Choudhury, Anindya Ghose
    Guha, Partha
    PRAMANA-JOURNAL OF PHYSICS, 2015, 84 (03): : 373 - 385
  • [46] Spatial and symmetry constraints as the basis of the virial theorem and astrophysical implications
    Hofmeister, Anne M.
    Criss, Robert E.
    CANADIAN JOURNAL OF PHYSICS, 2016, 94 (04) : 380 - 388
  • [47] Distribution of stress in force-balanced coils on virial theorem
    Tsutsui, H
    Nomura, S
    Watanabe, N
    Suzuki, C
    Kajita, S
    Ohata, Y
    Tsuji-Iio, S
    Shimada, R
    IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, 2003, 13 (02) : 1840 - 1843
  • [48] Design of compact high field tokamak based on virial theorem
    Tsutsui, H
    Ito, T
    Nakayama, K
    Nomura, S
    Tsuji-Iio, S
    Shimada, R
    FUSION ENGINEERING AND DESIGN, 2003, 66-68 : 1183 - 1187
  • [49] Generalized virial theorem and pressure relation for a strongly correlated Fermi gas
    Tan, Shina
    ANNALS OF PHYSICS, 2008, 323 (12) : 2987 - 2990
  • [50] On the virial theorem for the relativistic operator of Brown and Ravenhall, and the absence of embedded eigenvalues
    Balinsky, AA
    Evans, WD
    LETTERS IN MATHEMATICAL PHYSICS, 1998, 44 (03) : 233 - 248