Microlocal Analysis, Sharp Spectral Asymptotics and Applications I
Semiclassical Microlocal Analysis and Local and Microlocal Semiclassical Asymptotics
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Beschreibung
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 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.
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 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.
Research monograph for researchers and graduate students in Mathematics and Mathematical Physics Most comprehensive work about the topic Use of technique, developed by the author during more than 40 years
Autor*in
Victor Ivrii
Themen in »Microlocal Analysis, Sharp Spectral Asymptotics and Applications I«
Microlocal Analysis Propagation of Singularities Sharp Spectral Asymptotics Schrodinger Operator Ground State Energy