Multiple Scattering Theory in a General Basis

ZHAO Hai-Feng; WU Zi-Yu; Sebilleau Didier

Chinese Physics C> 2007, Vol. 31> Issue(5) : 452-457

Multiple Scattering Theory in a General Basis

Beijing Synchrotron Radiation Facility, Institute of High Energy Physics, CAS, Beijing 100049, China2 Equipe de Physique des Surfaces et des Interfaces, Laboratoire de Physique des Atomes, Lasers, Molecules et Surfaces,UMR CNRS-Universite 6627, Universite de Rennes 1, 35042 Rennes Cedex, France

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Abstract：
We present a theory to describe multiple scattering (MS) with an arbitrary basis. This framework allows us to select a set of new basis that exhibits better convergent properties than the usual spherical wave basis. Therefore, it enables us to perform faster and less memory-consuming calculations. Although the method outlined here is quite general, it gives a better description of the scattering properties and consequently reduces the size of the two block matrices involved in the MS calculation.

References

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. Rehr J J, Albers R C. Rev. Mod. Phys., 2000, 72: 621-6542. Sebilleau D, Gunnella R, WU Z Y et al. J. Phys.: Condens.Matter, 2006, 18: R175-R2303. Gyor y B L, Stott M J. Band Structure Spectroscopy ofMetals and Alloys. London: Academic Press, 1973. 385-4034. Zeller R, Dederichs P H, Ujfalussy B et al. Phys. Rev.,1995, B52: 8807-88125. Petit L, Beiden S V, Temmerman W M et al. Mag., 1998,B78: 449-4566. van Haeringen H. J. Math. Phys., 1976, 17: 995-10007. Taylor J R. Scattering Theory: The Quantum Theory onNonrelativistic Collisions. New York: John Wiley Sons,Inc., 1972. 21-378. Cooper F, Khare A, Sukhatme U. Phys. Reports, 1995,251: 267-3859. Sebilleau D. Phys. Rev., 2000, B61: 14167-1417810. Newton R G. Scattering Theory of Waves and Particles.2nd Edition. Berlin: Springer-Verlag, 1982. 424-433

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ZHAO Hai-Feng, WU Zi-Yu and Sebilleau Didier. Multiple Scattering Theory in a General Basis[J]. Chinese Physics C, 2007, 31(5): 452-457.

ZHAO Hai-Feng, WU Zi-Yu and Sebilleau Didier. Multiple Scattering Theory in a General Basis[J]. Chinese Physics C, 2007, 31(5): 452-457. shu

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Received: 2005-10-17
Revised: 2006-12-12

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

Multiple Scattering Theory in a General Basis

Corresponding author: WU Zi-Yu,

Beijing Synchrotron Radiation Facility, Institute of High Energy Physics, CAS, Beijing 100049, China2 Equipe de Physique des Surfaces et des Interfaces, Laboratoire de Physique des Atomes, Lasers, Molecules et Surfaces,UMR CNRS-Universite 6627, Universite de Rennes 1, 35042 Rennes Cedex, France

Received Date: 2005-10-17
Accepted Date: 2006-12-12
Available Online: 2007-05-05

Abstract: We present a theory to describe multiple scattering (MS) with an arbitrary basis. This framework allows us to select a set of new basis that exhibits better convergent properties than the usual spherical wave basis. Therefore, it enables us to perform faster and less memory-consuming calculations. Although the method outlined here is quite general, it gives a better description of the scattering properties and consequently reduces the size of the two block matrices involved in the MS calculation.