A class of rotationally symmetric quantum layers of dimension 4

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:397

Article

Mao, Jing

关键词: Discrete spectrum;    Essential spectrum;    Bound state;    Quantum layer;   

DOI  :  10.1016/j.jmaa.2012.08.012

来源: Elsevier

【 摘 要 】

Under several geometric conditions imposed below, the existence of the discrete spectrum below the essential spectrum is shown for the Dirichlet Laplacian on the quantum layer built over a spherically symmetric hypersurface with a pole embedded in R-4. At the end of this paper, we also show the advantage and independence of our main result comparing with those existent results for higher dimensional quantum layers or quantum tubes. (c) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free