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

页码：480 / 482

页数：3

共 50 条

[41] VIRIAL THEOREM IN RELATIVISTIC QUANTUM-MECHANICS
KALF, H
JOURNAL OF FUNCTIONAL ANALYSIS, 1976, 21 (04) : 389 - 396
[42] NOTE ON A CLASS OF NONLINEAR OSCILLATORS
SINGH, V
IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS AND CONTROL INSTRUMENTATION, 1976, 23 (03): : 332 - 333
[43] Global residue harmonic balance method to periodic solutions of a class of strongly nonlinear oscillators
Ju, Peijun
Xue, Xin
APPLIED MATHEMATICAL MODELLING, 2014, 38 (24) : 6144 - 6152
[44] Quantum statistics of an ensemble of harmonic oscillators
Das, SK
Sengupta, S
CURRENT SCIENCE, 2001, 81 (08): : 880 - 881
[45] Harmonic oscillators in relativistic quantum mechanics
Karwowski, Jacek
Pestka, Grzegorz
THEORETICAL CHEMISTRY ACCOUNTS, 2007, 118 (03) : 519 - 525
[46] On a hidden symmetry of quantum harmonic oscillators
Lopez, Raquel M.
Suslov, Sergei K.
Vega-Guzman, Jose M.
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (04) : 543 - 554
[47] Coupled harmonic oscillators and their quantum entanglement
Makarov, Dmitry N.
PHYSICAL REVIEW E, 2018, 97 (04)
[48] Harmonic oscillators in relativistic quantum mechanics
Jacek Karwowski
Grzegorz Pestka
Theoretical Chemistry Accounts, 2007, 118 : 519 - 525
[49] Harmonic oscillators in relativistic quantum mechanics
Toyama, F.M.
Nogami, Y.
Physical Review A. Atomic, Molecular, and Optical Physics, 1999, 59 (02):
[50] Harmonic oscillators in relativistic quantum mechanics
Toyama, FM
Nogami, Y
PHYSICAL REVIEW A, 1999, 59 (02): : 1056 - 1062

← 1 2 3 4 5 →