dorsal/arxiv
View SchemaStochastic Methods for Zero Energy Quantum Scattering
| Authors | Justus H. Koch, Hubertus R. Mall, Stefan Lenz |
|---|---|
| Categories | |
| ArXiv ID | nucl-th/9703019 |
| URL | https://arxiv.org/abs/nucl-th/9703019 |
| DOI | 10.1016/S0010-4655(97)00130-6 |
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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"abstract": "We investigate the use of stochastic methods for zero energy quantum\nscattering based on a path integral approach. With the application to the\nscattering of a projectile from a nuclear many body target in mind, we use the\npotential scattering of a particle as a test for the accuracy and efficiency of\nseveral methods. To be able to deal with complex potentials, we introduce a\npath sampling action and a modified scattering observable. The approaches\nconsidered are the random walk, where the points of a path are sequentially\ngenerated, and the Langevin algorithm, which updates an entire path. Several\nimprovements are investigated. A cluster algorithm for dealing with scattering\nproblems is finally proposed, which shows the best accuracy and stability.",
"arxiv_id": "nucl-th/9703019",
"authors": [
"Justus H. Koch",
"Hubertus R. Mall",
"Stefan Lenz"
],
"categories": [
"nucl-th",
"hep-lat"
],
"doi": "10.1016/S0010-4655(97)00130-6",
"title": "Stochastic Methods for Zero Energy Quantum Scattering",
"url": "https://arxiv.org/abs/nucl-th/9703019"
},
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