國立虎尾科技大學 |

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV = Magnetic Schrödinger Operator 2 /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV/ by Victor Ivrii.
其他題名:	Magnetic Schrödinger Operator 2 /
作者:	Ivrii, Victor.
面頁冊數:	XXIII, 714 p. 1 illus.online resource. :
Contained By:	Springer Nature eBook
標題:	Mathematical analysis. -
電子資源:	https://doi.org/10.1007/978-3-030-30545-1
ISBN:	9783030305451

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV = Magnetic Schrödinger Operator 2 /
Ivrii, Victor.

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IVMagnetic Schrödinger Operator 2 /[electronic resource] :by Victor Ivrii. - 1st ed. 2019. - XXIII, 714 p. 1 illus.online resource.

Non-smooth theory and higher dimensions -- Irregular coefficients in dimensions 2, 3 -- Full-rank case -- Non-full-rank case -- 4D-Schrödinger with degenerating magnetic field -- 4D-Schrödinger Operator with the strong magnetic field -- Eigenvalue asymptotics for Schrödinger 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 Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.

ISBN: 9783030305451

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

527926
Mathematical analysis.

LC Class. No.: QA299.6-433

Dewey Class. No.: 515

Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV = Magnetic Schrödinger Operator 2 /
LDR:02520nam a22003975i 4500 001 1007424
003 DE-He213
005 20200706190753.0
007 cr nn 008mamaa
008 210106s2019 gw | s |||| 0|eng d
020 $a 9783030305451 $9 978-3-030-30545-1
024 7 $a 10.1007/978-3-030-30545-1 $2 doi
035 $a 978-3-030-30545-1
050 4 $a QA299.6-433
072 7 $a PBK $2 bicssc
072 7 $a MAT034000 $2 bisacsh
072 7 $a PBK $2 thema
082 0 4 $a 515 $2 23
100 1 $a Ivrii, Victor. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1301177
245 1 0 $a Microlocal Analysis, Sharp Spectral Asymptotics and Applications IV $h [electronic resource] : $b Magnetic Schrödinger Operator 2 / $c by Victor Ivrii.
250 $a 1st ed. 2019.
264 1 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2019.
300 $a XXIII, 714 p. 1 illus. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
505 0 $a Non-smooth theory and higher dimensions -- Irregular coefficients in dimensions 2, 3 -- Full-rank case -- Non-full-rank case -- 4D-Schrödinger with degenerating magnetic field -- 4D-Schrödinger Operator with the strong magnetic field -- Eigenvalue asymptotics for Schrödinger and dirac operators with the strong magnetic field -- Eigenvalue asymptotics: 2D case -- Eigenvalue asymptotics: 3D case.
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 Schrödinger operator, miscellaneous problems, and multiparticle quantum theory. In this volume the methods developed in Volumes I, II and III are applied to the Schrödinger and Dirac operators in non-smooth settings and in higher dimensions.
650 0 $a Mathematical analysis. $3 527926
650 0 $a Analysis (Mathematics). $3 1253570
650 0 $a Mathematical physics. $3 527831
650 1 4 $a Analysis. $3 669490
650 2 4 $a Mathematical Physics. $3 786661
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9783030305444
776 0 8 $i Printed edition: $z 9783030305468
776 0 8 $i Printed edition: $z 9783030305475
856 4 0 $u https://doi.org/10.1007/978-3-030-30545-1
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)