Calculation of the propagator of Schr\"odinger's equation on $(0,\infty)$ with the potential $kx^{-2} + \omega^2x^2$ by Lie symmetry group method

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Calculation of the propagator of Schr\"odinger's equation on $(0,\infty)$ with the potential $kx^{-2} + \omega^2x^2$ by Lie symmetry group method

dc.contributor.author	Güngör, F.
dc.date.accessioned	2026-01-29T02:43:07Z
dc.date.issued	2018-08-22
dc.description.abstract	The propagators (fundamental solutions) of the heat and Schr\"odinger's equations on the half-line with a combined harmonic oscillator and inverse-square potential calculated in the recent paper [{\em J. Math. Phys.} {\bf 59}, 051507 (2018)] using Laplace's method are demonstrated to be obtainable alternatively within the framework of symmetry group methods discussed in a series of two papers in the same journal.
dc.description.abstract	Comment: 6 pages
dc.description.uri	http://arxiv.org/abs/1808.07298
dc.identifier.openaire	arXiv_dedup_::9ada591928b5720f384b14e4c2c054d9
dc.identifier.uri	https://hdl.handle.net/11527/65270
dc.rights	OPEN
dc.subject	Mathematical Physics
dc.title	Calculation of the propagator of Schr\"odinger's equation on $(0,\infty)$ with the potential $kx^{-2} + \omega^2x^2$ by Lie symmetry group method
dc.type	Preprint
dspace.entity.type	Publication