Derivation of density operators for generalized entropies with quantum analysis
arXiv:1904.03363 · doi:10.1016/j.physa.2019.123419
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 Rényi entropy with the -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.
8 pages
References in corpus (3)
- Time evolution of Renyi entropy under the Lindblad equation
- Momentum distribution and correlation for a free scalar field in the Tsallis nonextensive statistics based on density operator
- Chiral phase transition within the linear sigma model in the Tsallis nonextensive statistics based on density operator
Cited by in corpus (4)
- Chiral phase transition in the linear sigma model within Hartree factorization in the Tsallis nonextensive statistics
- Relation between the escort average in microcanonical ensemble and the escort average in canonical ensemble in the Tsallis statistics
- Poisson bracket operator
- Derivation of the density operator with quantum analysis for the generalized Gibbs ensemble in quantum statistics