Submitting Campus

Daytona Beach

Department

Mathematics

Document Type

Article

Publication/Presentation Date

2016

Abstract/Description

The main purpose of this paper is to extend some theory of Schrödinger operators from one dimension to higher dimension. In particular, we will give systematic operator theoretic analysis for the Schrödinger equations in multidimensional space. To this end, we will provide the detail proves of some basic results that are necessary for further studies in these areas. In addition, we will introduce Titchmarsh- Weyl m− function of these equations and express m− function in term of the resolvent operators.

Publication Title

The Nepali Mathematical Sciences Report

DOI

https://doi.org/10.3126/nmsr.v34i1-2.29980

Publisher

Central Department of Mathematics, Institute of Science and Technology, Tribhuvan University

Included in

Analysis Commons

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