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Collects papers from talks given at QMath11 - Mathematical Results in Quantum Physics, which was held in Hradec Kralove, September 2010.

Quantum theory --- Mathematical physics --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Physics --- Mechanics --- Thermodynamics --- Mathematics

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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.

Physics. --- Mathematical Methods in Physics. --- Ordinary Differential Equations. --- Quantum Physics. --- Theoretical, Mathematical and Computational Physics. --- Operator Theory. --- Operator theory. --- Differential Equations. --- Quantum theory. --- Mathematical physics. --- Physique --- Théorie des opérateurs --- Théorie quantique --- Physique mathématique --- Physics --- Physical Sciences & Mathematics --- Physics - General --- Quantum theory --- Wave mechanics. --- Wave guides. --- Mathematical models. --- Waveguides --- Quantum dynamics --- Quantum mechanics --- Quantum physics --- Differential equations. --- Quantum physics. --- Electric conductors --- Electric waves --- Electromagnetic waves --- Gyrators --- Microwave transmission lines --- Radio --- Transducers --- Electrodynamics --- Matrix mechanics --- Mechanics --- Molecular dynamics --- Quantum statistics --- Waves --- Thermodynamics --- Equipment and supplies --- 517.91 Differential equations --- Differential equations --- Physical mathematics --- Functional analysis --- Mathematics --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics

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Quantum theory --- Congresses --- Dynamics --- Schrödinger operator --- 530.145 <063> --- 530.145 <063> Quantum theory--Congressen --- Quantum theory--Congressen --- Operator, Schrödinger --- Differential operators --- Schrödinger equation

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Quantum theory --- Congresses --- Dynamics --- Congresses

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Quantum theory --- Mathematical physics