Abstract
The notion of wave function of the classical harmonic oscillator is discussed. The evolution equation for this wave function is obtained using the classical Liouville equation for the probability-distribution function of the harmonic oscillator. The tomographic-probability distribution of the classical oscillator is studied. Examples of the ground-like state and the coherent state of the classical harmonic oscillator are considered.
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Chernega, V.N., Man’ko, V.I. Wave function of the harmonic oscillator in classical statistical mechanics. J Russ Laser Res 28, 535–547 (2007). https://doi.org/10.1007/s10946-007-0041-4
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DOI: https://doi.org/10.1007/s10946-007-0041-4