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Exact Solution of T-Difference Radial Schrödinger Equation

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Abstract

In this paper, we get an exact discrete analog of the radial Schrödinger equation. We propose a difference equation that exactly corresponds to the standard radial Schrödinger equation. The suggested equation contains \({{{\mathcal {T}}}}\)-differences that are represented by infinite series. From a physical point of view, this discrete equation describes a lattice with long-range interactions of power-law type. From a mathematical point of view, it is a uniquely selected difference equation that exactly corresponds to continuous radial Schrödinger equation. Solution of the suggested difference radial Schrödinger equation is obtained.

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  1. Skobeltsyn Institute of Nuclear Physics, Lomonosov Moscow State University, Moscow, Russia, 119991

    Vasily E. Tarasov

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  1. Vasily E. Tarasov
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Correspondence to Vasily E. Tarasov.

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Tarasov, V.E. Exact Solution of T-Difference Radial Schrödinger Equation. Int. J. Appl. Comput. Math 3, 2779–2784 (2017). https://doi.org/10.1007/s40819-016-0270-8

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  • DOI: https://doi.org/10.1007/s40819-016-0270-8

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