Birman–Schwinger bounds for the Laplacian with point interactions

1 September 1979

journal article
research article
Published by AIP Publishing in Journal of Mathematical Physics

Vol. 20 (9) , 1848-1850
https://doi.org/10.1063/1.524301

Abstract

Birman–Schwinger bounds on the eigenvalues of −Δ are described, where −Δ is the self adjoint operator obtained from the three‐dimensional Laplacian by imposing boundary conditions at N distinct points in R³.

Keywords

THREE DIMENSIONAL
SELF ADJOINT OPERATOR
BOUNDARY CONDITION

This publication has 3 references indexed in Scilit:

Bound for the Kinetic Energy of Fermions Which Proves the Stability of Matter
Physical Review Letters, 1975
The spectrum of singular boundary problems
American Mathematical Society Translations: Series 2, 1966
ON THE BOUND STATES OF A GIVEN POTENTIAL
Proceedings of the National Academy of Sciences, 1961