Vol. 16, issue 11, article # 11

pdf Bykov A. D., Kruglova T. V. Generalized Euler transformation for the series of two variables. Application to rovibrational energy levels of diatomic molecules . // Atmospheric and oceanic optics. 2003. V. 16. No. 11. P. 924-927.
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The generalized Euler series transformation method is extended to the case of a series of two variables. It is applied to summation of the Dunham series for diatomic molecules. The Kratzer oscillator - the exactly solvable problem of quantum mechanics - is used as an approximating function. A new expression for the Dunham series is obtained, and the transformed series turns out to be a functional one, which corresponds to partial summation of the original series.