A variational principle for eigenvalue bounds
- 1 March 1979
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 12 (3) , 325-328
- https://doi.org/10.1088/0305-4470/12/3/007
Abstract
A functional is given which can be used to derive lower and upper bounds for the discrete eigenvalues of self-adjoint operator. The lower bounds of the functional are deduced and the connections to other variational principles are pointed out.Keywords
This publication has 3 references indexed in Scilit:
- Variational procedure yielding upper and lower bounds to eigenvalues of hermitian operatorsPhysics Letters A, 1978
- Variation principle for probability amplitudesPhysics Letters, 1964
- UPPER AND LOWER BOUNDS FOR THE SQUARES OF FOURIER COEFFICIENTSThe Quarterly Journal of Mathematics, 1962