Embedded eigenvalues of generalized Schrodinger operators

Cuenin, Jean-Claude (2020): Embedded eigenvalues of generalized Schrodinger operators. In: Journal of Spectral Theory, Vol. 10, No. 2: pp. 415-437

Abstract

We provide examples of operators T(D) + V in L-2(R-d) with decaying potentials that have embedded eigenvalues. The decay of the potential depends on the curvature of the (Fermi) surfaces of constant kinetic energy T. We make the connection to counterexamples in Fourier restriction theory.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1664-039X
• Language: English