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- W1969843460 abstract "A solution of the time-dependent Schrodinger equation is required in a variety of problems in physics and chemistry. These include atoms and molecules in time-dependent electromagnetic fields, time-dependent approaches to atomic collision problems, and describing the behavior of materials subjected to internal and external forces. We describe an approach in which the finite-element discrete variable representation (FEDVR) is combined with the real-space product (RSP) algorithm to generate an efficient and highly accurate method for the solution of the time-dependent linear and nonlinear Schrodinger equation. The FEDVR provides a highly accurate spatial representation using a minimum number of grid points $(N)$ while the RSP algorithm propagates the wave function in $O(N)$ operations per time step. Parallelization of the method is transparent and is implemented here by distributing one or two spatial dimensions across the available processors, within the message-passing-interface scheme. The complete formalism and a number of three-dimensional examples are given; its high accuracy and efficacy are illustrated by a comparison with the usual finite-difference method." @default.
- W1969843460 created "2016-06-24" @default.
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- W1969843460 date "2006-03-28" @default.
- W1969843460 modified "2023-10-16" @default.
- W1969843460 title "Parallel solver for the time-dependent linear and nonlinear Schrödinger equation" @default.
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- W1969843460 doi "https://doi.org/10.1103/physreve.73.036708" @default.
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