'Can one hear the shape of a drum?': Revisited

Y. Okada; A. Shudo; S. Tasaki; T. Harayama

doi:10.1088/0305-4470/38/9/L02

'Can one hear the shape of a drum?': Revisited

Y. Okada^*, A. Shudo, S. Tasaki, T. Harayama

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

16 Citations (Scopus)

Abstract

A famous inverse problem posed by M Kac 'Can one hear the shape of a drum?' is concerned with isospectrality of drums or planer billiards, and the first counter example was constructed by Gordon, Webb and Wolpert (1992 Invent. Math. 110 1). Here we present pieces of numerical evidence showing that 'One can distinguish isospectral drums by measuring the scattering poles of exterior Neumann problems'. This is based on the observation that the Fredholm determinant appearing in the boundary element method admits a factorization into interior and exterior parts.

Original language	English
Pages (from-to)	L163-L170
Journal	Journal of Physics A: Mathematical and General
Volume	38
Issue number	9
DOIs	https://doi.org/10.1088/0305-4470/38/9/L02
Publication status	Published - 2005 Mar 4
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
Physics and Astronomy(all)

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10.1088/0305-4470/38/9/L02

Cite this

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'Can one hear the shape of a drum?': Revisited

Abstract

ASJC Scopus subject areas

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