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Published December 22, 1969 | Published
Journal Article Open

Pade approximants and the anharmonic oscillator

Abstract

The diagonal Padé approximants of the perturbation series for the eigenvalues of the anharmonic oscillator (a βκ^1 perturbation of p^2 + κ^2) converge to the eigenvalues.

Additional Information

© 1969 Published by Elsevier . Received 27 November 1969. It is a pleasure to thank A. Dicke, H. Epstein, V. Glaser, D. Masson, E. Stein and K. Symanzik for very valuable comments. Two of us (A. M. and B. S.) are grateful to N. N. Khuri for arranging a meeting which stimulated this work.

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