A new time-dependent quantum theory based on Tsallis' distribution
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866909604966825984 |
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| author | Chung, Won Sang Junker, Georg Nieto, Luis M. Hassanabadi, Hassan |
| author_facet | Chung, Won Sang Junker, Georg Nieto, Luis M. Hassanabadi, Hassan |
| contents | 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\rightarrow 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_05419 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A new time-dependent quantum theory based on Tsallis' distribution Chung, Won Sang Junker, Georg Nieto, Luis M. Hassanabadi, Hassan Quantum Physics Mathematical Physics 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\rightarrow 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. |
| title | A new time-dependent quantum theory based on Tsallis' distribution |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2505.05419 |