Nonlinear Functional Analysis and Applications

Kyungnam University, Department of Mathematics Eduaction (경남대학교 수학교육과)
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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)
  • Received : 2020.08.24
  • Accepted : 2020.10.07
  • Published : 2021.03.15
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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.

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References

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