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Coherent states for the time-dependent harmonic oscillator

John G. Hartley, John R. Ray

Open publisher page 130 citations

Abstract

Exact coherent states for the time-dependent harmonic oscillator are constructed. These new coherent states have most, but not all, of the properties of the coherent states for the time-independent oscillator. For example, these coherent states give the exact classical motion, but they are not minimum-uncertainty states.

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What this paper is about

Exact coherent states for the time-dependent harmonic oscillator are constructed. These new coherent states have most, but not all, of the properties of the coherent states for the time-independent oscillator. For example, these coherent states give the exact classical motion, but they are not minimum-uncertainty states.

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OpenAlex reports 130 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Exact coherent states for the time-dependent harmonic oscillator are constructed. These new coherent states have most, but not all, of the properties of the coherent states for the time-independent oscillator. For example, these coherent states give the exact classical motion, but they are not minimum-uncertainty states.

Key concepts: Coherent states, Harmonic oscillator, Physics, Quantum mechanics, Coherent states in mathematical physics, Squeezed coherent state, Anharmonicity, Harmonic

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