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The Borel sum of the double-well perturbation series and the Zinn-Justin conjecture

โœ Scribed by S. Graffi; V. Grecchi

Book ID
113346819
Publisher
Elsevier Science
Year
1983
Tongue
English
Weight
364 KB
Volume
121
Category
Article
ISSN
0370-2693

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๐Ÿ“œ SIMILAR VOLUMES

Accurate energy levels for the anharmoni
Accurate energy levels for the anharmonic oscillator and a summable series for the double-well potential in perturbation theory: William E. Caswell. Department of Physics, Brown University, Providence, Rhode Island 02912
๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 82 KB

We introduce a generalization of Wick-ordering which maps the anharmonic oscillator (AO) Hamiltonian for mass m and coupling h exactly into a "Wick-ordered" Hamiltonian with an effective mass M which is a simple analytic function of h and m. The effective coupling rl = X/M3 is bounded. We transform