Abstract
We study the problem of classical particle in linear potential using the formalism of Hilbert space and tomographic-probability distribution. We solve the Liouville equation for this problem by finding the density matrix satisfying a von Newmann-like equation in the form of a product of the wave functions. We discuss the relation of the classical solution obtained to quantum mechanics.
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Manuscript submitted by the authors in English on March 30, 2013.
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Avanesov, A.S., Man’ko, V.I. Wave function of classical particle in linear potential. J Russ Laser Res 34, 239–246 (2013). https://doi.org/10.1007/s10946-013-9347-6
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DOI: https://doi.org/10.1007/s10946-013-9347-6