DOAJ Open Access 2023

Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches

Ervin Kaminski Lenzi Luiz Roberto Evangelista Luciano Rodrigues da Silva

Abstrak

We investigated two different approaches, which can be used to extend the standard quantum statistical mechanics. One is based on fractional calculus, and the other considers the extension of the concept of entropy, i.e., the Tsallis statistics. We reviewed and discussed some of the main properties of these approaches and used the thermal Green function formalism to perform the developments, simultaneously allowing us to analyze each case’s dynamics and thermodynamics aspects. In particular, the results allow us to understand how the extensions change the behavior of some quantities, particularly fluctuations related to the system.

Topik & Kata Kunci

Mathematics

Penulis (3)

Ervin Kaminski Lenzi

Luiz Roberto Evangelista

Luciano Rodrigues da Silva

Format Sitasi

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Lenzi, E.K., Evangelista, L.R., Silva, L.R.d. (2023). Aspects of Quantum Statistical Mechanics: Fractional and Tsallis Approaches. https://doi.org/10.3390/math11122777

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Informasi Jurnal

Tahun Terbit: 2023
Sumber Database: DOAJ
DOI: 10.3390/math11122777
Akses: Open Access ✓