Quantum mechanics in the gaussian wave-packet phase space representation III: From phase space probability functions to wave-functions

S.S. Mizrahi

Physica A: Statistical Mechanics and its Applications, 1988, vol. 150, issue 3, 541-554

Abstract: Using a mapping formalism, the Wave-Packet Phase Space Representation, we show that for phase space probability distributions that do not violate the Uncertainty Principle one can associate a density matrix, ϱ(x, x'), when some conditions are fulfilled. Furthermore if condition Tr ∧ϱ2 = 1 is satisfied it becomes possible to find a wave function associated to the probability distribution.

Date: 1988
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:150:y:1988:i:3:p:541-554

DOI: 10.1016/0378-4371(88)90254-3

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