04086nam 22007695 450 991073697960332120200701171012.03-319-18576-410.1007/978-3-319-18576-7(CKB)3710000000416836(EBL)2096889(SSID)ssj0001501689(PQKBManifestationID)11844015(PQKBTitleCode)TC0001501689(PQKBWorkID)11446287(PQKB)11403115(DE-He213)978-3-319-18576-7(MiAaPQ)EBC2096889(PPN)186030584(EXLCZ)99371000000041683620150531d2015 u| 0engur|n|---|||||txtccrQuantum Waveguides /by Pavel Exner, Hynek Kovařík1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (398 p.)Theoretical and Mathematical Physics,1864-5879Description based upon print version of record.3-319-18575-6 Includes bibliographical references and index.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.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.Theoretical and Mathematical Physics,1864-5879PhysicsDifferential equationsQuantum theoryMathematical physicsOperator theoryMathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Ordinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Quantum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19080Theoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Operator Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M12139Physics.Differential equations.Quantum theory.Mathematical physics.Operator theory.Mathematical Methods in Physics.Ordinary Differential Equations.Quantum Physics.Theoretical, Mathematical and Computational Physics.Operator Theory.530.12Exner Pavelauthttp://id.loc.gov/vocabulary/relators/aut46652Kovařík Hynekauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910736979603321Quantum Waveguides3424543UNINA