On the $q$-Laplace transform in the non-extensive statistical physics
Won Sang Chung
TL;DR
This paper explores the properties of the q-Laplace transform within non-extensive thermodynamics, applying it to solve a deformed simple harmonic oscillator problem using non-extensive calculus.
Contribution
It introduces the q-Laplace transform in the context of non-extensive thermodynamics and demonstrates its application to a deformed harmonic oscillator.
Findings
q-Laplace transform properties are characterized.
Application to a deformed harmonic oscillator problem.
Insights into non-extensive calculus operations.
Abstract
In this paper, q-Laplace transforms related to the non-extensive thermodynamics are investigated by using the algebraic operation of the non-extensive calculus. The deformed simple harmonic problem is discussed by using the q-Laplace transform.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStatistical Mechanics and Entropy · Advanced Mathematical Theories and Applications · Statistical and numerical algorithms