LEADER 02771nam 22005175 450 001 9910349320303321 005 20200706190710.0 010 $a3-030-30561-9 024 7 $a10.1007/978-3-030-30561-1 035 $a(CKB)4100000009273656 035 $a(DE-He213)978-3-030-30561-1 035 $a(MiAaPQ)EBC5896963 035 $a(PPN)269146652 035 $a(EXLCZ)994100000009273656 100 $a20190913d2019 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 V $eApplications to Quantum Theory and Miscellaneous Problems /$fby Victor Ivrii 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (XXIV, 739 p. 1 illus.) 311 $a3-030-30560-0 327 $aNo magnetic field case -- The case of external magnetic field -- The case of self-generated magnetic field,- The case of combined magnetic field -- Articles on asymptotics -- 100 years of Weyl's law. 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, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems. 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 $a9910349320303321 996 $aMicrolocal Analysis, Sharp Spectral Asymptotics and Applications V$92521535 997 $aUNINA