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Background: Path integrals are a powerful tool for solving problems inquantum theory that are not amenable to a treatment by perturbation theory.Most path integral computations require an analytic continuation to imaginarytime. While imaginary time treatments of scattering are possible, imaginarytime is not a natural framework for treating scattering problems. Purpose: Totest a recently introduced method for performing direct calculations ofscattering observables using real-time path integrals. Methods: Thecomputations are based on a new interpretation of the path integral as theexpectation value of a potential functional on a space of continuous paths withrespect to a complex probability distribution. The method has the advantagethat it can be applied to arbitrary short-range potentials. Results: The newmethod is tested by applying it to calculate half-shell sharp-momentumtransition matrix elements for one-dimensional potential scattering. Thecalculations for half shell transition operator matrix elements are inagreement with a numerical solution of the Lippmann-Schwinger equation. Thecomputational method has a straightforward generalization to more complicatedsystems.

Scattering using real-time path integrals