STARK EFFECT IN A HYDROGENIC ATOM OR ION: TREATED BY THE PHASE-INTEGRAL METHOD WITH ADJOINED PAPERS BY A HOKBACK AND P O FROMAN

Froman, Nanny,Froman, Per Olof

ISBN 10: 186094924X / ISBN 13: 9781860949241

Published by Imperial College Press, 2008

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Synopsis:

This book treats the Stark effect of a hydrogenic atom or ion in a homogeneous electric field. It begins with a thorough review of previous work in this field since 1926. After the Schrödinger equation has been separated with respect to time dependence, centre of mass motion and internal motion, followed by a discussion of its eigenfunctions, the exact development in time of the probability amplitude for a decaying state is obtained by means of a formula analogous to the FockKrylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular base function non-relativistic formulas for profiles, energies and half-widths of the Stark levels. These formulas are then transformed into formulas expressed in terms of complete elliptic integrals. The formulas thus obtained are used for the calculation of energies and half-widths of 198 different Stark states, which are compared with the corresponding results obtained by other authors with the use of other methods. An analysis of this material indicates that the energy values obtained by the phase-integral method are at least as accurate as those obtained by other methods in more than half of the 198 cases. The book presents one of the most comprehensive asymptotic treatments of the Stark effect in atomic hydrogen that have been published.

Review: ... within the numerical treatments of the Stark effect for the hydrogen atom the book certainly will find its firm place. --Mathematical Reviews

Bibliographic Details

Title: STARK EFFECT IN A HYDROGENIC ATOM OR ION: ...
Publisher: Imperial College Press
Publication Date: 2008
Binding: hardcover
Condition: Very Good