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Stochastic Methods for Zero Energy Quantum Scattering | Justus H. Koch
; Hubertus R. Mall
; Stefan Lenz (Institut f. Theoretische Physik III
; Universität Erlangen - Nürnberg National Institute for Nuclear Physics
; High Energy Physics
; | Date: |
10 Mar 1997 | Subject: | nucl-th hep-lat | Affiliation: | 1,2), Hubertus R. Mall and Stefan Lenz (Institut f. Theoretische Physik III, Universität Erlangen - Nürnberg National Institute for Nuclear Physics and High Energy Physics (NIKHEF) and Institute for Theoretical Physics, University of Amsterda | 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. | Source: | arXiv, nucl-th/9703019 | Services: | Forum | Review | PDF | Favorites |
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