|
| | | | |
| | | |
| Stat |
Members: 3645
Articles: 2'501'711
Articles rated: 2609
19 April 2024 |
|
| | | | |
|
Article overview
| |
|
|
The Many-Electron System in the Forward, Exchange and BCS Approximation | | Detlef Lehmann
; | | Date: |
8 Mar 1997 | | Journal: | Commun.Math.Phys. 198 (1998) 427-468 | | Subject: | Superconductivity; Statistical Mechanics; Exactly Solvable and Integrable Systems | cond-mat.supr-con cond-mat.stat-mech hep-th nlin.SI solv-int | | Affiliation: | UBC, Vancouver | | Abstract: | The nonrelativistic many-electron system in the forward, exchange and BCS approximation is considered. In this approximation, which is still quartic in the annihilation and creation operators, the model is explicitly solvable for arbitrary space dimension d. The partition function and the correlation functions are given by finite-dimensional integral representations. Renormalization effects as well as symmetry breaking can be seen explicitly. It is shown that the usual mean field approach, based on approximating the Hamiltonian by a quadratic expression, may be misleading if the electron-electron interaction contains higher angular momentum terms and the space dimension is d=3. The perturbation theory of the solvable model is discussed. There are cases where the logarithm of the partition function has positive radius of convergence but the sum of all connected diagrams has radius of convergence zero implying that the linked cluster theorem is not applicable in these cases. | | Source: | arXiv, cond-mat/9703079 | | 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