82 citations · 94 across the 5 of their papers we have counts for
4 papers
On critical stability of three quantum charges interacting through delta potentials
Horia Decebal Cornean, Pierre Duclos, Benjamin Ricaud
We consider three one dimensional quantum, charged and spinless particles interacting through delta potentials. We derive sufficient conditions which guarantee the existence of at…
Geometrically induced discrete spectrum in curved tubes
B. Chenaud, P. Duclos, P. Freitas +1
The Dirichlet Laplacian in curved tubes of arbitrary cross-section rotating with respect to the Tang frame along infinite curves in Euclidean spaces of arbitrary dimension is inves…
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…
Locally curved quantum layers
P. Duclos, P. Exner, D. Krejcirik
We consider a quantum particle constrained to a curved layer of a constant width built over an infinite smooth surface. We suppose that the latter is a locally deformed plane and t…