A new time-dependent quantum theory based on Tsallis' distribution

Won Sang Chung; Georg Junker; Luis M. Nieto; Hassan Hassanabadi

A new time-dependent quantum theory based on Tsallis' distribution

Quantum Physics 2025-05-09 v1 Mathematical Physics math.MP

Authors: Won Sang Chung , Georg Junker , Luis M. Nieto , Hassan Hassanabadi

Abstract

In this paper, inspired by Tsallis' probability distribution based on a $q$ -deformed Boltzmann factor, we stipulate a new $q$ -deformed quantum dynamics by applying the inverse Wick rotation $\beta \rightarrow i t$ to the Tsallis-deformed Boltzmann factor. We obtain a new time-dependent $q$ -deformed Schr\"odinger equation. The free time-evolution of a Gaussian wave packet and that induced by an harmonic interaction are studied within this $q$ -deformed quantum mechanical framework.

Keywords

tsallis entropy relativistic quantum mechanics quantum mechanics

Cite

@article{arxiv.2505.05419,
  title  = {A new time-dependent quantum theory based on Tsallis' distribution},
  author = {Won Sang Chung and Georg Junker and Luis M. Nieto and Hassan Hassanabadi},
  journal= {arXiv preprint arXiv:2505.05419},
  year   = {2025}
}

Comments

11 pages, 3 figures

A new time-dependent quantum theory based on Tsallis' distribution

Abstract

Keywords

Cite

Comments

Related papers