Quantum Hamilton-Jacobi approach to two dimensional singular oscillator

Yesiltas Ö., Demircioglu B.

CHINESE PHYSICS LETTERS, cilt.25, sa.6, ss.1935-1938, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 25 Sayı: 6
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1088/0256-307x/25/6/004
  • Dergi Adı: CHINESE PHYSICS LETTERS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.1935-1938
  • Gazi Üniversitesi Adresli: Evet

Özet

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.