LEADER 02633nam 22004695a 450 001 9910155397103321 005 20161205234500.0 010 $a3-03719-669-6 024 70$a10.4171/169 035 $a(CKB)3710000000974732 035 $a(CH-001817-3)212-161205 035 $a(PPN)197530788 035 $a(EXLCZ)993710000000974732 100 $a20161205j20170101 fy 0 101 0 $aeng 135 $aurnn|mmmmamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBound States of the Magnetic Schro?dinger Operator$b[electronic resource] /$fNicolas Raymond 210 3 $aZuerich, Switzerland $cEuropean Mathematical Society Publishing House$d2017 215 $a1 online resource (394 pages) 225 0 $aEMS Tracts in Mathematics (ETM)$v27 311 $a3-03719-169-4 330 $aThis book is a synthesis of recent advances in the spectral theory of the magnetic Schro?dinger operator. It can be considered a catalog of concrete examples of magnetic spectral asymptotics. Since the presentation involves many notions of spectral theory and semiclassical analysis, it begins with a concise account of concepts and methods used in the book and is illustrated by many elementary examples. Assuming various points of view (power series expansions, Feshbach-Grushin reductions, WKB constructions, coherent states decompositions, normal forms) a theory of Magnetic Harmonic Approximation is then established which allows, in particular, accurate descriptions of the magnetic eigenvalues and eigenfunctions. Some parts of this theory, such as those related to spectral reductions or waveguides, are still accessible to advanced students while others (e.g., the discussion of the Birkhoff normal form and its spectral consequences, or the results related to boundary magnetic wells in dimension three) are intended for seasoned researchers. 606 $aDifferential equations$2bicssc 606 $aMathematical logic$2bicssc 606 $aPartial differential equations$2msc 606 $aCalculus of variations and optimal control; optimization$2msc 606 $aQuantum theory$2msc 615 07$aDifferential equations 615 07$aMathematical logic 615 07$aPartial differential equations 615 07$aCalculus of variations and optimal control; optimization 615 07$aQuantum theory 686 $a35-xx$a49-xx$a81-xx$2msc 700 $aRaymond$b Nicolas$01071334 801 0$bch0018173 906 $aBOOK 912 $a9910155397103321 996 $aBound States of the Magnetic Schro?dinger Operator$92566821 997 $aUNINA