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Quantum Hamilton-Jacobi Approach to Two Dimensional Singular Oscillator

Research paper by Ozlem Yesiltas, Bengu Demircioglu

Indexed on: 27 Apr '08Published on: 27 Apr '08Published in: Quantum Physics



Abstract

We have obtained 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.