Title 



Improved convergence of scattering calculations in the oscillator representation
 
Author 



 
Abstract 



The Schrödinger equation for two and treebody 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 farfield. The two representations are coupled through a highorder 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 JMECS method [Y. Bidasyuk, W. Vanroose, J. Broeckhove, F. Arickx, V. Vasilevsky, Hybrid method (JMECS) combining the Jmatrix and exterior complex scaling methods for scattering calculations, Phys. Rev. C 82 (6) (2010) 064603].   
Language 



English
 
Source (journal) 



Journal of computational physics.  New York  
Publication 



New York : 2013
 
ISSN 



00219991
 
Volume/pages 



234(2013), p. 6078
 
ISI 



000311644900005
 
Full text (Publishers DOI) 


  
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