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Microlocal Analysis, Sharp Spectral ...
~
Ivrii, Victor.
Microlocal Analysis, Sharp Spectral Asymptotics and Applications V = Applications to Quantum Theory and Miscellaneous Problems /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Microlocal Analysis, Sharp Spectral Asymptotics and Applications V/ by Victor Ivrii.
Reminder of title:
Applications to Quantum Theory and Miscellaneous Problems /
Author:
Ivrii, Victor.
Description:
XXIV, 739 p. 1 illus.online resource. :
Contained By:
Springer Nature eBook
Subject:
Mathematical analysis. -
Online resource:
https://doi.org/10.1007/978-3-030-30561-1
ISBN:
9783030305611
Microlocal Analysis, Sharp Spectral Asymptotics and Applications V = Applications to Quantum Theory and Miscellaneous Problems /
Ivrii, Victor.
Microlocal Analysis, Sharp Spectral Asymptotics and Applications V
Applications to Quantum Theory and Miscellaneous Problems /[electronic resource] :by Victor Ivrii. - 1st ed. 2019. - XXIV, 739 p. 1 illus.online resource.
No magnetic field case -- The case of external magnetic field -- The case of self-generated magnetic field,- The case of combined magnetic field -- Articles on asymptotics -- 100 years of Weyl's law.
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.
ISBN: 9783030305611
Standard No.: 10.1007/978-3-030-30561-1doiSubjects--Topical Terms:
527926
Mathematical analysis.
LC Class. No.: QA299.6-433
Dewey Class. No.: 515
Microlocal Analysis, Sharp Spectral Asymptotics and Applications V = Applications to Quantum Theory and Miscellaneous Problems /
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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 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.
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