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Exact solution of a quantum forced time-dependent harmonic oscillator

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

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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Available abstract

Key concepts: Harmonic oscillator, Quantum harmonic oscillator, Propagator, Schrödinger equation, Coherent states, Anharmonicity, Quantum mechanics, Wave function