粒子与玻色场耦合的下谱分支
Lower Spectral Branches of a Particle Coupled to a Bose Field
摘要：
在空间维度$d\geq 3$上，得到了弱耦合区Fröhlich极化子哈密顿量的下半部分（即$ε$ -远离两玻色子阈值）谱的结构.它包含一个单极化子分支定义的总动量$p\in G^{(0)} $，其中$G^{(0)}\subset {\mathbb R}^d$是一个有界域，并为任何$p\in {\mathbb R}^d$，一个流形的极化子+一玻色子态与玻色子动量$q$在一个有界域取决于$p$。极化子在$G^{(0)}$边界处变得不稳定并溶解到单玻色子流形中。计算了色散律和广义本征函数。
英文摘要：
The structure of the lower part (i.e. $ε$-away below the two-boson threshold) spectrum of Fröhlich's polaron Hamiltonian in the weak coupling regime is obtained in spatial dimension $d\geq 3$. It contains a single polaron branch defined for total momentum $p\in G^{(0)} $, where $G^{(0)}\subset {\mathbb R}^d$ is a bounded domain, and, for any $p\in {\mathbb R}^d$, 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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
