Article ID Journal Published Year Pages File Type
520564 Journal of Computational Physics 2013 19 Pages PDF
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].

Related Topics
Physical Sciences and Engineering Computer Science Computer Science Applications
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