TY - JOUR
T1 - Quantum-electrodynamic level shifts between parallel mirrors: applications, mainly to Rydberg states
JF - Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences
JO - Proc R Soc Lond A Math Phys Sci
SP - 175
LP - 200
M3 - 10.1098/rspa.1987.0033
VL - 410
IS - 1838
AU -
Y1 - 1987/03/09
UR - http://rspa.royalsocietypublishing.org/content/410/1838/175.abstract
N2 - Hydrogen atoms in Rydberg states (principal quantum number n ≫ 1) inserted between parallel mirrors separated by a distance L suffer level shifts now becoming measurable. The analysis in the preceding paper is applied to predict these shifts ⊿. When L < n3a/α (a is the Bohr radius; α = e2/ħc ≈ 1/137), ⊿ is basically electrostatic (‘non-retarded’), and of order (n/4/L3mm) x 10‒6 Hz (with L expressed in millimetres). When L > n3a/α, ⊿ is basically radiative (‘retarded’), and of order (2/n2Lmm x 104 Hz. Fine structure and hyperfine structure are taken into account, considering the extreme cases of low orbital angular momenta (l = 0, 1), and, more briefly, very high l (with (n — l)/n = O(1/n)). Explicit formulae are given in the non-retarded régime, except for very small L, where ⊿ becomes comparable with the fine structure. In the retarded régime for low l, the requisite radial integrals are not available accurately, and only rough predictions can be made.
ER -