Quantum-classical transition, Bose-Einstein condensation, and superfluidity are explained by real particle trajectories plus occupation entropy from multiply occupied momentum states.
Quantum Statistical Mechanics in Classical Phase Space. Expressions for the Multi-Particle Density, the Average Energy, and the Virial Pressure
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abstract
Quantum statistical mechanics is formulated as an integral over classical phase space. Some details of the commutation function for averages are discussed, as is the factorization of the symmetrization function used for the grand potential and for the multi-particle density. Three binary choices (eight routes) for the average energy are shown to be mutually consistent. An expression for the phase space function that gives the average virial pressure is derived.
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Ten Equations that Shook the Quantum World: Bose-Einstein Condensation, Superfluidity, and the Quantum-Classical Transition
Quantum-classical transition, Bose-Einstein condensation, and superfluidity are explained by real particle trajectories plus occupation entropy from multiply occupied momentum states.