One-dimensional Infinite Square Well Problem via Two Parameter Deformed Algebra


Arikan A. S., ALTINTAŞ A. A., Yilmaz Y.

International Journal of Theoretical Physics, vol.63, no.3, 2024 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 63 Issue: 3
  • Publication Date: 2024
  • Doi Number: 10.1007/s10773-024-05603-0
  • Journal Name: International Journal of Theoretical Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: Deformed algebra, q-deformation, Quantum groups, Quantum mechanics
  • Istanbul University Affiliated: Yes

Abstract

In this manuscript, it has been shown that two parameter deformed calculus can be constructed by starting from the q-r addition formula. Then the energy eigenvalues for the one-dimensional infinite square well problem have been investigated by solving the q,r-deformed Schrödinger equation.