Generating function approach to quantum-to-classical correspondence I

Toshihiro Shimizu

Physica A: Statistical Mechanics and its Applications, 1993, vol. 195, issue 1, 101-112

Abstract: A method on the generating function, which produces time-evolution equations for moments of coordinate and momentum, is presented to study quantum-to-classical correspondence. A time-evolution equation for the quantal generating function is derived, which reduces to a classical one in the limit h̵ → 0. A quantal analogue of the classical distribution function is defined as the Fourier transform of the generating function. The quantal correction of the generating function is discussed. The relation between a stationary generating function and the energy eigenstates is discussed.

Date: 1993
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:195:y:1993:i:1:p:101-112

DOI: 10.1016/0378-4371(93)90256-4

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