Radially isospectral annular membranes

By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uni...

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Veröffentlicht in:	IMA journal of applied mathematics 2006-08, Vol.71 (4), p.583-589
1. Verfasser:	GOTTLIEB, H. P. W
Format:	Artikel
Sprache:	eng
Schlagworte:	annular membranes circular membranes density Exact sciences and technology Fundamental areas of phenomenology (including applications) inhomogeneous isospectral Mathematical analysis Mathematics Physics Sciences and techniques of general use Solid mechanics Special functions Structural and continuum mechanics Theory and numerical methods
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Beschreibung
Zusammenfassung:	By utilizing transformations of both the radial coordinate and the radial wave function, densities of annular membranes which are radially isospectral to any given radial density are produced. In particular, new families of annular membrane densities are found which are radially isospectral to a uniform membrane. Some new generalizations for completely isospectral annular membranes (including angle-dependent densities) are also given.
ISSN:	0272-4960 1464-3634
DOI:	10.1093/imamat/hxl004