Wave function of classical particle in linear potential

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 fun...

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Veröffentlicht in:Journal of Russian laser research 2013-05, Vol.34 (3), p.239-246
Hauptverfasser: Avanesov, Ashot S., Man’ko, Vladimir I.
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:1071-2836
1573-8760
DOI:10.1007/s10946-013-9347-6