18 citations · 90 across the 16 of their papers we have counts for
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math.SP2014★ 5 cited
On the number of nodal domains of the 2D isotropic quantum harmonic oscillator -- an extension of results of A. Stern --
Pierre Bérard, Bernard Helffer
In the case of the sphere and the square, Antonie Stern (1925) claimed in her PhD thesis the existence of an infinite sequence of eigenvalues whose corresponding eigenspaces contai…
math.AP2014★ 10 cited
Dirichlet eigenfunctions of the square membrane: Courant's property, and A. Stern's and Å. Pleijel's analyses
Pierre Bérard, Bernard Helffer
In this paper, we revisit Courant's nodal domain theorem for the Dirichlet eigenfunctions of a square membrane, and the analyses of A. Stern and Å. Pleijel.