id: 05117835
dt: a
an: 05117835
au: Fox, Colin; Oleinik, Vladimir; Pavlov, Boris
ti: A Dirichlet-to-Neumann map approach to resonance gaps and bands of periodic
    networks.
so: Chernov, Nikolaj (ed.) et al., Recent advances in differential equations
    and mathematical physics. UAB international conference on differential
    equations and mathematical physics, Birmingham, AL, USA, March
    29‒April 2, 2005. Providence, RI: American Mathematical Society (AMS)
    (ISBN 0-8218-3840-7/pbk). Contemporary Mathematics 412, 151-169 (2006).
py: 2006
pu: Providence, RI: American Mathematical Society (AMS)
la: EN
cc: 
ut: 
ci: 
li: 
ab: The authors propose a new approach based on the Dirichlet-to-Neumann map
    for the study of the spectral structure of periodic Schrödinger
    operators. In particular, it is shown that this map can be applied to
    the spectral analysis of realistic quantum networks with
    multi-dimensional period. Some numerical examples for the Schrödinger
    operator on a one-dimensional graph with a 2-dimensional rectangular
    period are presented.
rv: Petru A. Cojuhari (Kraków)