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Theory and computation of electromagnetic transition matrix elements in the continuous spectrum of atoms

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Theory and computation of electromagnetic transition matrix elements in the continuous spectrum of atoms
Νικολαΐδης, Κλεάνθης A.
Κομνηνός, Γιάννης
Μερκούρης, Θεόδωρος Δ.
Άρθρο σε επιστημονικό περιοδικό
2017
The present study examines the mathematical properties of the free-free (f − f) matrix elements of the full electric field operator,OE(κ, r̅), of the multipolar Hamiltonian. κ is the photon wavenumber. Special methods are developed and applied for their computation, for the general case where the scattering wavefunctions are calculated numerically in the potential of the term-dependent (N − 1) electron core, and are energy-normalized. It is found that, on the energy axis, the f − f matrix elements of OE(κ, r̅) have singularities of first order, i.e., as ε′ → ε, they behave as (ε − ε′)-1. The numerical applications are for f − f transitions in hydrogen and neon, obeying electric dipole and quadrupole selection rules. In the limit κ = 0, OE(κ, r̅) reduces to the length form of the electric dipole approximation (EDA). It is found that the results for the EDA agree with those of OE(κ, r̅), with the exception of a wave-number region k′ = k ± κ about the point k′ = k.
Φυσική και θεωρητική χημεία (EL)
Ατομική φυσική (συμπ. μοριακή φυσική, σχετικότητα, κβαντική θεωρία και φυσική στερεάς κατάστασης) (EL)
Atomic physics (Incl. molecular physics, relativity, quantum theory, and solid state physics) (EN)
Physical and theoretical chemistry (EN)
Atomic Physics (EN)
English
Springer Science and Business Media, LLC
European Physical Journal D
© 2017, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.
© 2017, EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg. (EN)
National Hellenic Research Foundation (NHRF)
Helios - Repository of the National Hellenic Research Foundation (NHRF)



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