Abstract
General scaling laws for matrix elements of r/sup n/, transition strengths, transition probabilities, and other quantities of interest for hydrogen-like systems (hydrogen, its isoelectronic sequence, excitons, positronium, muonium, and other exotic atoms) in a magnetic field of arbitrary strength are presented. Analytic approximations for these quantities for hydrogen (that is, Z = 1 and an infinitely massive nucleus) are given for a complete range of magnetic fields from B = 0 to Bapprox.10/sup 13/ gauss. The scaling laws can then be used to obtain numerical values of transition probabilities, etc., for any other hydrogen-like system in an arbitrary magnetic field.
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