Exploring a modified quantum dynamics based on Tsallis' distribution
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 β → i t to the Tsallis-deformed Boltzmann factor. We obtain a new time-dependent q -deformed Schrödinger 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.
Authors
- Won Sang Chung (ORCID: https://orcid.org/0000-0002-1358-6384)
- L. M. Nieto (ORCID: https://orcid.org/0000-0002-2849-2647)
- H. Hassanabadi (ORCID: https://orcid.org/0000-0001-7487-6898)
- Georg Junker (ORCID: https://orcid.org/0000-0003-2054-0453)
Institutions
- Universidad de Valladolid (ES)
- European Southern Observatory (DE)
- Friedrich-Alexander-Universität Erlangen-Nürnberg (DE)
- Gyeongsang National University (KR)
Publication Details
- Journal
- Physics Letters A
- Published
- 2025-10-08
- DOI
- https://doi.org/10.1016/j.physleta.2025.131051
- Primary Topic
- Statistical Mechanics and Entropy
- Type
- article
- Field-Weighted Citation Impact
- 0.00