On the ascent of infinite dimensional Hamiltonian operators  

作　　者：吴德玉 陈阿拉坦仓 

机构地区：[1]School of Mathematical Sciences, Inner Mongolia University [2]Hohhot University for Nationalities

出　　处：《Chinese Physics B》2015年第8期421-425,共5页中国物理B（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant Nos.11101200 and 11371185);the Natural Science Foundation of Inner Mongolia Autonomous Region,China(Grant No.2013ZD01)

摘　　要：In this paper, the ascent of 2 × 2 infinite dimensional Hamiltonian operators and a class of 4 × 4 infinite dimensional Hamiltonian operators are studied, and the conditions under which the ascent of 2 × 2 infinite dimensional Hamiltonian operator is 1 and the ascent of a class of 4 × 4 infinite dimensional Hamiltonian operators that arises in study of elasticity is2 are obtained. Concrete examples are given to illustrate the effectiveness of criterions.In this paper, the ascent of 2 × 2 infinite dimensional Hamiltonian operators and a class of 4 × 4 infinite dimensional Hamiltonian operators are studied, and the conditions under which the ascent of 2 × 2 infinite dimensional Hamiltonian operator is 1 and the ascent of a class of 4 × 4 infinite dimensional Hamiltonian operators that arises in study of elasticity is2 are obtained. Concrete examples are given to illustrate the effectiveness of criterions.

关 键 词：root vector COMPLETENESS infinite dimensional Hamiltonian operator ASCENT 

分 类 号：O177[理学—数学]