板几何中一类具连续能量的迁移算子的谱分析  

The Spectral Analysis of Transport Operator with Continuous Energy in Slab Geometry

作　　者：吴红星[1] 

机构地区：[1]上饶师范学院

出　　处：《上饶师范学院学报》2008年第3期12-15,36,共5页Journal of Shangrao Normal University

基　　金：江西省自然科学基金资助课题(2007GZS0105)

摘　　要：本文研究了板几何中一类具各向异性、连续能量、均匀介质的迁移算子的谱,得出了该算子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 tiffs paper is to research the spectrum of transport operator with anisotropic, continuous energy and homogeneous in slab geometry. It obtains that the transport operator A has no complex eigenvalues, and the spectrum of the transport operator A consists of finite real isolated eigenvalues which have a finite algebraic multiphcity in trip Pas （ A）.

关 键 词：迁移算子 正定算子 紧算子 复本征值 实离散本征值 

分 类 号：O177.2[理学—数学]