LEADER 02708nam 22005295 450 001 9910349320703321 005 20200706210439.0 010 $a3-030-30557-0 024 7 $a10.1007/978-3-030-30557-4 035 $a(CKB)4100000009273652 035 $a(DE-He213)978-3-030-30557-4 035 $a(MiAaPQ)EBC5896697 035 $a(PPN)26914563X 035 $a(EXLCZ)994100000009273652 100 $a20190912d2019 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 I $eSemiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics /$fby Victor Ivrii 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XLIX, 889 p. 1 illus.) 311 $a3-030-30556-2 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Semiclassical micrological analysis -- Local and microlocal semiclassical spectral asymptotics. 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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived. 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 $a9910349320703321 996 $aMicrolocal Analysis, Sharp Spectral Asymptotics and Applications I$92546594 997 $aUNINA