板几何中一类具周期边界条件的迁移算子的谱分布  

The Spectral Distribution of a Transport Operator with Periodic Boundary Conditions in Slab Geometry

作　　者：张传美[1] 吴红星[2] 

机构地区：[1]南昌大学数学系 [2]上饶师范学院

出　　处：《上饶师范学院学报》2008年第6期19-23,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：本文讨论了板几何中一类具各向异性、连续能量、介质均匀带周期边界条件的中子迁移算子的谱,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 this paper is to discuss the spectrum of transport operator for anisotropic, continuous energy and homogeneous with periodic boundary conditions in slab geometry. It obtains that the transport operator A has no complex eigenvalue, and the spectrum of the transport operator A consists of finite real isolated eigenvalue which have a finite algebraic multiplicity in trip Pss （A）.

关 键 词：迁移算子 正定算子 周期边界条件 复本征值 实离散本征值 

分 类 号：O177.2[理学—数学]