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1970•Journal of physics. A, Proceedings of the Physical Society. GeneralOpen access

Sequences of functionals for the evaluation of eigenvalues of the Lippmann-Schwinger kernel

C. S. Sharma

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Abstract

Three sequences of functionals which are stationary at the eigenvalues of the Lippmann-Schwinger kernel are constructed. In addition to providing estimates of the eigenvalues, variations of these functionals also provide approximations to the eigenvectors and some interesting transforms of the eigenvectors.

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What this paper is about

Three sequences of functionals which are stationary at the eigenvalues of the Lippmann-Schwinger kernel are constructed. In addition to providing estimates of the eigenvalues, variations of these functionals also provide approximations to the eigenvectors and some interesting transforms of the eigenvectors.

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Available abstract

Three sequences of functionals which are stationary at the eigenvalues of the Lippmann-Schwinger kernel are constructed. In addition to providing estimates of the eigenvalues, variations of these functionals also provide approximations to the eigenvectors and some interesting transforms of the eigenvectors.

Key concepts: Eigenvalues and eigenvectors, Eigenvalues and eigenvectors of the second derivative, Mathematics, Kernel (algebra), Applied mathematics, Eigenvalue perturbation, Mathematical analysis, Pure mathematics

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