Quantum Thermodynamics of Non-Ideal Gases

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dc.creatorCoutant, Antonin
dc.creatorRajeev, S. G.
dc.date2008-07-29
dc.date.accessioned2026-07-07T09:53:30Z
dc.date.available2026-07-07T09:53:30Z
dc.descriptionWe show that when the thermal wavelength is comparable to the spatial size of a system, thermodynamic observables like Pressure and Volume have quantum fluctuations that cannot be ignored. They are now represented by operators; conventional (classical) thermodynamics is no longer applicable. We continue the work in earlier papers where quantization rules for thermodynamics were developed by analogy with optics and mechanics, by working out explicitly the quantum theory of van der Waals gases. We find a wave equation satisfied by the thermodynamic wave function as well as solutions ({\em coherent states}) that are centered at the classical equations of state. The probability of departure from the classical theory is dependent on a parameter $σ$ which is a property of the gas molecule.
dc.identifierhttps://arxiv.org/abs/0807.4632
dc.identifierhttp://arxiv.org/abs/0807.4632
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165974
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleQuantum Thermodynamics of Non-Ideal Gases
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