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arXiv · 1904.03363

Derivation of density operators for generalized entropies with quantum analysis

Masamichi Ishihara
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Abstract

We gave a simple derivation of density operator with the quantum analysis. We dealt with the functional of a density operator, and applied maximum entropy principle. We obtained easily the density operators for the Tsallis entropy and R\'enyi entropy with the $q$-expectation value (escort average), and also obtained easily the density operators for the Boltzmann-Gibbs entropy and the Burg entropy with the conventional expectation value. The quantum analysis works effectively in the calculation of the variation of the functional which includes trace.

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Masamichi Ishihara. 2019-04-06. Derivation of density operators for generalized entropies with quantum analysis. https://doi.org/10.1016/j.physa.2019.123419

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