Stark effect in a hydrogenic atom or ion : treated by the phase-integral method / Nanny Froman, Per Olof Froman ; with adjoined papers by A. Hokback and P.O. Froman.

Format:

Book

Author/Creator:

Fröman, Nanny.

Contributor:

Fröman, Per Olof.

Language:

English

Subjects (All):

Stark effect.

Optical spectroscopy.

Quantum theory.

Schrödinger equation.

Physical Description:

1 online resource (164 p.)

Edition:

1st ed.

Place of Publication:

London : Imperial College Press ; Hackensack, NJ : Distributed by World Scientific Publishing, c2008.

Language Note:

English

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 Fock-Krylov theorem. From this formula one obtains by means of the phase-integral approximation generated from a particular

Contents:

Contents; Preface; 1 Introduction; Brief review of different aspects studied and various methods used; Brief account of the background of this book; Publications with relevance to this book; Treatment in this book; Brief account of the contents of this book; 2 Schrödinger Equation, its Separation and its Exact Eigenfunctions; 2.1 Separation of the time-independent Schrödinger equation for the internal motion; 2.2 Properties of the eigenfunctions of the time-independent Schrödinger equation for the internal motion; 3 Development in Time of the Probability Amplitude for a Decaying State

4 Phase-Integral Method 4.1 Phase-integral approximation generated from an unspecified base function; 4.2 Connection formulas associated with a single transition point; 4.2.1 Connection formulas pertaining to a first-order transition zero on the real axis; 4.2.2 Connection formula pertaining to a first-order transition pole at the origin; 4.3 Connection formula for a real, smooth, single-hump potential barrier; 4.3.1 Wave function given as a standing wave; 4.3.2 Supplementary quantity φ; 4.4 Quantization conditions for single-well potentials

5 Derivation of Phase-Integral Formulas for Profiles, Energies and Half-Widths of Stark Levels5.1 Positions of the Stark levels; 5.2 Formulas for the calculation of dL/dE, dK2n/dE and dK/dE; 5.3 Half-widths of the Stark levels; 6 Procedure for Transformation of the Phase-Integral Formulas into Formulas Involving Complete Elliptic Integrals; Adjoined Papers by Anders Hökback and Per Olof Fröman; 7 Phase-Inegral Quantities and Their Partial Derivatives with Respect to E and Z1 Expressed in Terms of Complete Elliptic Integrals; 7.1 The ξ-equation; 7.2 The η-equation in the sub-barrier case

7.3 The η-equation in the super-barrier case8 Numerical Results; References; Name Index; Subject Index

Notes:

Description based upon print version of record.

Includes bibliographical references (p. 145-148) and indexes.

ISBN:

9786611867683

9781281867681

1281867683

9781860949258

1860949258

OCLC:

815742128