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

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9780521665445: Spectral Asymptotics in the Semi-Classical Limit (London Mathematical Society Lecture Note Series)

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. In recent years mathematical theory has undergone significant growth, mainly due to microlocal analysis techniques. This volume develops the basic methods of the theory, including the WKB-method, stationary phase and h-pseudodifferential operators. The authors employ the systematic use of a Cauchy formula that simplifies the functional calculus of pseudodifferential operators. The applications described include recent results on the tunnel effect, the asymptotics of eigenvalues in relation to classical trajectories and normal forms, plus slow perturbations of periodic Schrödinger operators appearing in solid state physics. The text assumes no previous specialized knowledge in quantum mechanics or microlocal analysis, and only general knowledge of spectral theory in Hilbert space, distributions, Fourier transforms and some differential geometry.

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Book Description :

Semiclassical approximation addresses the important relationship between quantum and classical mechanics. This book presents the basic methods in the light of recent developments, including the WKB-method, stationary phase and h-pseudodifferential operators. Applications include the tunnel effect, asymptotics of eigenvalues, plus slow perturbations of periodic Schrödinger operators in solid state physics. 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.

Review :

"Researchers and graduate students in mathematical analysis are the intended readership, but anyone with an interest in the current state of the mathematics of quantum mechanics will get a lot out of this book." Proceedings of the Edinburgh Mathematical Society

"The authors have managed to write a very useful, clear, and readable book of quite moderate size, applying modern sophisticated methods in order to attack successfully some important, interesting, and difficult problems of contemporary mathematical physics." Mathematical Reviews

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Dimassi, M.
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Description du livre Cambridge University Press 2007-01, 2007. État : New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. N° de réf. du libraire NU-LSI-07008010

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M. Dimassi, Johannes Sjostrand
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. État : New. Language: English . Brand New Book ***** Print on Demand *****. 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. N° de réf. du libraire AAV9780521665445

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M. Dimassi, Johannes Sjostrand
Edité par CAMBRIDGE UNIVERSITY PRESS, United Kingdom (2007)
ISBN 10 : 0521665442 ISBN 13 : 9780521665445
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. État : New. Language: English . Brand New Book ***** Print on Demand *****.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. N° de réf. du libraire AAV9780521665445

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M. Dimassi, Johannes Sjostrand
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Description du livre Cambridge University Press. Paperback. État : new. BRAND NEW PRINT ON DEMAND., Spectral Asymptotics in the Semi-Classical Limit, M. Dimassi, Johannes Sjostrand, 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. N° de réf. du libraire B9780521665445

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Dimassi, M.
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Description du livre Cambridge University Press, 2016. Paperback. État : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du libraire ria9780521665445_lsuk

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Dimassi, M.
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Description du livre Cambridge University Press, 1999. PAP. État : New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire LQ-9780521665445

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Dimassi, Mouez;Sjostrand, J.;Sjostrand, Johannes
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Description du livre Spain: Cambridge Univ Pr, 2000. Soft cover. État : New. Ship out 1-2 business day,Brand new,US edition, Free tracking number usually 2-4 biz days delivery to worldwide Same shipping fee with US, Canada,Europe country, Australia, item will ship out from either LA or Asia,ht. N° de réf. du libraire ABE-7652867966

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M. DIMASSI , J. SJOSTRAND
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Description du livre 1999. Paperback. État : NEW. 9780521665445 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. N° de réf. du libraire HTANDREE0468951

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Description du livre Cambridge University Press, 1999. PAP. État : New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IQ-9780521665445

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M. Dimassi; J. Sjostrand
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Description du livre Cambridge University Press, 1999. Paperback. État : New. book. N° de réf. du libraire 0521665442

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