Abstract:
Based on the rules for summing oscillator-strength moments, we derive analytical expressions for environmentally (thermally) induced energy-level shifts and broadenings of circular Rydberg states with maximum orbital (l ) and magnetic (m) quantum numbers, l = |m| = n – 1. The formulae for the energy of interaction with blackbody radiation are presented in the form of series expansion in even powers of the small parameter η = Z2/(n3kBT ) ≪ 1 in the region of high temperatures T and principal quantum numbers n (Z is the charge of the residual ion). The expression for the thermally induced width contains a negative temperature-independent term coinciding in absolute value with the spontaneous width, so that the temperature-independent term is absent in the expression for the sum of the spontaneous and thermally induced widths. A similar expansion in powers of η for the thermally induced shift also contains a temperature-independent term proportional to 1/n6.
Keywords:
atom, circular Rydberg states, sums of oscillator strengths, thermal radiation, energy level width, shift.
Citation:
I. L. Glukhov, A. A. Kamenski, V. D. Ovsyannikov, “Sum of oscillator-strength moments and asymptotic behaviour of thermally induced broadening and shift of energy levels of Rydberg atom circular states”, Kvantovaya Elektronika, 50:6 (2020), 581–589 [Quantum Electron., 50:6 (2020), 581–589]
Linking options:
https://www.mathnet.ru/eng/qe17265
https://www.mathnet.ru/eng/qe/v50/i6/p581
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