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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) =… Click to show full 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.
Keywords:
laplace method;
propagator;
potential 2x2;
equation potential
Journal Title: Journal of Mathematical Physics
Year Published: 2018
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Journal Title: Journal of Mathematical Physics
Year Published: 2018
Link to full text (if available)
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recommendations!