完备次黎曼流形上Schrödinger算子的自伴性  

The Self-Adjiontness of the Schrödinger Operator on Complete Sub-Riemannian Manifolds

作　　者：陶一涞 

机构地区：[1]浙江师范大学,数学与计算机科学学院,浙江 金华

出　　处：《应用数学进展》2022年第10期7201-7208,共8页Advances in Applied Mathematics

摘　　要：本文研究次黎曼流形上的Schrödinger算子在无界区域内的性质,并得到在完备的次黎曼流形上下有界的该算子必定是本质自伴的。This paper studies the properties of the Schrödinger operator on sub-Riemannian manifolds in the unbounded domain. It is further studied that the semibounded operator must be essentially self-adjoint on complete sub-Riemannian manifolds.

关 键 词：次黎曼流形 SchrO¨dinger算子 下有界 本质自伴 

分 类 号：O177[理学—数学]