一类具完全反射边界条件的迁移算子的谱分布  

The Spectral Distribution of Transport Operator with Perfect Reflecting Boundary Condition

作　　者：吴红星[1] 袁邓彬[1] 

机构地区：[1]上饶师范学院

出　　处：《上饶师范学院学报》2010年第3期5-8,共4页Journal of Shangrao Normal University

基　　金：上饶师范学院科技项目资助课题

摘　　要：本文在L2空间中研究了板几何中一类具各向异性、连续能量、均匀介质具完全反射边界条件的迁移方程,通过证明自伴算子的紧性,得出了该迁移算子A在带域Pas(A)中无复本征值和由有限个具有限代数重数的实离散本征值组成等结果。The objective of this paper is to research transport equations with anisotropic continuous energy iomogeneous slab geometry for perfect reflecting boundary condition in L2 space.By proving the compactness of selfadjoint operator,it is to obtain that transport operator A has no complex eigenvalues,and the spectrum of transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiplicity in trip Pas（A）.

关 键 词：迁移算子 完全反射边界条件 紧性 复本征值 实离散本征值 

分 类 号：O177.2[理学—数学]