Quantum and Classical Exact Solutions of Harmonic Oscillator in a Time-Dependent Magnetic Field
Quantum and Classical Exact Solutions of Harmonic Oscillator in aTime-Dependent Magnetic Field
摘要
In cylindrical coordinate, exact wave functions of the two-dimensional time-dependent harmonic oscillator in a time-dependent magnetic field are derived by using the trial function method. Meanwhile, the exact classical solution as well as the classicalphase is obtained too. Through the Heisenberg correspondence principle, the quantum solution and the classical solution are connected together.
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