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math-ph2006
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…
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…