slq(2) realizations for Kepler and oscillator potentials and q-canonical transformations

O. F. Dayi; I. H. Duru

doi:10.1088/0305-4470/28/8/029

sl_q(2) realizations for Kepler and oscillator potentials and q-canonical transformations

O. F. Dayi^*
, I. H. Duru

^*Corresponding author for this work

Scientific and Technological Research Council of Turkey

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

16 Citations (Scopus)

Abstract

The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.

Original language	English
Article number	029
Pages (from-to)	2395-2402
Number of pages	8
Journal	Journal of Physics A: Mathematical and General
Volume	28
Issue number	8
DOIs	https://doi.org/10.1088/0305-4470/28/8/029
Publication status	Published - 1995
Externally published	Yes

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title = "slq(2) realizations for Kepler and oscillator potentials and q-canonical transformations",

abstract = "The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.",

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year = "1995",

doi = "10.1088/0305-4470/28/8/029",

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AU - Dayi, O. F.

AU - Duru, I. H.

PY - 1995

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N2 - The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.

AB - The realizations of the Lie algebra corresponding to the dynamical symmetry group SO(2,1) of the Kepler and oscillator potentials are q-deformed. The q-canonical transformation connecting two realizations is given and a general definition for the q-canonical transformation is deduced. A q-Schrodinger equation for a Kepler-like potential is obtained from the q-oscillator Schrodinger equation. The energy spectrum and the ground-state wavefunction are calculated.

UR - https://www.scopus.com/pages/publications/21844483016

U2 - 10.1088/0305-4470/28/8/029

DO - 10.1088/0305-4470/28/8/029

M3 - Article

AN - SCOPUS:21844483016

SN - 0305-4470

VL - 28

SP - 2395

EP - 2402

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 8

M1 - 029

ER -

sl_q(2) realizations for Kepler and oscillator potentials and q-canonical transformations

Abstract

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