An anisotropic integral operator in high temperature superconductivity
| dc.creator | Mityagin, Boris | |
| dc.date | 2008-03-21 | |
| dc.date.accessioned | 2026-07-07T09:27:53Z | |
| dc.date.available | 2026-07-07T09:27:53Z | |
| dc.description | A simplified model in superconductivity theory studied by P. Krotkov and A. Chubukov \cite{KC1,KC2} led to an integral operator $K$ -- see (1), (2). They guessed that the equation $E_0(a,T)=1$ where $E_0$ is the largest eigenvalue of the operator $K$ has a solution $T(a)=1-τ(a)$ with $τ(a) \sim a^{2/5}$ when $a$ goes to 0. $τ(a)$ imitates the shift of critical (instability) temperature. We give a rigorous analysis of an anisotropic integral operator $K$ and prove the asymptotic ($*$) -- see Theorem 8 and Proposition 10. Additive Uncertainty Principle (of Landau-Pollack-Slepian [SP], \cite{LP1,LP2}) plays important role in this analysis. | |
| dc.identifier | https://arxiv.org/abs/0803.3159 | |
| dc.identifier | http://arxiv.org/abs/0803.3159 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157262 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.subject | 45C05, 35P05, 47B34 | |
| dc.title | An anisotropic integral operator in high temperature superconductivity | |
| dc.type | text |