Classical and quantum statistical mechanics in a common Liouville space

S. Twareque Ali and E. Prugovečki

Physica A: Statistical Mechanics and its Applications, 1977, vol. 89, issue 3, 501-521

Abstract: It is shown that the extremal phase-space representations of quantum mechanics can be expressed in terms of wave-functions on L2-spaces which are embedded in L2(Γ). In L2(Γ) all these representations are restrictions of a globally defined representation of the canonical commutation relations. The master Liouville space B2(Γ) over L2(Γ) can accommodate representations of both classical and quantum statistical mechanics, and serves as a medium for their comparison. As a specific example, a Boltzmann-type equation on B2(Γ) is considered in the classical as well as quantum context.

Date: 1977
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:89:y:1977:i:3:p:501-521

DOI: 10.1016/0378-4371(77)90078-4

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