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＜電子ブック＞
Microlocal Analysis, Sharp Spectral Asymptotics and Applications V : Applications to Quantum Theory and Miscellaneous Problems / by Victor Ivrii

版	1st ed. 2019.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2019
大きさ	XXIV, 739 p. 1 illus : online resource
著者標目	*Ivrii, Victor author SpringerLink (Online service)
件　名	LCSH:Mathematical analysis LCSH:Mathematical physics FREE:Analysis FREE:Mathematical Physics
一般注記	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 HTTP:URL=https://doi.org/10.1007/978-3-030-30561-1

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