Open Access. Powered by Scholars. Published by Universities.®

Physics Commons

Open Access. Powered by Scholars. Published by Universities.®

University of Nebraska - Lincoln

2000

Atomic and molecular physics

Articles 1 - 1 of 1

Full-Text Articles in Physics

Exact Analytic Relation Between Quantum Defects And Scattering Phases With Applications To Green’S Functions In Quantum Defect Theory, V. E. Chernov, N. L. Manakov, Anthony F. Starace Feb 2000

Exact Analytic Relation Between Quantum Defects And Scattering Phases With Applications To Green’S Functions In Quantum Defect Theory, V. E. Chernov, N. L. Manakov, Anthony F. Starace

Anthony F. Starace Publications

The relation between the quantum defects, μλ, and scattering phases, δλ, in the single-channel Quantum Defect Theory (QDT) is discussed with an emphasis on their analyticity properties for both integer and noninteger values of the orbital angular momentum parameter λ. To derive an accurate relation between μλ and δλ for asymptotically-Coulomb potentials, the QDT is formally developed for the Whittaker equation in its general form “perturbed” by an additional short-range potential. The derived relations demonstrate that μλ is a complex function for above-threshold energies, which is analogous to the fact that δλ is complex ...