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math.DG2006
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…
math.DG2006
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…