Isospectral circular membranes
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A prescription for finding the densities of circular membranes which are isospectral to a uniform circular membrane is extended to cover isospectrality to any circular membrane density, thereby also revealing the underlying group-theoretical structure which is further elucidated. Membranes isospectral to radial-density membranes no longer possess the radial symmetry, and some examples are discussed.
© 2004 Institute of Physics. Reproduced in accordance with the copyright policy of the publisher. This journal is available online – use hypertext links.