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.
The Nepali Mathematical Sciences Report
Central Department of Mathematics, Institute of Science and Technology, Tribhuvan University
Scholarly Commons Citation
Acharya, K. R. (2016). A Note on Vector Valued Discrete Schrödinger Operators. The Nepali Mathematical Sciences Report, 34(1-2). https://doi.org/10.3126/nmsr.v34i1-2.29980