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Ground State Eigenfunction of Spheroidal Wave Functions |
TIAN Gui-Hua, ZHONG Shu-Quan |
| School of Science, Beijing University of Posts andTelecommunications, Beijing 100876 |
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TIAN Gui-Hua, ZHONG Shu-Quan 2010 Chin. Phys. Lett. 27 040305 |
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Abstract We study the spin-weighted spheroidal wave functions in the case of s=m=0. Their eigenvalue problem is investigated by the perturbation method in supersymmetric quantum mechanics. In the first three terms of parameter α=a2w2, the ground eigenvalue and eigenfunction are obtained. The obtained ground eigenfunction is elegantly in closed forms. These results are new and very useful for the application of the spheroidal wave functions.
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| Keywords:
03.65.Ge
02.30.Gp
11.30.Pb
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Received: 10 December 2009
Published: 27 March 2010
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