The Schrodinger propagator on (0, infinity)for a special potential by a Lie symmetry group method

Gungor F.

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, vol.70, no.3, pp.1609-1616, 2021 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 70 Issue: 3
  • Publication Date: 2021
  • Doi Number: 10.1007/s12215-020-00576-5
  • Journal Name: RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH, DIALNET
  • Page Numbers: pp.1609-1616
  • Keywords: Green function, Linear Schrödinger equation with potential, Symmetry group
  • Istanbul Technical University Affiliated: Yes

Abstract

We calculate the propagators (Green functions) of the heat and Schrodinger's equations on the half-line with a combined harmonic oscillator and inverse-square potential using Lie symmetry group methods.