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1991•Unpublished venueOpen access

Exact Solution of a Quantum Forced Time-Dependent Harmonic Oscillator

Kyu Hwang Yeon, Thomas F. George, Chung‐In Um

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Abstract

The Schrodinger equation is used to exactly evaluate the propagator, wave function, energy expectation values, uncertainty values, and coherent state for a harmonic oscillator with a time dependent frequency and an external driving time dependent force. These quantities represent the solution of the classical equation of motion for the time dependent harmonic oscillator.

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The Schrodinger equation is used to exactly evaluate the propagator, wave function, energy expectation values, uncertainty values, and coherent state for a harmonic oscillator with a time dependent frequency and an external driving time dependent force. These quantities represent the solution of the classical equation of motion for the time dependent harmonic oscillator.

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Available abstract

The Schrodinger equation is used to exactly evaluate the propagator, wave function, energy expectation values, uncertainty values, and coherent state for a harmonic oscillator with a time dependent frequency and an external driving time dependent force. These quantities represent the solution of the classical equation of motion for the time dependent harmonic oscillator.

Key concepts: Harmonic oscillator, Quantum, Quantum harmonic oscillator, Quantum mechanics, Physics, Mathematics

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