Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall

The first author has recently investigated a type of Hyers-Ulam stability of the one-dimensional time independent Schrödinger equation when the relevant system has a rectangular potential barrier of finite height. In the present paper, we will investigate a type of Hyers-Ulam stability of the Schröd...

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Main Authors: Soon-Mo Jung, Byungbae Kim
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/12/7/1089
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spelling doaj-67418b9234664af1a7dd40d7cc66ca222020-11-25T03:30:17ZengMDPI AGSymmetry2073-89942020-07-01121089108910.3390/sym12071089Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential WallSoon-Mo Jung0Byungbae Kim1Mathematics Section, College of Science and Technology, Hongik University, Sejong 30016, KoreaPhysics Section, College of Science and Technology, Hongik University, Sejong 30016, KoreaThe first author has recently investigated a type of Hyers-Ulam stability of the one-dimensional time independent Schrödinger equation when the relevant system has a rectangular potential barrier of finite height. In the present paper, we will investigate a type of Hyers-Ulam stability of the Schrödinger equation with the symmetric parabolic wall potential.https://www.mdpi.com/2073-8994/12/7/1089perturbationsHyers-Ulam stabilitySchrödinger equationtime independent Schrödinger equationsymmetric potential wall
collection DOAJ
language English
format Article
sources DOAJ
author Soon-Mo Jung
Byungbae Kim
spellingShingle Soon-Mo Jung
Byungbae Kim
Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
Symmetry
perturbations
Hyers-Ulam stability
Schrödinger equation
time independent Schrödinger equation
symmetric potential wall
author_facet Soon-Mo Jung
Byungbae Kim
author_sort Soon-Mo Jung
title Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
title_short Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
title_full Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
title_fullStr Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
title_full_unstemmed Perturbation of One-Dimensional Time Independent Schrödinger Equation With a Symmetric Parabolic Potential Wall
title_sort perturbation of one-dimensional time independent schrödinger equation with a symmetric parabolic potential wall
publisher MDPI AG
series Symmetry
issn 2073-8994
publishDate 2020-07-01
description The first author has recently investigated a type of Hyers-Ulam stability of the one-dimensional time independent Schrödinger equation when the relevant system has a rectangular potential barrier of finite height. In the present paper, we will investigate a type of Hyers-Ulam stability of the Schrödinger equation with the symmetric parabolic wall potential.
topic perturbations
Hyers-Ulam stability
Schrödinger equation
time independent Schrödinger equation
symmetric potential wall
url https://www.mdpi.com/2073-8994/12/7/1089
work_keys_str_mv AT soonmojung perturbationofonedimensionaltimeindependentschrodingerequationwithasymmetricparabolicpotentialwall
AT byungbaekim perturbationofonedimensionaltimeindependentschrodingerequationwithasymmetricparabolicpotentialwall
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