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Perturbative Aspects of q-Deformed Dynamics

Jian-zu Zhang·Per Osland
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Abstract

Within the framework of the q-deformed Heisenberg algebra a dynamical equation of q-deformed quantum mechanics is discussed. The perturbative aspects of the q-deformed Schrödinger equation are analyzed. General representations of the additional momentum-dependent interaction originating from the q-deformed effects are presented in two approaches. As examples, such additional interactions related to the harmonic-oscillator potential and the Morse potential are demonstrated.

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Jian-zu Zhang, Per Osland. 2001-02-04. Perturbative Aspects of q-Deformed Dynamics. https://doi.org/10.1007/s100520100649

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