HYDROGEN ATOM AS AN EIGENVALUE PROBLEM IN 3-D SPACES OF CONSTANT CURVATURE AND MINIMAL LENGTH
1999 ◽
Vol 14
(35)
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pp. 2463-2469
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Keyword(s):
An old result of Stevenson [Phys. Rev.59, 842 (1941)] concerning the Kepler–Coulomb quantum problem on the three-dimensional (3-D) hypersphere is considered from the perspective of the radial Schrödinger equations on 3-D spaces of any (either positive, zero or negative) constant curvature. Further to Stevenson, we show in detail how to get the hypergeometric wave function for the hydrogen atom case. Finally, we make a comparison between the "space curvature" effects and minimal length effects for the hydrogen spectrum.
2020 ◽
Vol 23
(3)
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pp. 306-311
2004 ◽
Vol 15
(10)
◽
pp. 1367-1376
2009 ◽
Vol 26
(4)
◽
pp. 1483-1515
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Keyword(s):
Keyword(s):