TY - JOUR
T1 - Dynamical effects of a one-dimensional multibarrier potential of finite range
AU - Bar, D.
AU - Horwitz, L. P.
PY - 2002/2/2
Y1 - 2002/2/2
N2 - We discuss the properties of a large number N of one-dimensional (bounded) locally periodic potential barriers in a finite interval. We show that the transmission coefficient, the scattering cross section σ, and the resonances of σ depend sensitively upon the ratio of the total spacing to the total barrier width. We also show that a time dependent wave packet passing through the system of potential barriers rapidly spreads and deforms, a criterion suggested by Zaslavsky for chaotic behaviour. Computing the spectrum by imposing (large) periodic boundary conditions we find a Wigner type distribution. We investigate also the S-matrix poles; many resonances occur for certain values of the relative spacing between the barriers in the potential.
AB - We discuss the properties of a large number N of one-dimensional (bounded) locally periodic potential barriers in a finite interval. We show that the transmission coefficient, the scattering cross section σ, and the resonances of σ depend sensitively upon the ratio of the total spacing to the total barrier width. We also show that a time dependent wave packet passing through the system of potential barriers rapidly spreads and deforms, a criterion suggested by Zaslavsky for chaotic behaviour. Computing the spectrum by imposing (large) periodic boundary conditions we find a Wigner type distribution. We investigate also the S-matrix poles; many resonances occur for certain values of the relative spacing between the barriers in the potential.
KW - 02.10.Yn Matrix theory
KW - 03.65.Nk Scattering theory
KW - 05.45.Pq Numerical simulations of chaotic models
UR - http://www.scopus.com/inward/record.url?scp=0012112280&partnerID=8YFLogxK
U2 - 10.1007/s10051-002-8938-8
DO - 10.1007/s10051-002-8938-8
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AN - SCOPUS:0012112280
SN - 1434-6028
VL - 25
SP - 505
EP - 518
JO - European Physical Journal B
JF - European Physical Journal B
IS - 4
ER -