This monograph explains the speculation of quantum waveguides, that's, dynamics of quantum debris constrained to areas within the kind of tubes, layers, networks, and so forth. the focal point is on kin among the confinement geometry at the one hand and the spectral and scattering homes of the corresponding quantum Hamiltonians at the different. Perturbations of such operators, specifically, via exterior fields also are thought of. the quantity offers a special precis of twenty-five years of analysis job during this zone and exhibits ways that the speculation can increase further.
The ebook in all fairness self-contained. whereas it calls for a few broader mathematical physics historical past, the entire uncomplicated techniques are appropriately defined and proofs of such a lot theorems are given intimately, so there's no want for extra resources. and not using a parallel within the literature, the monograph by means of Exner and Kovarik courses the reader via this new and intriguing field.