The Helmholtz equation for regular polygons is investigated by means of the conformal mapping from the circle, which provides an expansion parameter for the approximate evaluation of the lowest eigenvalue and the corresponding eigenvector.
On the ground state of regular polygonal billiards / L.G. Molinari. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 30:18(1997 Sep 21), pp. 651.6517-651.6524. [10.1088/0305-4470/30/18/025]
On the ground state of regular polygonal billiards
L.G. Molinari
Primo
1997
Abstract
The Helmholtz equation for regular polygons is investigated by means of the conformal mapping from the circle, which provides an expansion parameter for the approximate evaluation of the lowest eigenvalue and the corresponding eigenvector.
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