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Microlocal analysis, sharp spectral ...

Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Microlocal analysis, sharp spectral asymptotics and applications.by Victor Ivrii.
其他題名:	Magnetic Schrodinger operator 2
作者:	Ivrii, Victor.
出版者:	Cham :Springer International Publishing :2019.
面頁冊數:	xxiii, 714 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Microlocal analysis.
電子資源:	https://doi.org/10.1007/978-3-030-30545-1
ISBN:	9783030305451$q(electronic bk.)

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2
Ivrii, Victor.

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2[electronic resource] /Magnetic Schrodinger operator 2by Victor Ivrii. - Cham :Springer International Publishing :2019. - xxiii, 714 p. :ill., digital ;24 cm.

Non-smooth theory and higher dimensions -- Irregular coefficients in dimensions 2, 3 -- Full-rank case -- Non-full-rank case -- 4D-Schrodinger with degenerating magnetic field -- 4D-Schrodinger Operator with the strong magnetic field -- Eigenvalue asymptotics for Schrodinger and dirac operators with the strong magnetic field -- Eigenvalue asymptotics: 2D case -- Eigenvalue asymptotics: 3D case.

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 Schrodinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrodinger and Dirac operators in non-smooth settings and in higher dimensions.

ISBN: 9783030305451$q(electronic bk.)

Standard No.: 10.1007/978-3-030-30545-1doiSubjects--Topical Terms:

376869
Microlocal analysis.

LC Class. No.: QA299.6 / .I975 2019

Dewey Class. No.: 515.7242

Microlocal analysis, sharp spectral asymptotics and applications.IV,Magnetic Schrodinger operator 2
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520 $a 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 Schrodinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrodinger and Dirac operators in non-smooth settings and in higher dimensions.
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