Abstract
We present a proof that there are no zeros in the nonrelativistic Coulomb dipole matrix elements, considered as functions of energy, for transitions between any bound state and states of greater energy. This includes bound-bound and bound-free transitions and also transitions to unbounded negative energy states. Our result follows from the recursion relations for dipole matrix elements obtained by Infeld and Hall. By contrast, zeros occur in some Coulomb quadrupole matrix elements.
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.