A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas
Abstract
:1. Introduction
2. The Maxwell–Boltzmann and Jüttner Distribution Functions
2.1. Non-Relativistic Gas
2.2. Relativistic Gas
3. Generalized Uncertainty Principle, Partition and Distribution Functions
3.1. Maxwell–Boltzmann Statistics
3.2. Jüttner Statistics
4. Extended Uncertainty Principle, Partition and Distribution Functions
5. Conclusions
Author Contributions
Funding
Institutional Review Board Statement
Informed Consent Statement
Data Availability Statement
Conflicts of Interest
References
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HUP | GUP | EUP | |
---|---|---|---|
The volume of phase space element | 1 | ||
Density of States | |||
Single Partition Function |
HUP | GUP | EUP | |
---|---|---|---|
The volume of phase space element | 1 | ||
Density of States | |||
Single Partition Function | when |
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Moradpour, H.; Aghababaei, S.; Ziaie, A.H. A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas. Symmetry 2021, 13, 213. https://doi.org/10.3390/sym13020213
Moradpour H, Aghababaei S, Ziaie AH. A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas. Symmetry. 2021; 13(2):213. https://doi.org/10.3390/sym13020213
Chicago/Turabian StyleMoradpour, Hooman, Sarah Aghababaei, and Amir Hadi Ziaie. 2021. "A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas" Symmetry 13, no. 2: 213. https://doi.org/10.3390/sym13020213
APA StyleMoradpour, H., Aghababaei, S., & Ziaie, A. H. (2021). A Note on Effects of Generalized and Extended Uncertainty Principles on Jüttner Gas. Symmetry, 13(2), 213. https://doi.org/10.3390/sym13020213