On the Discrete Spectrum of Generalized Quantum Tubes

Details On the Discrete Spectrum of Generalized Quantum Tubes On the Discrete Spectrum of Generalized Quantum Tubes

2006-01-10

arxiv.org/abs/math/0601201v1

Comm. of PDE, vol 31, 2006, 1529-1546

Mathematics

Differential Geometry

Scientific paper

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).

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