Calculation of the propagator of Schrödinger’s equation on (0, ∞) with the potential kx−2 + ω2x2 by Laplace’s method
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DOI: 10.1063/1.5030787
Abstract: Using Laplace’s method, Green’s function of the operator ∂t−12∂x2+k2x−2+12ω2x2,k≥−14, ω≥0 is calculated in the half-space x > 0. Therefrom, we deduce the propagator of Schrodinger’s equation with the potential V(x) = kx−2 + ω2x2 for k≥34. read more here.
Keywords: laplace method; propagator; potential 2x2; equation potential ... See more keywords