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Open Quantum Systems Decoherence
Quantum Hamilton-Jacobi Approach to Two Dimensional Singular Oscillator
arXiv
Authors: Ozlem Yesiltas, Bengu Demircioglu
Year
2007
Paper ID
49321
Status
Preprint
Abstract Read
~2 min
Abstract Words
66
Citations
N/A
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.
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- 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...
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