TY - JOUR
T1 - Transition matrices for quantum waveguides with impurities
AU - Rabinovich, Vladimir
AU - Urbano-Altamirano, Francisco
N1 - Publisher Copyright:
Copyright © 2018 John Wiley & Sons, Ltd.
PY - 2018/8
Y1 - 2018/8
N2 - We consider the electron propagation in a cylindrical quantum waveguide Π = D×R where D is a bounded domain in R2 described by the Dirichlet problem for the Schrödinger operator (Formula presented.) where x=(x1, x2), (Formula presented.), V(x) is the transversal confinement potential, and W(x, z) is the impurity potential. We construct the left and right transition matrices and give an numerical algorithm for their calculations based on the spectral parameter power series method.
AB - We consider the electron propagation in a cylindrical quantum waveguide Π = D×R where D is a bounded domain in R2 described by the Dirichlet problem for the Schrödinger operator (Formula presented.) where x=(x1, x2), (Formula presented.), V(x) is the transversal confinement potential, and W(x, z) is the impurity potential. We construct the left and right transition matrices and give an numerical algorithm for their calculations based on the spectral parameter power series method.
KW - SPPS method
KW - impurity potential
KW - quantum waveguides
KW - transition matrices
UR - http://www.scopus.com/inward/record.url?scp=85046084051&partnerID=8YFLogxK
U2 - 10.1002/mma.4920
DO - 10.1002/mma.4920
M3 - Artículo
SN - 0170-4214
VL - 41
SP - 4659
EP - 4675
JO - Mathematical Methods in the Applied Sciences
JF - Mathematical Methods in the Applied Sciences
IS - 12
ER -