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Perturbation of the one-dimensional time-independent Schrodinger equation with a rectangular potential barrier
- Authors
- Jung, Soon-Mo; Choi, Ginkyu
- Issue Date
- Nov-2020
- Publisher
- DE GRUYTER POLAND SP Z O O
- Keywords
- perturbations; Hyers-Ulam stability; Schrodinger equation; time-independent Schrodinger equation; potential barrier
- Citation
- OPEN MATHEMATICS, v.18, no.1, pp.1413 - 1422
- Journal Title
- OPEN MATHEMATICS
- Volume
- 18
- Number
- 1
- Start Page
- 1413
- End Page
- 1422
- ISSN
- 2391-5455
- Abstract
- In Applied Mathematics Letters 74 (2017), 147-153, the Hyers-Ulam stability of the one-dimensional time-independent Schrodinger equation was investigated when the relevant system has a potential well of finite depth. As a continuous work, we prove in this paper a type of Hyers-Ulam stability of the one-dimensional time-independent Schrodinger equation with a rectangular potential barrier of V-0 in height and 2c in width, where V-0 is assumed to be greater than the energy E of the particle under consideration.
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Related Researcher
- Choi, Gin kyu
- Science & Technology (Department of Electronic & Electrical Convergence Engineering)