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Open Quantum Systems Decoherence Quantum Simulation Quantum State Preparation Representation

Any l-state solutions of the Woods-Saxon potential in arbitrary dimensions within the new improved quantization rule

arXiv
Authors: Sameer M/ Ikhdair, Ramazan Sever

Year

2010

Paper ID

11122

Status

Preprint

Abstract Read

~2 min

Abstract Words

80

Citations

N/A

Abstract

The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical Woods-Saxon effective potential in D dimensions are obtained within the new improved quantization rule for all l-states. The Pekeris approximation is used to deal with the centrifugal term in the effective Woods-Saxon potential. The inter-dimensional degeneracies for various orbital quantum number l and dimensional space D are studied. The solutions for the Hulthén potential, the three-dimensional D=3, the % s-wave $l=0$ and the cases are briefly discussed.

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  • The approximated energy eigenvalues and the corresponding eigenfunctions of the spherical Woods-Saxon effective potential in D dimensions are obtained within the new improved...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:1009.5083 [2] arXiv https://arxiv.org/abs/1009.5083 [3] Publisher https://arxiv.org/abs/1009.5083

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