Spectral Asymptotics in the Semi-Classical Limit

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9780521665445: Spectral Asymptotics in the Semi-Classical Limit

Book by Dimassi M Sjostrand J

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Présentation de l'éditeur :

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 Schrödinger 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.

Revue de presse :

'… recommended to everyone, be it student or researcher, who is interested in semiclassical analysis.' Zentralblatt MATH

'This book is an excellent introduction to a modern rapidly developing subject which lies between mathematics and physics.' Yuri Safarov, Bulletin of the London Mathematical Society

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M Dimassi
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. 224 x 152 mm. Language: English . Brand New Book. 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 AAZ9780521665445

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M Dimassi
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ISBN 10 : 0521665442 ISBN 13 : 9780521665445
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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
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ISBN 10 : 0521665442 ISBN 13 : 9780521665445
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Description du livre CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2007. Paperback. État : New. 224 x 152 mm. Language: English . Brand New Book. 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 AAZ9780521665445

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Description du livre État : New. Bookseller Inventory # ST0521665442. N° de réf. du libraire ST0521665442

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Description du livre Cambridge University Press 1999-09-16, Cambridge, 1999. paperback. État : New. N° de réf. du libraire 9780521665445

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Description du livre Cambridge University Press. Paperback. État : new. BRAND NEW, 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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M Dimassi
Edité par Cambridge University Press (1999)
ISBN 10 : 0521665442 ISBN 13 : 9780521665445
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Description du livre Cambridge University Press, 1999. PAP. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire GB-9780521665445

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M Dimassi
Edité par Cambridge University Press (1999)
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Description du livre Cambridge University Press, 1999. État : New. This book presents the basic methods and applications in semiclassical approximation in the light of developments. Series: London Mathematical Society Lecture Note Series. Num Pages: 240 pages, black & white illustrations. BIC Classification: PBK; PBT. Category: (P) Professional & Vocational. Dimension: 231 x 152 x 20. Weight in Grams: 370. . 1999. 1st Edition. Paperback. . . . . . N° de réf. du libraire V9780521665445

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Description du livre Paperback. État : New. Not Signed; 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 p. book. N° de réf. du libraire ria9780521665445_rkm

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Edité par Cambridge University Press (2010)
ISBN 10 : 0521665442 ISBN 13 : 9780521665445
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Description du livre Cambridge University Press, 2010. Paperback. État : New. Brand New Book. Shipping: Once your order has been confirmed and payment received, your order will then be processed. The book will be located by our staff, packaged and despatched to you as quickly as possible. From time to time, items get mislaid en route. If your item fails to arrive, please contact us first. We will endeavour to trace the item for you and where necessary, replace or refund the item. Please do not leave negative feedback without contacting us first. All orders will be dispatched within two working days. If you have any quesions please contact us. N° de réf. du libraire V9780521665445

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