The Green Function Cellular Method and Its Relation to Multiple Scattering Theory
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ABSTRACTWe investigate techniques for solving the wave equation which are based on the idea of obtaining exact local solutions within each potential cell, which are then joined to form a global solution. We derive full potential multiple scattering theory (MST) from the Lippmann-Schwinger equation and show that it as well as a closely related cellular method are techniques of this type. This cellular method appears to have all of the advantages of MST and the added advantage of having a secular matrix with only nearest neighbor interactions. Since this cellular method is easily linearized one can rigorously reduce electronic structure calculations to the problem of solving a nearest neighbor tight-binding problem.
2010 ◽
Vol 22
(18)
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pp. 185501
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2018 ◽
Vol 224
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pp. 265-272
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2004 ◽
Vol 16
(36)
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pp. 6453-6468
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1992 ◽
Vol 58
(4)
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pp. 299-314
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