These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
These lecture notes are intended as a non-technical overview of scattering theory. The point of view adopted throughout is that scattering theory provides a parameterization of the continuous spectrum of an elliptic operator on a complete manifold with uniform structure at infinity. The simple and fundamental case of the Laplacian or Euclidean space is described in the first two lectures to introduce the basic framework of scattering theory. In the next three lectures various results on Euclidean scattering, and the methods used to prove them, are outlined. In the last three lectures these ideas are extended to non-Euclidean settings. These lecture notes will be of interest to graduate students and researchers in the field of applied mathematics.
' ... overall the book is of interest for students and researchers if they wish to obtain an overview of this theory.' O. Röschel, International Mathematical News
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Etat : New. These lecture notes are intended as a non-technical overview of scattering theory. Series: Stanford Lectures: Distinguished Visiting Lecturers in Mathematics S. Num Pages: 132 pages, 13 b/w illus. BIC Classification: PBK; PBT. Category: (P) Professional & Vocational. Dimension: 228 x 152 x 11. Weight in Grams: 367. . 1995. Illustrated. hardcover. . . . . N° de réf. du vendeur V9780521496735
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