The one-dimensional Schrödinger operator on bounded time scales

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• 作者：Hü ; seyin Tuna and Mehmet Afşin &Ouml ; zek
• 刊名：Mathematical Methods in the Applied Sciences
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：40
• 期：1
• 页码：78-83
• 全文大小：131K
• ISSN：1099-1476

文摘

In this paper, we consider the one-dimensional Schrödinger operator on bounded time scales. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self-adjoint, and other extensions of the dissipative Schrödinger operators in terms of boundary conditions. In particular, using Lidskii's theorem, we prove a theorem on completeness of the system of root vectors of the dissipative Schrödinger operators on bounded time scales. Copyright