|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'504'928
Articles rated: 2609
26 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
Fermionic Meixner probability distributions, Lie algebras and quadratic Hamiltonians | | L. Accardi
; I.Ya. Aref'eva
; I.V. Volovich
; | | Date: |
17 Nov 2014 | | Abstract: | We introduce the quadratic Fermi algebra, which is a Lie algebra, and show
that the vacuum distributions of the associated Hamiltonians define the
fermionic Meixner probability distributions. In order to emphasize the
difference with the Bose case, we apply a modification of the method used in
the above calculation to obtain a simple and straightforward classification of
the 1--dimensional Meixner laws in terms of homogeneous quadratic expressions
in the Bose creation and annihilation operators. There is a huge literature of
the Meixner laws but this, purely quantum probabilistic, derivation seems to be
new. Finally we briefly discuss the possible multi-dimensional extensions of
the above results. | | Source: | arXiv, 1411.4607 | | Services: | Forum | Review | PDF | Favorites | |
|
|
No review found.
Did you like this article?
Note: answers to reviews or questions about the article must be posted in the forum section.
Authors are not allowed to review their own article. They can use the forum section.
browser Mozilla/5.0 AppleWebKit/537.36 (KHTML, like Gecko; compatible; ClaudeBot/1.0; +claudebot@anthropic.com)
|
| |
|
|
|
|
News, job offers and information for researchers and scientists:
| |
REGISTER