Responses to Frequency Modulation in a Quantum Harmonic Oscillator

Volume 4, Issue 1, February 2019     |     PP. 8-16      |     PDF (1074 K)    |     Pub. Date: March 20, 2019
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Chang Jae Lee, Department of Nanochemistry, Sun Moon University, Asan 31460, Korea.

A quantum harmonic oscillator with a frequency modulation is an extensively studied model, and has relevance to important physical processes. In this paper we consider response of the frequency modulation in terms of the time dependence of quasi energies and the deviation from the quantum virial theorem. Four modulation types\- linear, quadratic, exponential, and sinusoidal-are considered. In all cases the average potential and the average kinetic quasi-energies as well as the deviation from the quantum virial theorem exhibit oscillations in response to frequency modulation. A comparative study of the responses for these modulation types are given.

Time-dependent harmonic oscillator, Frequency modulation, quasienergy, quantum virial theorem

Cite this paper
Chang Jae Lee, Responses to Frequency Modulation in a Quantum Harmonic Oscillator , SCIREA Journal of Physics. Volume 4, Issue 1, February 2019 | PP. 8-16.


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