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Lower Spectral Branches of a Particle Coupled to a Bose Field | | Nicolae Angelescu
; Robert Minlos
; Valentin Zagrebnov
; | | Date: |
3 May 2005 | | Subject: | Mathematical Physics | math-ph math.MP | | Affiliation: | CPT | | Abstract: | The structure of the lower part (i.e. $epsilon $-away below the two-boson threshold) spectrum of Fröhlich’s polaron Hamiltonian in the weak coupling regime is obtained in spatial dimension $dgeq 3$. It contains a single polaron branch defined for total momentum $pin G^{(0)} $, where $G^{(0)}subset {mathbb R}^d$ is a bounded domain, and, for any $pin {mathbb R}^d$, a manifold of polaron + one-boson states with boson momentum $q$ in a bounded domain depending on $p$. The polaron becomes unstable and dissolves into the one boson manifold at the boundary of $G^{(0)}$. The dispersion laws and generalized eigenfunctions are calculated. | | Source: | arXiv, math-ph/0505009 | | Other source: | [GID 367303] math-ph/0505009 | | Services: | Forum | Review | PDF | Favorites | |
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