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Titlebook: Microlocal Analysis, Sharp Spectral Asymptotics and Applications I; Semiclassical Microl Victor Ivrii Book 2019 Springer Nature Switzerland

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发表于 2025-3-21 18:41:39 | 显示全部楼层 |阅读模式
书目名称Microlocal Analysis, Sharp Spectral Asymptotics and Applications I
副标题Semiclassical Microl
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 I; Semiclassical Microl Victor Ivrii Book 2019 Springer Nature Switzerland
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 general microlocal semiclassical approach is developed, and microlocal and local semiclassical spectral asymptotics are derived..
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/10.1007/978-3-030-30557-4
isbn_softcover978-3-030-30559-8
isbn_ebook978-3-030-30557-4
copyrightSpringer Nature Switzerland AG 2019
The information of publication is updating

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General Theory in the Interior of the Domaint to the Planck constant . → +0 only; namely, in this chapter we are interested in the asymptotics of the .(., ., .) which is the restriction to the diagonal of the Schwartz kernel of the spectral projector, and the spatial means of .(., ., .).
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Operators in the Interior of Domain. Esoteric Theoryl asymptotics for families of commuting operators (general or scalar). Then in Section 6.2 we consider scalar operators with periodic Hamiltonian flow of the principal symbol (or some perturbations of such operators) and under certain conditions we obtain spectral asymptotics with highly accurate re
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Standard Local Semiclassical Spectral Asymptotics near the Boundarye consider the case when our (unit) “Ball of Light” intersects the boundary of the domain in a part of the boundary which is smooth. This chapter consists of five sections mainly matching to the corresponding sections of Chapter 4.
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Victor Ivriises on the navigation enhancement by collaboration in swarm rather than ground infrastructure, which exploit potentialities of swarm in GNSS restricted environment. .Although unmanned swarm is receiving greater attention, both through theoretical research and through increasing mention in the indust
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Victor Ivrii within the Chinese authoritarian regime. Urban redevelopment is chosen as the research object because it is significant and complex enough to be a typical case in Chinese economic growth. The main problem in urban redevelopment is the issue of social cooperation among different stakeholders; it is
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