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Titlebook: Semi-Classical Analysis for the Schrödinger Operator and Applications; Bernard Helffer Book 1988 Springer-Verlag Berlin Heidelberg 1988 Po

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发表于 2025-3-21 18:39:23 | 显示全部楼层 |阅读模式
书目名称Semi-Classical Analysis for the Schrödinger Operator and Applications
编辑Bernard Helffer
视频video
丛书名称Lecture Notes in Mathematics
图书封面Titlebook: Semi-Classical Analysis for the Schrödinger Operator and Applications; Bernard Helffer Book 1988 Springer-Verlag Berlin Heidelberg 1988 Po
描述This introduction to semi-classical analysis is an extension of a course given by the author at the University of Nankai. It presents for some of the standard cases presented in quantum mechanics books a rigorous study of the tunneling effect, as an introduction to recent research work. The book may be read by a graduate student familiar with the classic book of Reed-Simon, and for some chapters basic notions in differential geometry. The mathematician will find here a nice application of PDE techniques and the physicist will discover the precise link between approximate solutions (B.K.W. constructions) and exact eigenfunctions (in every dimension). An application to Witten‘s approach for the proof of the Morse inequalities is given, as are recent results for the Schrödinger operator with periodic potentials.
出版日期Book 1988
关键词Potential; calculus; differential equation; minimum; quantum mechanics
版次1
doihttps://doi.org/10.1007/BFb0078115
isbn_softcover978-3-540-50076-6
isbn_ebook978-3-540-45913-2Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 1988
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Semi-Classical Analysis for the Schrödinger Operator and Applications
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王得到
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发表于 2025-3-22 11:21:46 | 显示全部楼层
Bernard Helfferr Abiturnote als Fall mit relativ erfolgreicher und Fall mit relativ schwieriger Schulkarriere unterschieden. Anschließend werden ihre Schulkarrieren rekonstruiert. Differenzielle Entwicklungen in der Sekundarstufe I im Umgang mit schulischem Misserfolg (Misserfolgsattribuierung, schulbezogene Hilfl
AMBI
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思想灵活
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是突袭
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发表于 2025-3-23 01:02:50 | 显示全部楼层
Bernard Helfferon, trying to bring about change by legal means such as writing letters to politicians and newspaper editors (Verba/Schlozman/Brady 1995), or through legal protest activities such as authorized demonstrations (Opp 1990; Useem 1998). Some choose to force social change through aggressive political pro
和谐
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发表于 2025-3-23 02:39:42 | 显示全部楼层
Bernard Helfferon, trying to bring about change by legal means such as writing letters to politicians and newspaper editors (Verba/Schlozman/Brady 1995), or through legal protest activities such as authorized demonstrations (Opp 1990; Useem 1998). Some choose to force social change through aggressive political pro
军火
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发表于 2025-3-23 06:22:25 | 显示全部楼层
Bernard Helfferdia and technologies, ‘things are better now’ for youth. At the same time, I also draw attention to the agency of young people who are often perceived as passive victims of these changes. In doing so, I aim to illuminate an important trend in Australian youth studies that interrogates the dominant r
不透明
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