Special Session 134: Recent advances in wavelet analysis, PDEs and dynamical systems - part II
Generalized eigenvalue problem of quantum walks in 1-dimension
Kazuyuki Wada
Hokkaido University of Education Japan
Co-Author(s): Masaya Maeda, Akito Suzuki
Abstract:
This talk is concerned with the discrete-time quantum walks in 1-dimension. This model is corresponding to the space-time discretized Dirac equation. We consider the generalized eigenvalue problem under long-range perturbations and construct Jost solutions. After that, we apply it to spectral theory.