Radially isospectral annular membranes |
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Authors: | Gottlieb H P W |
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Institution: |
School of Science, Griffith University, Nathan, Queensland 4111, Australia
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Abstract: | ** Email: h.gottlieb{at}griffith.edu.au By utilizing transformations of both the radial coordinate andthe radial wave function, densities of annular membranes whichare radially isospectral to any given radial density are produced.In particular, new families of annular membrane densities arefound which are radially isospectral to a uniform membrane.Some new generalizations for completely isospectral annularmembranes (including angle-dependent densities) are also given. |
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Keywords: | isospectral annular membranes circular membranes density inhomogeneous |
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