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010   $a3-319-18576-4
024 7 $a10.1007/978-3-319-18576-7
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035   $a(EBL)2096889
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035   $a(PQKBTitleCode)TC0001501689
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035   $a(DE-He213)978-3-319-18576-7
035   $a(MiAaPQ)EBC2096889
035   $a(PPN)186030584
035   $a(EXLCZ)993710000000416836
100   $a20150531d2015      u|         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aQuantum Waveguides /$fby Pavel Exner, Hynek Kova?ík
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (398 p.)
225 1 $aTheoretical and Mathematical Physics,$x1864-5879
300   $aDescription based upon print version of record.
311   $a3-319-18575-6 
320   $aIncludes bibliographical references and index.
327   $aGeometrically 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.
330   $aThis monograph explains the theory of quantum waveguides, that is, dynamics of quantum particles confined to regions in the form of tubes, layers, networks, etc. The focus is on relations between the confinement geometry on the one hand and the spectral and scattering properties of the corresponding quantum Hamiltonians on the other. Perturbations of such operators, in particular, by external fields are also considered. The volume provides a unique summary of twenty five years of research activity in this area and indicates ways in which the theory can develop further. The book is fairly self-contained. While it requires some broader mathematical physics background, all the basic concepts are properly explained and proofs of most theorems are given in detail, so there is no need for additional sources. Without a parallel in the literature, the monograph by Exner and Kovarik guides the reader through this new and exciting field.
410  0$aTheoretical and Mathematical Physics,$x1864-5879
606   $aPhysics
606   $aDifferential equations
606   $aQuantum theory
606   $aMathematical physics
606   $aOperator theory
606   $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013
606   $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147
606   $aQuantum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19080
606   $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005
606   $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139
615  0$aPhysics.
615  0$aDifferential equations.
615  0$aQuantum theory.
615  0$aMathematical physics.
615  0$aOperator theory.
615 14$aMathematical Methods in Physics.
615 24$aOrdinary Differential Equations.
615 24$aQuantum Physics.
615 24$aTheoretical, Mathematical and Computational Physics.
615 24$aOperator Theory.
676   $a530.12
700   $aExner$b Pavel$4aut$4http://id.loc.gov/vocabulary/relators/aut$046652
702   $aKova?ík$b Hynek$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910736979603321
996   $aQuantum Waveguides$93424543
997   $aUNINA