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.
Copyright 2004 Institute of Physics. Reproduced in accordance with the copyright policy of the publisher. This journal is available online – use hypertext links.