Calculation of the propagator of Schrödinger's equation on (0,∞) with the potential kx^-2 + ω²x² by Lie symmetry group method

2018/08/22 by F. Güngör, Güngör, F.
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.1808.07298

6 pages

arxiv created 2018/08/22 · arxiv updated 2018/08/23

Abstract

The propagators (fundamental solutions) of the heat and Schrödinger'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.

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