83 citations · 184 across the 3 of their papers we have counts for
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math-ph2001★ 82 cited
Bound States in Curved Quantum Layers
Pierre Duclos, Pavel Exner, David Krejcirik
We consider a nonrelativistic quantum particle constrained to a curved layer of constant width built over a non-compact surface embedded in . We suppose that the latter is end…
math-ph2000★ 83 cited
Bound states in weakly deformed strips and layers
D. Borisov, P. Exner, R. Gadylshin +1
We consider Dirichlet Laplacians on straight strips in R^2 or layers in R^3 with a weak local deformation. First we generalize a result of Bulla et al. to the three-dimensional sit…