Derivation of density operators for generalized entropies with quantum analysis

Masamichi Ishihara

Physica A: Statistical Mechanics and its Applications, 2020, vol. 543, issue C

Abstract: We gave a simple derivation of density operator with the quantum analysis. We treated the functional of a density operator, and applied the maximum entropy principle. We obtained easily the density operators for the Tsallis entropy and the Rényi 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.

Keywords: Quantum analysis; Density operator; Tsallis entropy; Rényi entropy; Boltzmann–Gibbs entropy; Burg entropy (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:543:y:2020:i:c:s0378437119319090

DOI: 10.1016/j.physa.2019.123419

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