Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
著者
書誌事項
Semiclassical microlocal analysis and local and microlocal semiclassical asymptotics
(Microlocal analysis, sharp spectral asymptotics and applications, 1)
Springer, c2019
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注記
Includes bibliographical references (p. 801-872) and index
内容説明・目次
内容説明
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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived.
目次
Introduction.- Semiclassical micrological analysis.- Local and microlocal semiclassical spectral asymptotics.
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