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Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268)

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Description:Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKB-method, stationary phase and h-pseudodifferential operators. The applications include results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrodinger operators appearing in solid state physics. No previous specialized knowledge in quantum mechanics or microlocal analysis is assumed, and only general facts about spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry belong to the prerequisites. This book is addressed to researchers and graduate students in mathematical analysis, as well as physicists who are interested in rigorous results. A fairly large fraction can be (and has been) covered in a one semester course.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268). To get started finding Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268), you are right to find our website which has a comprehensive collection of manuals listed.
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ISBN: 0521665442

Description: Semiclassical approximation addresses the important relationship between quantum and classical mechanics. There has been a very strong development in the mathematical theory, mainly thanks to methods of microlocal analysis. This book develops the basic methods, including the WKB-method, stationary phase and h-pseudodifferential operators. The applications include results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrodinger operators appearing in solid state physics. No previous specialized knowledge in quantum mechanics or microlocal analysis is assumed, and only general facts about spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry belong to the prerequisites. This book is addressed to researchers and graduate students in mathematical analysis, as well as physicists who are interested in rigorous results. A fairly large fraction can be (and has been) covered in a one semester course.We have made it easy for you to find a PDF Ebooks without any digging. And by having access to our ebooks online or by storing it on your computer, you have convenient answers with Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268). To get started finding Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268), you are right to find our website which has a comprehensive collection of manuals listed.
Our library is the biggest of these that have literally hundreds of thousands of different products represented.

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Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268)

Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series, Series Number 268)

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