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This article is cited in 20 scientific papers (total in 20 papers)
Averaging the operators for a large number of clusters: Phase transitions
V. P. Maslov M. V. Lomonosov Moscow State University, Faculty of Physics
Abstract:
We develop the theory of averaging the operators in a Fock space, introduced in our previous papers. We find the algebra of mean operators. We introduce the quantum entropy and quantum free energy using the function $f(z)=z\ln(z)$ of the mean unit operator (the “measure” of mean operators). Such a “quantum thermodynamics” determines the temperature dependence of the critical speed (“the Landau criterion”) and the temperature distribution at which the speed of a superfluid system is nonzero even at zero temperature. We generalize the consideration to the case where sparsely distributed bosons form clusters.
Received: 20.07.2000
Citation:
V. P. Maslov, “Averaging the operators for a large number of clusters: Phase transitions”, TMF, 125:2 (2000), 297–314; Theoret. and Math. Phys., 125:2 (2000), 1552–1567
Linking options:
https://www.mathnet.ru/eng/tmf670https://doi.org/10.4213/tmf670 https://www.mathnet.ru/eng/tmf/v125/i2/p297
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Abstract page: | 549 | Full-text PDF : | 213 | References: | 77 | First page: | 5 |
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