Description 
1 online resource (viii, 153 pages) : illustrations 
Bibliography 
Includes bibliographical references and indexes. 
Contents 
1. Introduction  2. Schrödinger equation, its seperation and its exact eigenfunctions. 2.1. Separation of the timeindependent Schrd̈inger equation for the internal motion. 2.2. Properties of the eigenfunctions of the timeindependent Schrödinger equation for the internal motion  3. Development in time of the probability amplitude for a decaying state  4. Phaseintegral method. 4.1. Phaseintegral approximation generated from an unspecified base function. 4.2. Connection formulas associated with a single transition point  5. Derivation of phaseintegral formulas for profiles, energies and halfwidths of Stark levels. 5.1. Positions of the Stark levels. 5.2. Formulas for the calculation of dL/dE, dK[symbol]/dE and dK/dE. 5.3. Halfwidths of the Stark intervals  6. Procedure for transformation of the phaseintegral formulas into formulas involving complete elliptic integrals  Adjoined papers by Anders Hökback and Per Olof Fröman  7. Phaseinegral quantities and their partial derivatives with respect to [symbol] and [symbol] expressed in terms of complete elliptic integrals. 7.1. The [symbol]equation. 7.2. The [symbol]equation in the subbarrier case. 7.3. The [symbol]equation in the superbarrier case  8. Numerical results. 
Summary 
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 phaseintegral approximation generated from a particular base function nonrelativistic formulas for profiles, energies and halfwidths 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 halfwidths 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 phaseintegral 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. 
Local Note 
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection  North America 
Subject 
Stark effect.


Optical spectroscopy.


Quantum theory.


Schrödinger equation.

Genre/Form 
Electronic books.

Added Author 
Fröman, Per Olof.


Hökback, A.

Other Form: 
Print version: Fröman, Nanny. Stark effect in a hydrogenic atom or ion. London, UK : Imperial College Press, ©2008 (DLC) 2008299745 
ISBN 
1860949258 (electronic bk.) 

9781860949258 (electronic bk.) 

186094924X (Cloth) 

9781860949241 
