Quantum Waveguides

Pavel Exner is a Czech mathematical physicist. Hynek Kovařík is an Assistant Professor in Mathematics at Università degli studi di Brescia. His areas of research cover problems in spectral theory of differential operators and functional analysis which arise from quantum physics.

• Geometrically Induced Bound States.- Transport in locally perturbed tubes.- More about the waveguide spectra.- Dirichlet Layers.- Point Perturbations.- Weakly Coupled Bound States.- External Fields and Magnetic Transport.- Graph Limits of Thin Network Systems.- Periodic and Random Systems.- Leaky Waveguides.

“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)