radiative mean lifetimes for the hydrogen atom (n,l)
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For the hydrogen atom, the table gives the radiative mean lifetime in seconds fora state (n,l). The tabulation goes up to n=70.The decay width of the level is hbar/lifetime. I used the quantum-mechanical expressions given by H. C. Goldwire, Ap.J. Suppl. 152 (1968) 445, DOI: 10.1086/190180 The numbers agree with, where data are available, Table I (lastcolumn) of L.J. Curtis, JOSA 63 (1973) 105-7, DOI: 10.1364/JOSA.63.000105and Table I (last column) of H. Marxer and L. Spruch, Phys. Rev. A43 (1991), 1268-74, DOI: 10.1103/PhysRevA.43.1268The numbers are also in good agreementwith the semiclassical values given by K. Omidvar Phys. Rev. 26 (1982), 3053,Table III, up to n=25.As a check, the tabulatedvalue for the lifetime of n=70,l=69 agrees with the value from theasymptotic formula for the width given in "Relativistic and radiativeenergy shifts for Rydberg states," U.D. Jentschura, E.-O. Le Bigot,J. Evers, P. J. Mohr, and C.H. Keitel, J. Phys. B 38 (2005), S97doi: 10.1088/0953-4075/38/2/008 Curtis and Marxer & Spruch (and others) also investigated semi-classical formulaefor the lifetimes. See the review, "Asymptotic methods forRydberg transitions,", D.P. Dewangan, Phys. Rep. 511 (2012), 1-142,DOI: 10.1103/PhysRevA.43.1268
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2016-01-08



