Publication Type |
Journal Article |
School or College |
College of Science |
Department |
Physics |
Creator |
Mattis, Daniel C. |
Title |
Solution of multiple scattering by finite iteration |
Date |
1978-01 |
Description |
We propose an iterative nonlinear solution to the general potential scattering problem in quantum mechanics. It is illustrated by the case of N2 localized scatterers of arbitrary strengths Vj located at arbitrary points Rj in an infinite lattice, for which we obtain the complete set of bound and scattering states. The numberical evaluation is estimated to take 0(NI) steps as opposed to 0(NI³) steps by conventional matrix inversion. |
Type |
Text |
Publisher |
American Physical Society |
Journal Title |
Physical Review Letters |
Volume |
40 |
Issue |
4 |
First Page |
210 |
Last Page |
213 |
DOI |
10.1103/PhysRevLett.40.210 |
citatation_issn |
0031-9007 |
Subject |
Bound states; Eigenstates |
Subject LCSH |
Scattering (Physics); Green's functions; Quantum theory; Mathematical physics |
Language |
eng |
Bibliographic Citation |
Mattis, D. C. (1978). Solution of multiple scattering by finite iteration. Physical Review Letters, 40(4), 210-13. |
Rights Management |
(c) American Physical Society http://dx.doi.org/10.1103/PhysRevLett.40.210 |
Format Medium |
application/pdf |
Format Extent |
84,869 bytes |
Identifier |
ir-main,8082 |
ARK |
ark:/87278/s6jm2tqs |
Setname |
ir_uspace |
ID |
702477 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6jm2tqs |