q-Schrödinger Equations for V = u2 + 1/u2 and Morse Potentials in Terms of the q-Canonical Transformation
1997 ◽
Vol 12
(13)
◽
pp. 2373-2384
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Keyword(s):
The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Schrödinger equations for the Morse and the V = u2 + 1/u2 potentials were known to be related by a canonical transformation. q-deformed analog of this transformation connecting two different realizations of the sl q(2) algebra is presented. By the virtue of the q-canonical transformation, a q-deformed Schrödinger equation for the Morse potential is obtained from the q-deformed V = u2 + 1/u2 Schrödinger equation. Wave functions and eigenvalues of the q-Schrödinger equations yielding a new definition of the q-Laguerre polynomials are studied.
2020 ◽
Vol 17
(36)
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pp. 565-583
2012 ◽
Vol 09
(04)
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pp. 613-639
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2006 ◽
Vol 2006
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pp. 1-29
2015 ◽
Vol 58
(3)
◽
pp. 697-716
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1998 ◽
Vol 13
(28)
◽
pp. 4913-4929
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