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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV - Magnetic Schroedinger Operator 2 (Paperback, 1st ed. 2019)
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Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV - Magnetic Schroedinger Operator 2 (Paperback, 1st ed. 2019)
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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
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 Schroedinger operator, miscellaneous
problems, and multiparticle quantum theory. In this volume the
methods developed in Volumes I, II and III are applied to the
Schroedinger and Dirac operators in non-smooth settings and in
higher dimensions.
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