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"Can one notice the design of a drum?" Kac increased this popular concern in 1966, referring to the possibility associated with the existence of nonisometric planar domains with identical Dirichlet eigenvalue spectra for the Laplacian. Pairs of nonisometric isospectral billiards were sooner or later found by employing the transplantation technique which was deduced from Sunada's theorem. Our primary focus may be the question as to the extent isospectrality of nonrelativistic quantum billiard
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