Gibbs State Uniqueness for Anharmonic Quantum Crystal with a Nonpolynomial Double-Well Potential
| dc.creator | Rebenko, Alexei L. | |
| dc.creator | Zagrebnov, Valentin A. | |
| dc.date | 2004-06-10 | |
| dc.date.accessioned | 2026-07-07T04:31:14Z | |
| dc.date.available | 2026-07-07T04:31:14Z | |
| dc.description | We construct the Gibbs state for $ν$-dimensional quantum crystal with site displacements from $\R^d$, $d\geq 1$, and with a one-site \textit{non-polynomial} double-well potential, which has \textit{harmonic} asymptotic growth at infinity. We prove the uniqueness of the corresponding {\it Euclidean Gibbs measure} (EGM) in the \textit{light-mass regime} for the crystal particles. The corresponding state is constructed via a cluster expansion technique for an arbitrary temperature $T\geq 0$. We show that for all $T\geq 0$ the Gibbs state (correlation functions) is analytic with respect to external field conjugated to displacements provided that the mass of particles $m$ is less than a certain value $m_* >0$. The high temperature regime is also discussed. | |
| dc.description | 45 pages | |
| dc.identifier | https://arxiv.org/abs/math-ph/0406018 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0406018 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/57743 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 60H30, 82B31 | |
| dc.title | Gibbs State Uniqueness for Anharmonic Quantum Crystal with a Nonpolynomial Double-Well Potential | |
| dc.type | text |