8 citations · 8 across the 1 of their papers we have counts for
4 papers
Quantum Layers over Surfaces Ruled Outside a Compact Set
Christopher Lin, Zhiqin Lu
In this paper, we proved the quantum layer over a surface which is ruled outside a compact set, asymptotically flat but not totally geodesic admits ground states.
Discrete spectrum of quantum tubes
Christopher Lin, Zhiqin Lu
This short paper is based on the talk of the second author given at the 2005 Hayama Symposium on Complex Analysis in Several Variables. The recent results of the authors on the spe…
On the Discrete Spectrum of Generalized Quantum Tubes
Christopher Lin, Zhiqin Lu
In this paper, we study the spectrum of quantum tubes. Under certain intrinsic assumptions of the asymptotically flat submanifold of the Euclidean space, we prove the existence of…
Existence of Bound States for Layers Built Over Hypersurfaces of Euclidean Space
Christopher Lin, Zhiqin Lu
In this paper, we study the bound states of quantum layers. We prove that for the quantum layer built over a parabolic manifold which is not totally geodesic, if the second fundama…