A method for summing strongly divergent perturbation series: The Zeeman effect in hydrogen

Gustavo A. Artega, Francisco M. Fernández, Alejandro M. Mesón and Eduardo A. Castro

Physica A: Statistical Mechanics and its Applications, 1984, vol. 128, issue 1, 253-267

Abstract: A new method for summing strongly divergent power series is presented. It consists of an order-dependent mapping that transforms the divergent series into a convergent sequence. The procedure is applied to the perturbation series of the Zeeman effect in hydrogen obtaining accurate energy values for the states 1s and 2p±1 over a wide range of field strengths. Difficulties in handling the 2s state are pointed out.

Date: 1984
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:128:y:1984:i:1:p:253-267

DOI: 10.1016/0378-4371(84)90090-6

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