Open AccessSolution of time-dependent harmonic oscillator system using explicit Euler method and discussion of the cyclic initial states
Author(s) -
Yi Zheng,
Yang Xin-E
Publication year - 2005
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.54.511
Subject(s) - adiabatic process , euler's formula , harmonic oscillator , backward euler method , euler method , state (computer science) , euler equations , time evolution , harmonic , mathematics , mathematical analysis , physics , quantum mechanics , algorithm
The Schrdinger equation of forced timedependent harmonic oscillator is solved by using the explicit Euler method. The result of evolution of the initial state is given, the feasibility and applicability of explicit Euler method are discussed. Using coherent state, the nonadiabatic berry phase and the cyclic initial states of the system are discussed.