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An elementary proof of Kato's lemma

Published online by Cambridge University Press:  26 February 2010

G. Temple
G. Temple
Affiliation:
Mathematical Institute, Oxford
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Extract

A well-known method of calculating an approximate value of an eigenvalue λ of a self-adjoint operator H employs an approximation, say w, to the corresponding eigenfunction ψ. Since

the exact value of λ is given by

Information

Type
Research Article
Information
Mathematika , Volume 2 , Issue 1 , June 1955 , pp. 39 - 41
Copyright
Copyright © University College London 1955

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References

1.Bateman, H., Camb. Phil. Soc. Tram., XX (1908), 371.Google Scholar
2.Kato, T., Journal of the Physical Society of Japan, 4 (1949), 334–339.Google Scholar
3.Temple, G., Proc. Royal Soc. A, 211 (1952), 204–224.Google Scholar