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Derivation of the time-dependent propagator for the three-dimensional Schrodinger equation with one point interaction

1990; Institute of Physics; Volume: 23; Issue: 19 Linguagem: Inglês

10.1088/0305-4470/23/19/003

1361-6447

Sergio Scarlatti, Alessandro Teta,

Gyrotron and Vacuum Electronics Research

An explicit formula for the time-dependent propagator of the Schrodinger equation with one point interaction in three dimensions is given. The derivation is based on the inverse Laplace transformation applied to the corresponding resolvent.