q-Schrödinger equations for V = u2 + 1/u2 and Morse potentials in terms of the q-canonical transformation

Ö F. Dayi; I. H. Duru

doi:10.1142/S0217751X97001389

q-Schrödinger equations for V = u² + 1/u² and Morse potentials in terms of the q-canonical transformation

Ö F. Dayi^*, I. H. Duru

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	2373-2384
Number of pages	12
Journal	International Journal of Modern Physics A
Volume	12
Issue number	13
DOIs	https://doi.org/10.1142/S0217751X97001389
Publication status	Published - 20 May 1997
Externally published	Yes

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title = "q-Schr{\"o}dinger equations for V = u2 + 1/u2 and Morse potentials in terms of the q-canonical transformation",

abstract = "The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2, 1) of the Schr{\"o}dinger 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 slq(2) algebra is presented. By the virtue of the q-canonical transformation, a q-deformed Schr{\"o}dinger equation for the Morse potential is obtained from the q-deformed V = u2+1/u2 Schr{\"o}dinger equation. Wave functions and eigenvalues of the q-Schr{\"o}dinger equations yielding a new definition of the q-Laguerre polynomials are studied.",

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AU - Dayi, Ö F.

AU - Duru, I. H.

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Y1 - 1997/5/20

N2 - 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 slq(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.

AB - 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 slq(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.

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JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

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ER -

q-Schrödinger equations for V = u² + 1/u² and Morse potentials in terms of the q-canonical transformation

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