Quantum Waveguides von Pavel Exner | ISBN 9783319185767

Quantum Waveguides

von Pavel Exner und Hynek Kovařík
Mitwirkende
Autor / AutorinPavel Exner
Autor / AutorinHynek Kovařík
Buchcover Quantum Waveguides | Pavel Exner | EAN 9783319185767 | ISBN 3-319-18576-4 | ISBN 978-3-319-18576-7
Leseprobe
“The well-written and thorough monograph by Exner and Kovařík contains an excellent treatment of developments in the flourishing subject of quantum waveguides. … The monograph is also highly recommended for those with a wider interest in quantum mechanics, since seeing how the concepts and mathematical methods of quantum mechanics need to be adapted to the case of waveguides is an engaging and instructive way to deepen one’s understanding of them.” (Evans M. Harrell II, Bulletin of the American Mathematical Society, Vol. 55 (2), April, 2018)

Quantum Waveguides

von Pavel Exner und Hynek Kovařík
Mitwirkende
Autor / AutorinPavel Exner
Autor / AutorinHynek Kovařík

This monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty-five years of research activity in this area and indicates ways in which the theory can develop further.

The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.