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arXiv · 1808.02812

Density matrix for a consistent non-extensive thermodynamics

Marcelo R. Ubriaco
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Abstract

Starting with the average particle distribution function for bosons and fermions for non-extensive thermodynamics , as proposed in \cite{CMP}, we obtain the corresponding density matrix operators and hamiltonians. In particular, for the bosonic case the corresponding operators satisfy a deformed bosonic algebra and the hamiltonian involves interacting terms in powers of $a^{\dagger}_ja_j$ standard creation and annihilation operators. For the unnormalized density matrix we obtain a nonlinear equation that leads to a two-parameter solution relevant to anomalous diffusion phenomena.

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Marcelo R. Ubriaco. 2018-08-08. Density matrix for a consistent non-extensive thermodynamics. https://doi.org/10.1016/j.physa.2018.08.145

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