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Microlocal analysis, sharp spectral asymptotics and applications. V, Applications to quantum theory and miscellaneous problems / Victor Ivrii.

9783030305611 (electronic book)
3030305619 (electronic book)
9783030305604

https://doi.org/10.1007/978-3-030-30561-1
https://doi.org/10.1007/978-3-030-30

Cham : Springer, [2019]

©2019

English

1 online resource

10.1007/978-3-030-30561-1 doi
10.1007/978-3-030-30

QA299.6 .I87 2019eb

515/.7242

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 methods developed in Volumes I, II, III and IV are applied to multiparticle quantum theory (asymptotics of the ground state energy and related problems), and to miscellaneous spectral problems.

Includes bibliographical references and index.

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Online resource; title from PDF title page (SpringerLink, viewed September 24, 2019).

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