摘要
Dirac方程是量子力学的基本方程,讨论Dirac算式的自伴域在数学物理中有很广泛的应用。本文利用辛几何的理论来描述Dirac算式在区间[a,b]上的自伴域,得到Dirac算子自伴域的完全刻划。
Dirac equation is one of the fundamental equations of Quantum Mechanics. One dimensional regular Dirac operator' s self-adjoint domains is described in this paper by using the characterization of complete Lagrangian manifolds and the existent conclusion that the complete Lagrangian manifolds are corresponding to the self-adjoint extensions.
出处
《江苏科技大学学报(自然科学版)》
CAS
北大核心
2006年第2期37-41,共5页
Journal of Jiangsu University of Science and Technology:Natural Science Edition
关键词
DIRAC算子
自伴延拓
辛内积
Dirac operator
self-adjoint extension
symplectic-inner product