Part 1: Construction. Multiresolution of the one dimensional free-particle propagator

The free-particle propagator, a key operator in various algorithms for simulating the time evolution of the Schrödinger equation, is studied.

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By Evgueni Dinvay, Yuliya Zabelina, Luca Frediani
Published Nov. 25, 2024

A multiscale approximation of this propagator is constructed, representing the semigroup associated with the free-particle Schrödinger operator in a multiwavelet basis. This representation involves integrals of highly oscillatory functions. These integrals are efficiently discretized using a contour deformation technique, which addresses the challenges posed by earlier discretization methods.

Publication: 2024.11.25, https://www.sciencedirect.com/science/article/pii/S001046552400359X  

Published Nov. 25, 2024 1:00 PM - Last modified Dec. 19, 2024 1:00 PM