On the ascent of infinite dimensional Hamiltonian operators

doi:10.1088/1674-1056/24/8/084601

Abstract 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 is 2 are obtained. Concrete examples are given to illustrate the effectiveness of criterions.

Keywords: root vector completeness infinite dimensional Hamiltonian operator ascent

Received: 21 November 2014
Revised: 02 February 2015
Accepted manuscript online:

PACS:	46.25.-y	(Static elasticity)
	02.30.Jr	(Partial differential equations)

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

Corresponding Authors: Wu De-Yu, Chen Alatancang
E-mail: wudeyu2585@163.com; alatanca@imu.edu.cn

Cite this article:

Wu De-Yu (吴德玉), Chen Alatancang (陈阿拉坦仓) On the ascent of infinite dimensional Hamiltonian operators 2015 Chin. Phys. B 24 084601

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