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On the surface contribution to the grand-canonical pressure of free quantum gases

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Abstract

The surface term in the thermodynamic pressure of free quantum gases is proved to exist and is evaluated. Detailed proofs are given for parallelepipedic domains with Dirichlet, periodic, and Neumann boundary conditions and for more general domains with Dirichlet boundary conditions.

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Nenciu, G. On the surface contribution to the grand-canonical pressure of free quantum gases. J Stat Phys 7, 119–130 (1973). https://doi.org/10.1007/BF01024210

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