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035   $a(DE-He213)978-3-030-30545-1
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100   $a20190911d2019      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aMicrolocal Analysis, Sharp Spectral Asymptotics and Applications IV $eMagnetic Schrödinger Operator 2 /$fby Victor Ivrii
205   $a1st ed. 2019.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019.
215   $a1 online resource (XXIII, 714 p. 1 illus.) 
311   $a3-030-30544-9 
320   $aIncludes bibliographical references and index.
327   $aNon-smooth theory and higher dimensions -- Irregular coefficients in dimensions 2, 3 -- Full-rank case -- Non-full-rank case -- 4D-Schrödinger with degenerating magnetic field -- 4D-Schrödinger Operator with the strong magnetic field -- Eigenvalue asymptotics for Schrödinger and dirac operators with the strong magnetic field -- Eigenvalue asymptotics: 2D case -- Eigenvalue asymptotics: 3D case.
330   $aThe prime goal of this monograph, which comprises a total of five volumes, is to derive sharp spectral asymptotics for broad classes of partial differential operators using techniques from semiclassical microlocal analysis, in particular, propagation of singularities, and to subsequently use the variational estimates in ?small? domains to consider domains with singularities of different kinds. In turn, the general theory (results and methods developed) is applied to the Magnetic Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.
606   $aMathematical analysis
606   $aAnalysis (Mathematics)
606   $aMathematical physics
606   $aAnalysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12007
606   $aMathematical Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/M35000
615  0$aMathematical analysis.
615  0$aAnalysis (Mathematics).
615  0$aMathematical physics.
615 14$aAnalysis.
615 24$aMathematical Physics.
676   $a515
700   $aIvrii$b Victor$4aut$4http://id.loc.gov/vocabulary/relators/aut$0478877
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910349320403321
996   $aMicrolocal Analysis, Sharp Spectral Asymptotics and Applications IV$92510587
997   $aUNINA