50 citations · 84 across the 2 of their papers we have counts for
2 papers
math.FA1998★ 34 cited
On the number of particles which a curved quantum waveguide can bind
Pavel Exner, Simeon A. Vugalter
We discuss the discrete spectrum of N particles in a curved planar waveguide. If they are neutral fermions, the maximum number of particles which the waveguide can bind is given by…
funct-an1997★ 50 cited
Bound-state asymptotic estimates for window-coupled Dirichlet strips and layers
Pavel Exner, Simeon Vugalter
We consider the discrete spectrum of the Dirichlet Laplacian on a manifold consisting of two adjacent parallel strips or planar layers coupled by a finite number N of windows in th…