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Propagators of singular anharmonic oscillators with quasi-equidistant spectra
Andrey M. Pupasov-Maksimov, Marcelo Silva Oliveira·December 18, 2025
Quantum PhysicsMathematical Physics
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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.