So(2,1) Lie algebra and the Green's functions for the conditionally exactly solvable potentials

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1994-12-01

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Dutra, Alvaro de Souza [UNESP]
Boschi-Filho, Henrique

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The Green's functions of the recently discovered conditionally exactly solvable potentials are computed. This is done through the use of a second-order differential realization of the so(2,1) Lie algebra. So we present the dynamical symmetry underlying the solvability of such potentials and show that they belong to a general class of solvable and partially solvable potentials. © 1994 The American Physical Society.

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Physical Review A, v. 50, n. 4, p. 2915-2920, 1994.