On the ascent of infinite dimensional Hamiltonian operators

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

中国物理B ›› 2015, Vol. 24 ›› Issue (8): 84601-084601.doi: 10.1088/1674-1056/24/8/084601

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

On the ascent of infinite dimensional Hamiltonian operators

吴德玉^a, 陈阿拉坦仓^b

a School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;
b Hohhot University for Nationalities, Hohhot 010050, China

收稿日期:2014-11-21 修回日期:2015-02-02 出版日期:2015-08-05 发布日期:2015-08-05
基金资助:
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).

On the ascent of infinite dimensional Hamiltonian operators

Wu De-Yu (吴德玉)^a, Chen Alatancang (陈阿拉坦仓)^b

a School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, China;
b Hohhot University for Nationalities, Hohhot 010050, China

Received:2014-11-21 Revised:2015-02-02 Online:2015-08-05 Published:2015-08-05
Contact: Wu De-Yu, Chen Alatancang E-mail:wudeyu2585@163.com; alatanca@imu.edu.cn
Supported by:
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).

摘要/Abstract

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

关键词: root vector, completeness, infinite dimensional Hamiltonian operator, ascent

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.

Key words: root vector, completeness, infinite dimensional Hamiltonian operator, ascent

中图分类号: (Static elasticity)

46.25.-y

02.30.Jr (Partial differential equations)

吴德玉, 陈阿拉坦仓. On the ascent of infinite dimensional Hamiltonian operators[J]. 中国物理B, 2015, 24(8): 84601-084601.

Wu De-Yu (吴德玉), Chen Alatancang (陈阿拉坦仓). On the ascent of infinite dimensional Hamiltonian operators[J]. Chin. Phys. B, 2015, 24(8): 84601-084601.

参考文献 14

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On the ascent of infinite dimensional Hamiltonian operators

On the ascent of infinite dimensional Hamiltonian operators

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