Integrable Hamiltonian systems and spectral theory

Integrable Hamiltonian systems and spectral theory
Author :
Publisher : Edizioni della Normale
Total Pages : 0
Release :
ISBN-10 : 8876422528
ISBN-13 : 9788876422522
Rating : 4/5 (522 Downloads)

Book Synopsis Integrable Hamiltonian systems and spectral theory by : Jürgen Moser

Download or read book Integrable Hamiltonian systems and spectral theory written by Jürgen Moser and published by Edizioni della Normale. This book was released on 1983-10-01 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Schrödinger 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.


Integrable Hamiltonian systems and spectral theory Related Books

Integrable Hamiltonian systems and spectral theory
Language: en
Pages: 0
Authors: Jürgen Moser
Categories: Science
Type: BOOK - Published: 1983-10-01 - Publisher: Edizioni della Normale

GET EBOOK

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
The Chern Symposium 1979
Language: en
Pages: 258
Authors: W.-Y. Hsiang
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

This volume attests to the vitality of differential geometry as it probes deeper into its internal structure and explores ever widening connections with other s
Hamiltonian Systems and Their Integrability
Language: en
Pages: 172
Authors: Mich'le Audin
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

GET EBOOK

"This book presents some modern techniques in the theory of integrable systems viewed as variations on the theme of action-angle coordinates. These techniques i
Integrable Hamiltonian Hierarchies
Language: en
Pages: 645
Authors: Vladimir Gerdjikov
Categories: Science
Type: BOOK - Published: 2008-06-02 - Publisher: Springer Science & Business Media

GET EBOOK

This book presents a detailed derivation of the spectral properties of the Recursion Operators allowing one to derive all the fundamental properties of the soli
Magnetohydrodynamics and Spectral Theory
Language: en
Pages: 458
Authors: Alexander E. Lifshits
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

2 The linearized ideal MHO equations. . . . . . . . . . . . 204 3 Spectral problems corresponding to evolutionary problems . . 211 4 Stability of equilibrium co