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Main subject categories: • Mathematical analysis • Spectral theory and eigenvalue problems for partial differential equations • Pseudodifferential operators and other generalizations of partial differential operators • Applications of quantum theory to specific physical systems • Mathematical physicsMathematics Subject Classification (2010): • 35P20 Asymptotic distributions of eigenvalues in context of PDEs • 35S05 Pseudodifferential operators as generalizations of partial differential operators • 35S30 Fourier integral operators applied to PDEs • 81V70 Many-body theory; quantum Hall effectThe 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 methods developed in

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Author

Victor Ivrii

Publisher

Springer, Springer Nature Switzerland AG

Published

2019

Language

EN

ISBN

9783030305635

Category

nonfiction

Subjects

Science, Mathematics, Physics