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Zeitschrift für Physik B Condensed Matter
ISSN: 0722-3277 (printed version)
ISSN: 1431-584X (electronic version)
Abstract Volume 100 Issue 3 (1996) pp 423-427
Spin particles at stratified media: operator approach
N. K. Pleshanov
Neutron Research Department, Petersburg Nuclear Physics Institute, 188350, Gatchina, Leningrad Region, Russia (e-mail: pleshanov@lnpi.spb.su, Fax:+7(81271)39053)
Received: 21 March 1995/Revised version: 4 October 1995
Abstract. The operator formalism of quantum mechanics is applied to the problem of reflection and transmission of non-relativistic spin particles at stratified media. Two basic numerical methods in optics of stratified media, the matrix method of Abeles and the formalism of Airy, have been thus generalized for non-relativistic spin particles. Such an approach provides numerical solution of the problem of interaction of a spin particle in an arbitrary state with a spin-dependent one-dimensional potential. Application of the generalized Airy's formalism to neutrons in magnetically non-collinear stratified media has been considered as an example.
PACS: 03.65.Ca; 61.12.-q
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