Reducing anomalous reflection from complex absorbing potentials: A semiclassical approach

Autor:	Eric J. Heller, Kobra Nasiri Avanaki, Micheline B. Soley
Rok vydání:	2021
Předmět:	Physics Classical mechanics Computer simulation Orders of magnitude (time) Scattering Face (geometry) Semiclassical physics Scattering theory Born approximation Wave function
Zdroj:	Physical Review A. 103
ISSN:	2469-9934 2469-9926
DOI:	10.1103/physreva.103.l041301
Popis:	Numerical simulations are frequently required for quantum scattering problems and often face difficulties with finite grids and unwanted, unphysical reflections. For decades, improved complex absorbing potentials (CAPs) have been sought. Today, the rise of ultracold physics makes a solution essential as CAP errors increase at lower energies. We present a method that provides a physical, semiclassical picture of how to improve CAPs based on the behavior of classical trajectories. The method does not rely on the mathematical formalism often required by existing methods and reduces the error associated with CAP-based calculation of the low-energy scattering wavefunctions by up to several orders of magnitude relative to the standard Woods-Saxon approach, as demonstrated via the distorted-wave Born approximation. This indicates the method may be applied to the numerical simulation of collisions in the ultracold regime.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b05b99eb6fe97ea40efbb20572880f3d https://doi.org/10.1103/physreva.103.l041301 Zobrazit plný text záznamu