Completeness of the System of Root Vectors of 2×2 Upper Triangular Infinite-Dimensional Hamiltonian Operators in Symplectic Spaces and Applications  

作　　者：ALATANCANG 

机构地区：[1]School of Mathematical Sciences,Inner Mongolia University

出　　处：《Chinese Annals of Mathematics,Series B》2011年第6期917-928,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (Nos. 10962004, 11061019);the Specialized Research Fund for the Doctoral Program of Higher Education of China (No. 20070126002);the Chunhui Program of the Ministry of Education of China (No. Z2009-1-01010);the Natural Science Foundation of Inner Mongolia (Nos. 2009BS0101, 2010MS0110)

摘　　要：The authors investigate the completeness of the system of eigen or root vectors of the 2×2 upper triangular infinite-dimensional Hamiltonian operator H 0.First,the geometrical multiplicity and the algebraic index of the eigenvalue of H0 are considered.Next,some necessary and sufficient conditions for the completeness of the system of eigen or root vectors of H0 are obtained.Finally,the obtained results are tested in several examples.

关 键 词：2 × 2 upper triangular infinite-dimensional Hamiltonian operator Eigenvector Root vector COMPLETENESS 

分 类 号：O177[理学—数学]