SUPERSYMMETRIC APPROACH TO EXACTLY SOLVABLE SYSTEMS WITH POSITION-DEPENDENT EFFECTIVE MASSES
2002 ◽
Vol 17
(31)
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pp. 2057-2066
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Keyword(s):
The One
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We discuss the relationship between exact solvability of the Schrödinger equation with a position-dependent mass and the ordering ambiguity in the Hamiltonian operator within the framework of supersymmetric quantum mechanics. The one-dimensional Schrödinger equation, derived from the general form of the effective mass Hamiltonian, is solved exactly for a system with exponentially changing mass in the presence of a potential with similar behaviour, and the corresponding supersymmetric partner Hamiltonians are related to the effective-mass Hamiltonians proposed in the literature.
2006 ◽
Vol 43
(1)
◽
pp. 92-100
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1995 ◽
Vol 16
(6)
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pp. 260-265
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2011 ◽
Vol 2011
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pp. 1-9
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2005 ◽
Vol 50
(8-9)
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pp. 1345-1362
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2009 ◽
Vol 238
(6)
◽
pp. 687-698
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1972 ◽
Vol 29
(19)
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pp. 1350-1353
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Keyword(s):