O Giraud 2004 J. Phys. A: Math. Gen. 37 2751 doi:10.1088/0305-4470/37/7/016
O Giraud
Show affiliationsIsospectral domains are non-isometric regions of space for which the spectra of the Laplace–Beltrami operator coincide. In the two-dimensional Euclidean space, instances of such domains have been given. It has been proved for these examples that the length spectrum, that is the set of the lengths of all periodic trajectories, coincides as well. However there is no one-to-one correspondence between the diffractive trajectories. It will be shown here how the diffractive contributions to the Green functions match nevertheless in a 'one-to-three' correspondence.
05.45.-a Nonlinear dynamics and nonlinear dynamical systems
37D50 Hyperbolic systems with singularities (billiards, etc.)
Issue 7 (20 February 2004)
Received 3 November 2003
Published 4 February 2004
O Giraud 2004 J. Phys. A: Math. Gen. 37 2751
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