摘要
对于哈密顿体系的偏微分方程分离变量,导致哈密顿型微分方程及本征值问题.再导向哈密顿核的积分方程.证明了其本征向量的共轭辛正交归一关系.采用层叠核与积分方程泛函取最大值的变分原理,给出了辛本征向量展开式,并证明其完备性定理.
Separation of variable method is applied to Hamilton system, which derives to the eigenproblem of Hamilton differential equations. Then it is derived to the corresponding integral equation of Hamilton kernel. The symplectic orthonormality relationship is shown for the eigensolutions. Both the minimization variational principle of the integral equation and the compactness of the iterated kernel are applied to proving the completeness of the eigensolutions.
出处
《大连理工大学学报》
CAS
CSCD
北大核心
2003年第1期1-11,共11页
Journal of Dalian University of Technology
