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Quantum defect asymptotics at the critical charge: A study of the integrality conjecture

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Author
Sarsa, A.
Katriel, J.
Publisher
Elsevier
Date
2018
Subject
Quantum defect
Critical charge
Integrality conjecture
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Abstract
A single (n, ℓ) electron outside an (N −1)-electron atomic core is bound as long as Z > Zc = N − 1. A conjecture is examined, according to which the quantum defect of the outermost electron satisfies limZ!Zc δn,ℓ(Z) = Nℓ, where Nℓ is the number of occupied or partially occupied orbitals with angular momentum quantum number ℓ within the (N − 1)-electron core. Specifically, the 3s quantum defect is inspected for the different occupancies of the n = 1 and n = 2 shells. The conjecture is found to hold in all the cases considered.
URI
http://hdl.handle.net/10396/18641
Fuente
Chemical Physics Letters 706, 380-382 (2018)
Versión del Editor
http://dx.doi.org/10.1016/j.cplett.2018.06.039
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