Inverse Nodal Problems: Finding The Potential From Nodal Lines

Hald, Ole H.; McLaughlin, Joyce R.

ISBN 10: 0821804863 / ISBN 13: 9780821804865

Verlag: Amer Mathematical Society, 1996

This is a Brand-new US Edition. This Item may be shipped from US or any other country as we have multiple locations worldwide. Bestandsnummer des Verkäufers ABNR-181446

Inhaltsangabe:

Can you hear the shape of a drum? No. In this book, the authors ask, 'Can you see the force on a drum?' Hald and McLaughlin prove that for almost all rectangles the potential in a Schrodinger equation is uniquely determined (up to an additive constant) by a subset of the nodal lines. They derive asymptotic expansions for a rich set of eigenvalues and eigenfunctions. Using only the nodal line positions, they establish an approximate formula for the potential and give error bounds. The theory is appropriate for a graduate topics course in analysis with emphasis on inverse problems. The formulas that solve the inverse problem are very simple and easy to state. Nodal Line Patterns-Chaldni Patterns - are shown to be a rich source of data for the inverse problem. The data in this book is used to establish a simple formula that is the solution of an inverse problem.

Bibliografische Details

Titel: Inverse Nodal Problems: Finding The ...
Verlag: Amer Mathematical Society
Erscheinungsdatum: 1996
Einband: Softcover
Zustand: New