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arXiv · 2505.05419

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

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

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Won Sang Chung, Georg Junker, Luis M. Nieto, Hassan Hassanabadi. 2025-05-08. A new time-dependent quantum theory based on Tsallis' distribution. https://arxiv.org/abs/2505.05419

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