A Multiple Scattering Theory Approach to Solving the Time-Dependent Schrödinger Equation with an Asymmetric Rectangular Potential

The exact expressions for an energy-dependent Green function (resolvent), space-time propagator and time-dependent solution for the wave function Ψ(r, t) of a particle moving in the presence of an asymmetric rectangular well/barrier potential are obtained. It is done by applying to this problem the...

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Veröffentlicht in:	Reports on mathematical physics 2016-04, Vol.77 (2), p.211-238
Hauptverfasser:	Los, Victor F., Los, Nicholas V.
Format:	Artikel
Sprache:	eng
Schlagworte:	Asymmetry backward-moving wave dwell time effective scattering potentials Mathematical analysis Mathematical models multiple-scattering theory nanostructures rectangular asymmetric well/barrier potential Scattering Schroedinger equation Time dependence time-dependent Schrödinger equation Wave functions Wave packets
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