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arXiv · 1805.11282

Proof of quantum mechanical H-theorem beyond binary collisions in quantum gases

Bandita Das·Shyamal Biswas
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Abstract

We have proved the quantum mechanical H-theorem for dilute Bose and Fermi gases by generalizing the quantum statistical Boltzmann equation for all possible many-body elastic collisions among the particles in the quantum gases within the Lippmann-Schwinger formalism. Previous study by Pauli did almost the same only for binary elastic collisions. We are considering all possible many-body elastic collisions for the current study. Our proof offers a better understanding to the foundation of the second law of thermodynamics for quantum gases.

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Bandita Das, Shyamal Biswas. 2018-05-29. Proof of quantum mechanical H-theorem beyond binary collisions in quantum gases. https://doi.org/10.1088/1742-5468/aae029

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