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Titlebook: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III; Magnetic Schrödinger Victor Ivrii Book 2019 Springer Nature Switzerla

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发表于 2025-3-21 17:59:04 | 显示全部楼层 |阅读模式
书目名称Microlocal Analysis, Sharp Spectral Asymptotics and Applications III
副标题Magnetic Schrödinger
编辑Victor Ivrii
视频video
概述Research monograph for researchers and graduate students in Mathematics and Mathematical Physics.Most comprehensive work about the topic.Use of technique, developed by the author during more than 40 y
图书封面Titlebook: Microlocal Analysis, Sharp Spectral Asymptotics and Applications III; Magnetic Schrödinger Victor Ivrii Book 2019 Springer Nature Switzerla
描述.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 and II are applied to the Schrödinger and Dirac operators in smooth settings in dimensions 2 and 3..
出版日期Book 2019
关键词Microlocal Analysis; Propagation of Singularities; Sharp Spectral Asymptotics; Schrodinger Operator; Gro
版次1
doihttps://doi.org/10.1007/978-3-030-30537-6
isbn_softcover978-3-030-30539-0
isbn_ebook978-3-030-30537-6
copyrightSpringer Nature Switzerland AG 2019
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Victor IvriiResearch monograph for researchers and graduate students in Mathematics and Mathematical Physics.Most comprehensive work about the topic.Use of technique, developed by the author during more than 40 y
发表于 2025-3-22 15:36:41 | 显示全部楼层
Dirac Operator with the Strong Magnetic Fieldized) Schrödinger-Pauli operators as well. The results and structure of this chapter are similar to those of Chapter 13: Sections 17.1–17.4 and Sections 17.6,17.7 correspond to Sections 13.2–13.5 and Sections 13.6 and 13.8 respectively.
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https://doi.org/10.1007/978-3-030-30537-6Microlocal Analysis; Propagation of Singularities; Sharp Spectral Asymptotics; Schrodinger Operator; Gro
发表于 2025-3-23 02:41:10 | 显示全部楼层
Standard Theory in Dimensions 2 and 3In this chapter we analyze 2- and 3-dimensional Schrödinger operators with the strong magnetic field; now we have not only a small parameter . but a large parameter . (a coupling constant with the magnetic field or simply a magnetic parameter); moreover, a natural condition . arises.
发表于 2025-3-23 09:17:12 | 显示全部楼层
-Schrödinger Operator with the Strong Degenerating Magnetic FieldIn this chapter we consider .-Schrödinger operator (13.2.1) with the strong magnetic field like in the previous chapter albeit now magnetic intensity . degenerates along smooth line and the degeneration is precisely of order . with .. Surely, we are most interested in the generic case ..
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