Spectral Relations for a Matrix Model in Fermionic Fock Space
IF 0.5
Q3 MATHEMATICS
引用次数: 0
Abstract
A matrix model \(\mathcal{A}\) is considered related to a system describing two identical fermions and one particle of another nature on a lattice, interacting via annihilation and creation operators. The problem of the study of the spectrum of a block operator matrix \(\mathcal{A}\) is reduced to the investigation of the spectrum of block operator matrices of order three with a discrete variable, and the relations for the spectrum, essential spectrum, and point spectrum are established. Two-particle and three-particle branches of the essential spectrum of the block operator matrix \(\mathcal{A}\) are singled out.
费米子 Fock 空间矩阵模型的谱关系
摘要 矩阵模型（\(\mathcal{A}\）被认为与描述晶格上两个相同费米子和一个其他性质粒子的系统有关，它们通过湮灭和创造算子相互作用。块算子矩阵 \(\mathcal{A}\)谱的研究问题被简化为研究具有离散变量的三阶块算子矩阵的谱，并建立了谱、本质谱和点谱的关系。并指出了块算子矩阵 \(\mathcal{A}\)的本质谱的两粒子和三粒子分支。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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来源期刊
Russian Mathematics
MATHEMATICS-
CiteScore
0.90
自引率
25.00%
发文量
0
期刊介绍：
Russian Mathematics is a peer reviewed periodical that encompasses the most significant research in both pure and applied mathematics.
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