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Open Quantum Systems Decoherence Quantum Simulation Entanglement Theory Quantum Correlations Quantum State Preparation Representation

Propagators of singular anharmonic oscillators with quasi-equidistant spectra

arXiv

Authors: Andrey M. Pupasov-Maksimov, Marcelo Silva Oliveira

Year

2025

Paper ID

5908

Status

Preprint

Abstract Read

~2 min

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Abstract

Darboux transformations of the singular harmonic oscillator are considered. Analytical expressions for the propagators are obtained, using the image method applied to formal singular propagators. Two-well and three-well families of potentials and the corresponding propagators are presented. Axially symmetric magnetic field configurations corresponding to these potentials have been identified.

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Darboux transformations of the singular harmonic oscillator are considered.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2512.16695 [2] arXiv https://arxiv.org/abs/2512.16695 [3] Publisher https://arxiv.org/abs/2512.16695

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