A class of rotationally symmetric quantum layers of dimension 4

作者：Mao Jing^*

来源：Journal of Mathematical Analysis and Applications, 2013, 397(2): 791-799.

DOI：10.1016/j.jmaa.2012.08.012

• Discrete spectrum
• Essential spectrum
• Bound state
• Quantum layer

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.

• 出版日期2013-1-15