SOLVING THE HEISENBERG EQUATION OF MOTION OF THE TIME-DEPENDENT FORCED HARMONIC OSCILLATOR USING TIME-DEPENDENT ANNIHILATION AND CREATION OPERATORS

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Published: Apr 30, 2021
Keywords:
time-dependent creation operator time-dependent annihilation operator force vibration harmonic oscillator

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Artit Hutem
Physics Division, Faculty of Science and Technology, Phetchabun Rajabhat University, Phetchabun 67000, Thailand
Piyarut Moonsri
Mantana Deena

Abstract

For this study, the researchers purposed to evaluate the Heisenberg equation of motion for the creation and annihilation operator under the force vibration simple harmonic oscillation. Instead of using the first-order ordinary differential equation to solve the Heisenberg equation of motion, the researchers got the time-dependent creation and annihilation operator under the time-dependent force vibration simple harmonic oscillation. The behavior of wave group in the creation and annihilation operator for image part is destroyed by increasing of the parameter value of gif.latex?\alpha.

Article Details

Issue
Vol. 9 No. 1 (2021): January - April
Section
Research Article

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