Calculation of the propagator of Schrödinger’s equation on (0, ∞) with the potential kx−2 + ω2x2 by Laplace’s method

DOI10.1063/1.5030787zbMath1394.81120OpenAlexW2884735499MaRDI QIDQ4583076

Peter Wagner, Norbert Ortner and Peter Wagner

Publication date: 27 August 2018

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5030787

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Green's functions for elliptic equations (35J08)

Related Items (1)

The Schrödinger propagator on \((0,\infty)\) for a special potential by a Lie symmetry group method

Cites Work

• THE EXPLICIT SOLUTIONS TO THE TIME-DEPENDENT SCHRÖDINGER EQUATIONS WITH THE SINGULAR POTENTIALS AND
• Quantum Electrodynamics
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