Quantum Hamilton-Jacobi approach to two dimensional singular oscillator


Yesiltas Ö., Demircioglu B.

CHINESE PHYSICS LETTERS, vol.25, no.6, pp.1935-1938, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 25 Issue: 6
  • Publication Date: 2008
  • Doi Number: 10.1088/0256-307x/25/6/004
  • Journal Name: CHINESE PHYSICS LETTERS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.1935-1938
  • Gazi University Affiliated: Yes

Abstract

We obtain the solutions of two-dimensional singular oscillator which is known as the quantum Calogero-Sutherland model both in cartesian and parabolic coordinates within the framework of quantum Hamilton Jacobi formalism. Solvability conditions and eigenfunctions are obtained by using the singularity structures of quantum momentum functions under some conditions. New potentials are generated by using the first two states of singular oscillator for parabolic coordinates.