Quantum Waveguides (Theoretical and Mathematical Physics) by Pavel Exner,Hynek Kovařík
By Pavel Exner,Hynek Kovařík
This monograph explains the speculation of quantum waveguides, that's, dynamics of quantum debris restrained to areas within the kind of tubes, layers, networks, and so on. the focal point is on family 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, particularly, through exterior fields also are thought of. the quantity offers a special precis of twenty-five years of study job during this zone and exhibits ways that the idea can enhance further.
The e-book in all fairness self-contained. whereas it calls for a few broader mathematical physics historical past, all of the easy innovations are correctly defined and proofs of so much theorems are given intimately, so there isn't any want for extra assets. 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.
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