Saved in:
| Main Author: | |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.09877 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866912144810835968 |
|---|---|
| author | Akhanjee, Shimul |
| author_facet | Akhanjee, Shimul |
| contents | A new quantum mechanical distribution function $n^I(\varepsilon)$, is derived for the condition $n \ge g$, where in contrast to the exclusion principle $n \le g$ for fermions, each energy state must be populated by at least one particle. Although the particles share many features with bosons, the anomalous behavior of $n^I(\varepsilon)$ precludes Bose-Einstein condensation (BEC) due to the required occupancy of the excited states, which creates a permanently pressurized background at $T=0$, similar to the degeneracy pressure of fermions. An exhaustive classification scheme is presented for both distinguishable and indistinguishable, particles and energy levels based on Richard Stanley's twelvefold way in combinatorics. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_09877 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Distribution Function for $n \ge g$ Quantum Particles Akhanjee, Shimul Quantum Gases Statistical Mechanics Quantum Physics A new quantum mechanical distribution function $n^I(\varepsilon)$, is derived for the condition $n \ge g$, where in contrast to the exclusion principle $n \le g$ for fermions, each energy state must be populated by at least one particle. Although the particles share many features with bosons, the anomalous behavior of $n^I(\varepsilon)$ precludes Bose-Einstein condensation (BEC) due to the required occupancy of the excited states, which creates a permanently pressurized background at $T=0$, similar to the degeneracy pressure of fermions. An exhaustive classification scheme is presented for both distinguishable and indistinguishable, particles and energy levels based on Richard Stanley's twelvefold way in combinatorics. |
| title | Distribution Function for $n \ge g$ Quantum Particles |
| topic | Quantum Gases Statistical Mechanics Quantum Physics |
| url | https://arxiv.org/abs/2411.09877 |