Propagators of singular anharmonic oscillators with quasi-equidistant spectra
Quantum Physics
2025-12-19 v1 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2512.16695,
title = {Propagators of singular anharmonic oscillators with quasi-equidistant spectra},
author = {Andrey M. Pupasov-Maksimov and Marcelo Silva Oliveira},
journal= {arXiv preprint arXiv:2512.16695},
year = {2025}
}
Comments
20 pages, 5 figures