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Variable Frequency Harmonic Oscillator in an Electromagnetic Field
Authors:HUANG Bo-Wen  WANG Jing-Shan  GU Zhi-Yu  QIAN Shang-Wu
Institution:1. Physics Department, Capital Normal University, Beijing 100037, China ;2. Physics Department, New Jersey Institute of Technology, Newark, NJ 07201, USA ;3. Physics Department, Peking University, Beijing 100871, China
Abstract:The invariant, propagator, and wavefunction for a variable frequency harmonic oscillator in an electromagnetic field are obtained by making a specific coordinate transformation and by using the method of phase space path integral method. The probability amplitudes for a dissipative harmonic oscillator in the time varying electric field E(t) = E0 sin(Ωt) are obtained.
Keywords:invariant  propagator  canonical transformation  phase space path integral  variable frequency harmonic oscillator
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