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The Approximation Property of a One-Dimensional, Time Independent Schrodinger Equation with a Hyperbolic Potential Well
- Authors
- Choi, Ginkyu; Jung, Soon-Mo
- Issue Date
- Aug-2020
- Publisher
- MDPI
- Keywords
- generalized Hyers-Ulam stability; Hyers-Ulam stability; Schrodinger equation; time independent Schrodinger equation; hyperbolic potential well
- Citation
- MATHEMATICS, v.8, no.8, pp.1 - 8
- Journal Title
- MATHEMATICS
- Volume
- 8
- Number
- 8
- Start Page
- 1
- End Page
- 8
- ISSN
- 2227-7390
- Abstract
- A type of Hyers-Ulam stability of the one-dimensional, time independent Schrodinger equation was recently investigated; the relevant system had a parabolic potential wall. As a continuation, we proved a type of Hyers-Ulam stability of the time independent Schrodinger equation under the action of a specific hyperbolic potential well. One of the advantages of this paper is that it proves a type of Hyers-Ulam stability of the Schrodinger equation under the condition that the potential function has singularities.
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Related Researcher
- Choi, Gin kyu
- Science & Technology (Department of Electronic & Electrical Convergence Engineering)