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Linear differential equations for the one‐dimensional scattering problem
Author(s) -
Sedrakian D.M.,
Khachatrian A.Z.
Publication year - 2002
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/1521-3889(200208)11:7<503::aid-andp503>3.0.co;2-b
Subject(s) - scattering , reflection (computer programming) , linear differential equation , physics , matrix (chemical analysis) , mathematical analysis , differential equation , cauchy distribution , scattering theory , scattering amplitude , cauchy matrix , set (abstract data type) , linear equation , transmission (telecommunications) , mathematics , optics , cauchy boundary condition , computer science , boundary value problem , materials science , free boundary problem , composite material , programming language , telecommunications
The transmission and reflection amplitudes of an electron moving in a one dimensional potential of arbitrary form are obtained using the transfer matrix method. It is shown that the one‐dimensional scattering problem, in its most general form, can be reduced to Cauchy problem for a set of two linear differential equations.