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The Schrödinger operator
Authors:Tian Lixin  Liu Zengrong
Institution:Department of Mathematics and Physics, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212013, People's Republic of China ; Department of Mathematics, Suzhou University, Suzhou, Jiangsu, 215006, People's Republic of China
Abstract:In this paper we study the maximum dissipative extension of the Schrödinger operator, introduce the generalized indefinite metric space, obtain the representation of the maximum dissipative extension of the Schrödinger operator in the natural boundary space and make preparation for the further study of the longtime chaotic behavior of the infinite-dimensional dynamics system in the Schrödinger equation.

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