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Open Quantum Systems Decoherence Quantum Simulation

Dunkl-Schrödinger equation with time-dependent harmonic oscillator potential

arXiv

Authors: A. Benchikha, B. Khantoul, B. Hamil, B. C. Lütfüoğlu

Year

2024

Paper ID

65509

Status

Preprint

Abstract Read

~2 min

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Abstract

In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent mass and frequency within the framework of the Dunkl derivative, which leads to the derivation of a parity-dependent of the invariant and auxiliary equation.

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In this paper, using the Lewis-Riesenfeld method, we determine the explicit form of the wavefunctions of one- and three-dimensional harmonic oscillators with time-dependent...

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2407.08531 [2] arXiv https://arxiv.org/abs/2407.08531 [3] Publisher https://arxiv.org/abs/2407.08531

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