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Proceedings Paper

Generalized Euler series transformation: application to the vibration-rotation energy level calculations of the H2,H3+, and H2O molecules
Author(s): T. V. Kruglova; A. D. Bykov
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Paper Abstract

The Effective Hamiltonian method uses the perturbation expansions and the problem of series convergence are important. It was shown that poor convergence is typically observing for high-J levels and highly excited vibrational states. Several methods of resummation have been proposed, Pade and Borel methods, multivalued quadratic approximants, generating functions, Euler method. In this report the Euler series transformation is applied to summation of divergent series within the EH method. The calculations were performed for H2, H3 +, H20 molecules.

Paper Details

Date Published: 12 December 2006
PDF: 10 pages
Proc. SPIE 6580, 15th Symposium on High-Resolution Molecular Spectroscopy, 65800E (12 December 2006); doi: 10.1117/12.724930
Show Author Affiliations
T. V. Kruglova, Institute of Atmospheric Optics (Russia)
A. D. Bykov, Institute of Atmospheric Optics (Russia)

Published in SPIE Proceedings Vol. 6580:
15th Symposium on High-Resolution Molecular Spectroscopy
Yurii N. Ponomarev; Semen N. Mikhailenko; Leonid N. Sinitsa, Editor(s)

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