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Integrable Hamiltonian systems and spectral theory (Paperback) Loot Price: R346
Discovery Miles 3 460
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Integrable Hamiltonian systems and spectral theory (Paperback): Jurgen Moser

Integrable Hamiltonian systems and spectral theory (Paperback)

Jurgen Moser

Series: Publications of the Scuola Normale Superiore

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Loot Price R346 Discovery Miles 3 460

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These notes are based on six Fermi Lectures held at the Scuola Normale Superiore in Pisa in March and April 1981. The topics treated depend on basic concepts of classical mechanics, elementary geometry, complex analysis as well as spectral theory and are meant for mathematicians and theoretical physicists alike. These lectures weave together a number of threads from various fields of mathematics impinging on the subject of inverse spectral theory. I did not try to give an overview over this fast moving subject but rather tie various aspects together by one guiding theme: the construction of all potentials for the one-dimensional Schrodinger equation which gives rise to finite band potentials, which is done by reducing it to solving a system of differential equations. In fact, we will see that the problem of finding all almost periodic potentials having finitely many intervals as its spectrum is equivalent to the study of the geodesics on an ellipsoid. To make this connection clear we have carried together several facts from classical mechanics and from spectral theory and we give a self-contained exposition of the construction of these finite band potentials."

General

Imprint: Scuola Normale Superiore
Country of origin: Italy
Series: Publications of the Scuola Normale Superiore
Release date: October 1983
First published: 1983
Authors: Jurgen Moser
Dimensions: 240 x 170 x 7mm (L x W x T)
Format: Paperback
Pages: 84
ISBN-13: 978-88-7642-252-2
Categories: Books > Science & Mathematics > Mathematics
Books > Science & Mathematics > Physics
Books > Science & Mathematics > Mathematics > Applied mathematics
Books > Science & Mathematics > Physics > General
Books > Science & Mathematics > Mathematics > Applied mathematics > General
LSN: 88-7642-252-8
Barcode: 9788876422522

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