Author : Nanny Froman
Publisher : World Scientific
ISBN 13 : 1908979062
Total Pages : 162 pages
Book Rating : 4.9/5 (89 download)
Book Synopsis Stark Effect In A Hydrogenic Atom Or Ion: Treated By The Phase-integral Method With Adjoined Papers By A Hokback And P O Froman by : Nanny Froman
Download or read book Stark Effect In A Hydrogenic Atom Or Ion: Treated By The Phase-integral Method With Adjoined Papers By A Hokback And P O Froman written by Nanny Froman and published by World Scientific. This book was released on 2008-03-14 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Fock-Krylov 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./a