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Wave function of the harmonic oscillator in classical statistical mechanics |
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| Authors: | Vladimir N Chernega Vladimir I Man’ko |
| Institution: | (1) Faculty of Physics, M.V. Lomonosov Moscow State University, Vorob’evy Gory, Moscow, 119992, Russia;(2) P.N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect, 53, Moscow, 119991, Russia |
| 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. |
| Keywords: | classical mechanics harmonic oscillator probability wave function tomography coherent state Radon transform |
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