Microlocal Analysis, Sharp Spectral Asymptotics and Applications III : Magnetic Schrödinger Operator 1
|概要||The 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 semiclassic...al 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 and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3.続きを見る|
|目次||Smooth theory in dimensions 2 and 3
2D degenerating magnetic Schrödinger operator
2D magnetic Schrödinger near boundary
Magnetic Schrödinger operator: short loops
Dirac operator with strong magnetic field.
|本文を見る||Full text available from Springer Mathematics and Statistics eBooks 2019 English/International|