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J. Math. Phys. 19, 1041 (1978); http://dx.doi.org/10.1063/1.523766 (8 pages)

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

J. P. Gazeau

Laboratoire de Chimie Physique de l'Université Pierre et Marie Curie, 75231 Paris Cedex 05, France

By combining Sturmian–Coulomb techniques with a local representation of the four Euclidean conformal group SU∗ (4) ≃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: INN(E) =〈N‖p⋅ϵ1 exp(ik1⋅r) G (E)p ⋅ϵ2exp(ik2⋅r) ‖N′〉, where G (E) is the Coulomb Green’s function.

ERRATUM

  1. Erratum: Four Euclidean conformal groups in atomic calculations: Exact analytical expressions for the bound–bound two photon transition matrix elements in the H atom [J. Math. Phys. 19, 1041(1978)]
    J. P. Gazeau
    J. Math. Phys. 21, 1267 (1980)JMAPAQ000021000005001267000001

KEYWORDS and PACS

PACS

  • 02.20.Rt

    Discrete subgroups of Lie groups

  • 03.65.Ca

    Formalism

  • 32.80.Rm

    Multiphoton ionization and excitation to highly excited states

  • 32.80.Wr

    Other multiphoton processes

ARTICLE DATA

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

For access to fully linked references, you need to log in.
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    J. Schwinger, J. Math. Phys. 5, 1606 (1964)JMAPAQ000005000011001606000001.


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