期刊信息
- 刊名： 河北师范大学学报（自然科学版）Journal of Hebei Normal University (Natural Science)
- 主办： 河北师范大学
- ISSN： 1000-5854
- CN： 13-1061/N
- 中国科技核心期刊
- 中国期刊方阵入选期刊
- 中国高校优秀科技期刊
- 华北优秀期刊
- 河北省优秀科技期刊
Flow Equation Method for Studying Physical Properties of Nonlinear Harmonic Oscillators
摘要/Abstract
利用流方程方法研究了非线性谐振子系统的本征值.对于耦合谐振子系统,系统能谱与耦合项有关,并存在极小值.在非谐振参数(λp(0))和gi(0)与谐振子频率ωj(0)之比满足λp(0)/ωj(0)≤1,gi(0)/ωj(0)≤1(i,j=a,b;p=1,2)条件下,利用流方程方法给出了系统本征值能谱的一级近似解析式.结果也表明,在谐振子弱耦合情况下,一个谐振子的非谐振项主要对本谐振子频率产生影响,对其他谐振子频率的影响很小.
Applied the flow equation method to the study of the eigenv alue and the mean value of mechanical quantity for systems of nonlinear harmonic oscillators.For the coupled harmonic oscillators,the energy spectrum of system relates with the coupling items and exists a minimum value,when (λp(0)/ωj(0))≤1 and (gi(0)/ωj(0))≤1,λp (0) and gi (0) are the anharmonic parameter,ωj (0) is the frequency of the harmonic oscillators,where i,j=a,b;p=1,2),the analytic equation is gained.The results also indicate that for poor coupled harmonic oscillators,Anharmonic oscillator item of a harmonic oscillator mainly af fects its f requency of the harmonic oscillator,but it has small effect on the frequency of the other harmonic oscillator.