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Exploring a modified quantum dynamics based on Tsallis' distribution

Year: 2025
Type: article
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 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.
Language: English
Open Access status: hybrid
Estimated APC paid: $2,150
OpenAlex ID: W4414952665
FWCI:
Cites: 22
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