A geometric estimate for a periodic Schrödinger operator
Work
Year: 2000
Type: article
Abstract: We estimate from below by geometric data the eigenvalues of the periodic Sturm-Liouville operator $-4{d^2}/{ds^2} + κ^2(s)$ with potential given by the curvature of a closed curve.
Source: Colloquium Mathematicum
Author Thomas Friedrich
Institution Humboldt-Universität zu Berlin
Cites: 7
Cited by: 4
Related to: 10
FWCI: 0.446
Citation percentile (by year/subfield): 49.98
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze