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Excitonic Hamiltonians for Calculating Optical Absorption Spectra and Optoelectronic Properties of Molecular Aggregates and Solids

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Kaniadakis Entropy Leads to Particle-Hole Symmetric Distribution.

Tamás S Biró^1,2,3

¹Wigner Research Cenrer for Physics, H-1121 Budapest, Hungary.

Entropy (Basel, Switzerland)

|September 23, 2022

Summary

This summary is machine-generated.

This study explores generalized exponentials and their connection to generalized entropy, ensuring compatibility with particle-hole symmetry crucial for thermal field theory. Kaniadakis

Keywords:

KMS relation Kaniadakis entropy Tsallis distribution kappa statistics

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Area of Science:

Theoretical Physics
Statistical Mechanics
Quantum Field Theory

Background:

Generalized entropies offer potential statistical generalizations of Boltzmann's formula.
Particle-hole (KMS) symmetry is fundamental in field theory and must be considered in such generalizations.
The inverse functions of generalized exponentials are central to generalized entropy formulations.

Purpose of the Study:

To investigate generalized exponentials and their relationship with generalized entropy formulas.
To assess the compatibility of generalized entropy approaches with particle-hole (KMS) symmetry.
To explore potential further generalizations of existing frameworks.

Main Methods:

Analysis of generalized exponentials and their inverse functions.
Examination of the properties of generalized entropy formulas with respect to KMS symmetry.
Demonstration of Kaniadakis' approach's KMS readiness.

Main Results:

Generalized exponentials' inverse functions are key to generalized entropy formulas.
Kaniadakis' approach to generalized entropy is compatible with particle-hole (KMS) symmetry.
The study provides a foundation for further theoretical advancements.

Conclusions:

Kaniadakis' generalized entropy approach is suitable for thermal field theory due to its KMS readiness.
The framework discussed allows for further exploration and development in statistical generalizations.
This work bridges generalized entropy, particle-hole symmetry, and thermal field theory.