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Titlebook: Quasiclassical Methods; Jeffrey Rauch,Barry Simon Book 1997 Springer Science+Business Media New York 1997 Eigenvalue.calculus.differential

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发表于 2025-3-21 18:01:00 | 显示全部楼层 |阅读模式
书目名称Quasiclassical Methods
编辑Jeffrey Rauch,Barry Simon
视频video
丛书名称The IMA Volumes in Mathematics and its Applications
图书封面Titlebook: Quasiclassical Methods;  Jeffrey Rauch,Barry Simon Book 1997 Springer Science+Business Media New York 1997 Eigenvalue.calculus.differential
描述This IMA Volume in Mathematics and its Applications QUASICLASSICAL METHODS is based on the proceedings of a very successful one-week workshop with the same title, which was an integral part of the 1994-1995 IMA program on "Waves and Scattering." We would like to thank Jeffrey Rauch and Barry Simon for their excellent work as organizers of the meeting. We also take this opportunity to thank the National Science Foun­ dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE There are a large number of problems where qualitative features of a partial differential equation in an appropriate regime are determined by the behavior of an associated ordinary differential equation. The example which gives the area its name is the limit of quantum mechanical Hamil­ tonians (Schrodinger operators) as Planck‘s constant h goes to zero, which is determined by the corresponding classical mechanical system. A sec­ ond example is linear wave equations with highly oscillatory initial data. The solutions are described by geometric optics whose centerpiece are rays which are solutio
出版日期Book 1997
关键词Eigenvalue; calculus; differential operator; distribution; energy; molecule; operator; pseudodifferential o
版次1
doihttps://doi.org/10.1007/978-1-4612-1940-8
isbn_softcover978-1-4612-7349-3
isbn_ebook978-1-4612-1940-8Series ISSN 0940-6573 Series E-ISSN 2198-3224
issn_series 0940-6573
copyrightSpringer Science+Business Media New York 1997
The information of publication is updating

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Semi-Classical Methods with Emphasis on Coherent Statestained by using coherent states. The goal was not to be by any mean exhaustive but rather to focus on applications susceptible to be related to some new -both numerical and experimental-recent results in quantum mechanics, with emphasis on the situations where the underlying classical system is chao
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On the Asymptotic Distribution of Eigenvalues in Gapsvalues.of the Dirichlet Laplacian -△ on an open, bounded domain Ω ⊂ R.: If .(λ) denotes the number of eigenvalues .. < λ, then .under mild regularity assumptions on the boundary δΩ here ..is a universal constant which depends only on the dimension ..
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Lieb-Thirring Inequalities for the Pauli Operator in Three Dimensionsα.α.) is a vector-potential, B = (.., .., ..) = rot a is the magnetic field and Σ is the vector of the 2 x 2 Pauli matrices σ., σ., σ. (see[.]). As seen from (1.1), the operator . is non-negative. If one perturbs it by a real-valued function . (electric potential) decreasing at infinity, then the re
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Semiclassical Analysis for the Schrödinger Operator with Magnetic Wells (After R. Montgomery, B. Hele semi-classical sense, of the ground state energy for the Schrödinger operator with a magnetic field. We consider the case when the locus of the minima of the intensity of the magnetic field is compact and our study is sharper when this locus is an hypersurface or a finite union of points.
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