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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
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
- 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
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