HIGHER-ORDER SUSY, EXACTLY SOLVABLE POTENTIALS, AND EXCEPTIONAL ORTHOGONAL POLYNOMIALS
2011 ◽
Vol 26
(25)
◽
pp. 1843-1852
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Keyword(s):
Exactly solvable rationally-extended radial oscillator potentials, whose wave functions can be expressed in terms of Laguerre-type exceptional orthogonal polynomials, are constructed in the framework of kth-order supersymmetric quantum mechanics, with special emphasis on k = 2. It is shown that for μ = 1, 2, and 3, there exist exactly μ distinct potentials of μth type and associated families of exceptional orthogonal polynomials, where μ denotes the degree of the polynomial gμ arising in the denominator of the potentials.
2012 ◽
Vol 380
◽
pp. 012016
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2009 ◽
Vol 373
(45)
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pp. 4117-4122
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2008 ◽
Vol 41
(39)
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pp. 392001
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2011 ◽
Vol 26
(32)
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pp. 5337-5347
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2010 ◽
Vol 51
(4)
◽
pp. 042101
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1992 ◽
Vol 25
(9)
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pp. L521-L524
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2005 ◽
Vol 20
(12)
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pp. 911-921
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1995 ◽
Vol 28
(3)
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pp. L107-L113
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Keyword(s):