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
来源：
COMMUNICATIONS IN THEORETICAL PHYSICS | 2012年 / 58卷 / 04期
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
  • [21] Relativistic virial theorem for atoms
    Matsuoka, O
    Koga, T
    THEORETICAL CHEMISTRY ACCOUNTS, 2001, 105 (06) : 473 - 476
  • [22] Density scaling and virial theorem
    Nagy, A.
    MOLECULAR PHYSICS, 2015, 113 (13-14) : 1839 - 1842
  • [23] Electrons in a shell and the virial theorem
    Sañudo, J
    Pacheco, AF
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2003, 328 (3-4) : 439 - 448
  • [24] The virial theorem and planetary atmospheres
    Toth, Viktor T.
    IDOJARAS, 2010, 114 (03): : 229 - 234
  • [25] Virial theorem, boundary conditions, and pressure for massless Dirac electrons
    Sokolik, Alexey A.
    Zabolotskiy, Andrey D.
    Lozovik, Yurii E.
    ANNALS OF PHYSICS, 2020, 412
  • [26] Virial Theorem for Angular Displacement and Torque
    Nian-quan Jiang
    Hong-yi Fan
    Shuai Wang
    Jun-hua Chen
    Long-Ying Tang
    Wen-Jing Gu
    Gen-Chang Cai
    International Journal of Theoretical Physics, 2011, 50 : 3610 - 3615
  • [27] The virial theorem with periodic boundary conditions
    Maggs, A. C.
    CHEMICAL PHYSICS LETTERS, 2023, 816
  • [28] Variational Methods for Atoms and the Virial Theorem
    Fischer, Charlotte Froese
    Godefroid, Michel
    ATOMS, 2022, 10 (04)
  • [29] Virial Theorem for Angular Displacement and Torque
    Jiang, Nian-quan
    Fan, Hong-yi
    Wang, Shuai
    Chen, Jun-hua
    Tang, Long-ying
    Gu, Wen-jing
    Cai, Gen-chang
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2011, 50 (11) : 3610 - 3615
  • [30] Virial theorem and the two molecule interaction potential
    N. S. Galibin
    High Temperature, 2012, 50 : 596 - 601
12345