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http://dx.doi.org/10.22771/nfaa.2021.26.01.11

APPROXIMATE SOLUTIONS OF SCHRÖDINGER EQUATION WITH A QUARTIC POTENTIAL  

Jung, Soon-Mo (Mathematics Section, College of Science and Technology Hongik University)
Kim, Byungbae (Physics Section, College of Science and Technology Hongik University)
Publication Information
Nonlinear Functional Analysis and Applications / v.26, no.1, 2021 , pp. 157-164 More about this Journal
Abstract
Recently we investigated a type of Hyers-Ulam stability of the Schrödinger equation with the symmetric parabolic wall potential that efficiently describes the quantum harmonic oscillations. In this paper we study a type of Hyers-Ulam stability of the Schrödinger equation when the potential barrier is a quartic wall in the solid crystal models.
Keywords
Perturbation; Hyers-Ulam stability; $Schr{\ddot{o}}dinger$ equation; time independent $Schr{\ddot{o}}dinger$ equation; quartic potential wall;
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Times Cited By KSCI : 1  (Citation Analysis)
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