Abstract
Analytic wave functions are obtained from the Klein-Gordon equation by using the quantum-defect theory in the semiclassical Coulomb approximation. From this result, analytic expressions for relativistic electric dipole radial integrals between highly excited Rydberg states χλ, χ'λ' are calculated in terms of Anger functions plus an algebraic part combination of sin (πs) and cos(πs), where s=(σ'/gs)(χ'− χ)−(σ/σ')(χ− χ), χ= χχ' · χ , λ, σ and χ', λ', σ' are the relativistic effective principal quantum numbers, orbital angular momenta and charges of states involved. In the nonrelativistic limit, we retrieve classical formulas established previously in the dipole case.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.