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Title: Four Euclidean conformal group in atomic calculations: Exact analytical expressions for the bound-bound two-photon transition matrix elements in the H atom

Abstract

By combining Sturmian-Coulomb techniques with a local representation of the four Euclidean conformal group SU* (4) approx. =Spin(1,5), a compact analytical form, suitable for any analytic continuation on the energy variable, is obtained for the following bound-bound two-photon transition matrix element in the H atom: I/sub NNprime/(E) =,where G(E) is the Coulomb Green's function.

Authors:
Publication Date:
Research Org.:
Laboratoire de Chimie Physique de l'Universite Pierre et Marie Curie, 75231 Paris Cedex 05, France
OSTI Identifier:
5076647
Resource Type:
Journal Article
Resource Relation:
Journal Name: J. Math. Phys. (N.Y.); (United States); Journal Volume: 19:5
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; HYDROGEN; ENERGY-LEVEL TRANSITIONS; CONFORMAL GROUPS; EUCLIDEAN SPACE; GREEN FUNCTION; MATRIX ELEMENTS; SCHROEDINGER EQUATION; SU GROUPS; CRYOGENIC FLUIDS; DIFFERENTIAL EQUATIONS; ELEMENTS; EQUATIONS; FLUIDS; FUNCTIONS; LIE GROUPS; MATHEMATICAL SPACE; NONMETALS; RIEMANN SPACE; SPACE; SYMMETRY GROUPS; WAVE EQUATIONS; 640302* - Atomic, Molecular & Chemical Physics- Atomic & Molecular Properties & Theory

Citation Formats

Gazeau, J.P. Four Euclidean conformal group in atomic calculations: Exact analytical expressions for the bound-bound two-photon transition matrix elements in the H atom. United States: N. p., 1978. Web. doi:10.1063/1.523766.
Gazeau, J.P. Four Euclidean conformal group in atomic calculations: Exact analytical expressions for the bound-bound two-photon transition matrix elements in the H atom. United States. doi:10.1063/1.523766.
Gazeau, J.P. Mon . "Four Euclidean conformal group in atomic calculations: Exact analytical expressions for the bound-bound two-photon transition matrix elements in the H atom". United States. doi:10.1063/1.523766.
@article{osti_5076647,
title = {Four Euclidean conformal group in atomic calculations: Exact analytical expressions for the bound-bound two-photon transition matrix elements in the H atom},
author = {Gazeau, J.P.},
abstractNote = {By combining Sturmian-Coulomb techniques with a local representation of the four Euclidean conformal group SU* (4) approx. =Spin(1,5), a compact analytical form, suitable for any analytic continuation on the energy variable, is obtained for the following bound-bound two-photon transition matrix element in the H atom: I/sub NNprime/(E) =,where G(E) is the Coulomb Green's function.},
doi = {10.1063/1.523766},
journal = {J. Math. Phys. (N.Y.); (United States)},
number = ,
volume = 19:5,
place = {United States},
year = {Mon May 01 00:00:00 EDT 1978},
month = {Mon May 01 00:00:00 EDT 1978}
}