On the Discrete Spectrum of Generalized Quantum Tubes
Differential Geometry
2007-05-23 v1 Mathematical Physics
Analysis of PDEs
math.MP
Abstract
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 the ground state of the quantum tube. The work is a generalization of Duclos, Exner and Krejcirik (CMP, 223(1), 13-28, 2001) and ourselves(math.DG/0402252).
Cite
@article{arxiv.math/0601201,
title = {On the Discrete Spectrum of Generalized Quantum Tubes},
author = {Christopher Lin and Zhiqin Lu},
journal= {arXiv preprint arXiv:math/0601201},
year = {2007}
}