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nlin.SI2014★ 8 cited
A nodal domain theorem for integrable billiards in two dimensions
Rhine Samajdar, Sudhir R. Jain
Eigenfunctions of integrable planar billiards are studied - in particular, the number of nodal domains, , of the eigenfunctions are considered. The billiards for which the time-…
quant-ph2014★ 11 cited
Nodal domains of the equilateral triangle billiard
Rhine Samajdar, Sudhir R. Jain
We characterise the eigenfunctions of an equilateral triangle billiard in terms of its nodal domains. The number of nodal domains has a quadratic form in terms of the quantum numbe…