Summation of Divergent Series and Zeldovich's Regularization Method
- Moscow Engineering Physics Institute (State University), Kashirskoe sh. 31, Moscow, 115409 (Russian Federation)
- Institute of Theoretical and Experimental Physics, Bol'shaya Cheremushkinskaya ul. 25, Moscow, 117218 (Russian Federation)
A method for summing divergent series, including perturbation-theory series, is considered. This method is an analog of Zeldovich's regularization method in the theory of quasistationary states. It is shown that the method in question is more powerful than the well-known Abel and Borel methods, but that it is compatible with them (that is, it leads to the same value for the sum of a series). The constraints on the parameter domain that arise upon the removal of the regularization of divergent integrals by this method are discussed. The dynamical Stark shifts and widths of loosely bound s states in the field of a circularly polarized electromagnetic wave are calculated at various values of the Keldysh adiabaticity parameter and the multiquantum parameter.
- OSTI ID:
- 20692786
- Journal Information:
- Physics of Atomic Nuclei, Journal Name: Physics of Atomic Nuclei Journal Issue: 4 Vol. 68; ISSN 1063-7788; ISSN PANUEO
- Country of Publication:
- United States
- Language:
- English
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