Title
Improved convergence of scattering calculations in the oscillator representation Improved convergence of scattering calculations in the oscillator representation
Author
Faculty/Department
Faculty of Sciences. Mathematics and Computer Science
Publication type
article
Publication
New York ,
Subject
Mathematics
Physics
Computer. Automation
Source (journal)
Journal of computational physics. - New York
Volume/pages
234(2013) , p. 60-78
ISSN
0021-9991
ISI
000311644900005
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The Schrödinger equation for two and tree-body problems is solved for scattering states in a hybrid representation where solutions are expanded in the eigenstates of the harmonic oscillator in the interaction region and on a finite difference grid in the near- and far-field. The two representations are coupled through a high-order asymptotic formula that takes into account the function values and the third derivative in the classical turning points. For various examples the convergence is analyzed for various physics problems that use an expansion in a large number of oscillator states. The results show significant improvement over the JM-ECS method [Y. Bidasyuk, W. Vanroose, J. Broeckhove, F. Arickx, V. Vasilevsky, Hybrid method (JM-ECS) combining the J-matrix and exterior complex scaling methods for scattering calculations, Phys. Rev. C 82 (6) (2010) 064603].
Full text (open access)
https://repository.uantwerpen.be/docman/irua/6c427d/4507.pdf
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