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arXiv · nucl-th/9703019

Stochastic Methods for Zero Energy Quantum Scattering

Justus H. Koch·Hubertus R. Mall·Stefan Lenz
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Abstract

We investigate the use of stochastic methods for zero energy quantum scattering based on a path integral approach. With the application to the scattering of a projectile from a nuclear many body target in mind, we use the potential scattering of a particle as a test for the accuracy and efficiency of several methods. To be able to deal with complex potentials, we introduce a path sampling action and a modified scattering observable. The approaches considered are the random walk, where the points of a path are sequentially generated, and the Langevin algorithm, which updates an entire path. Several improvements are investigated. A cluster algorithm for dealing with scattering problems is finally proposed, which shows the best accuracy and stability.

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BibTeXRIS

Justus H. Koch, Hubertus R. Mall, Stefan Lenz. 1997-03-10. Stochastic Methods for Zero Energy Quantum Scattering. https://doi.org/10.1016/s0010-4655(97)00130-6

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