N wells at a circle. Splitting of lower eigenvalues
https://doi.org/10.17586/2220-8054-2018-9-2-212-214
Abstract
A stationary Schrodinger operator on¨ R2 with a potential V having N nondegenerate minima which divide a circle of radius r0 into N equal parts is considered. Some sufficient asymptotic formulae for lower energy levels are obtained in a simple example. The ideology of our research is based on an abstract theorem connecting modes and quasi-modes of some self-adjoint operator A and some more detailed investigation of low energy levels in one well (in Rd).
About the Author
T. F. Pankratova
ITMO University
Russian Federation
Russian Federation
49 Kronverkskiy, St. Petersburg, 197101
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Review
For citations:
Pankratova T.F. N wells at a circle. Splitting of lower eigenvalues. Nanosystems: Physics, Chemistry, Mathematics. 2018;9(2):212–214. https://doi.org/10.17586/2220-8054-2018-9-2-212-214
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