Solution of time-dependent harmonic oscillator system using explicit Euler method and discussion of the cyclic initial states

Zheng Yi; Yang Xin-E

doi:10.7498/aps.54.511

Abstract
The Schrdinger equation of forced timedependent 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 nonadiabatic berry phase and the cyclic initial states of the system are discussed.

Keywords:
explicit Euler method /

timedependent harmonic oscillator /

cyclic initial state /

nonadiabatic berry phase
Authors and contacts
Zheng Yi¹,

Yang Xin-E²

(1)天津大学理学院，天津 300072; (2)天津大学理学院，天津 300072;南开大学天津大学刘徽应用数学中心，天津 300072
References

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Vol. 54, Issue 2 - 2005-01-20

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Solution of time-dependent harmonic oscillator system using explicit Euler method and discussion of the cyclic initial states

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Solution of time-dependent harmonic oscillator system using explicit Euler method and discussion of the cyclic initial states

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