1930/08/15 by D.S. Hughes, Carl Eckart · 3 citations
Physics and Astronomy · Engineering · #Atomic and Molecular Physics #Nuclear physics research studies #Muon and positron interactions and applications
paper · doi:10.1103/physrev.36.694
openalex publication_date 1930/08/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22
The wave equation for a system of N electrons (mass m) and one nucleus (mass M) is set up and solved approximately. If W(m) are the energy levels for M=\ensuremath∞, the energy levels for finite M are (\frac\ensuremathμW(m)m)+\ensuremathΔW, where \ensuremathμ=(mM)/((m+M)) and \ensuremathΔW is calculable.In case N=2 or 3, \ensuremathΔW is zero except for P levels. For these it is given by Eq. (13), which is derived on the assumption that the wave function is a polynomial of hydrogen functions, each with its own effective nuclear charge. The values of the latter previously determined by one of the authors are used in comparing the calculation with Sch"uler's experimental data on Li II, \ensuremathλ5485 and Li I, \ensuremathλ6708. The agreement is satisfactory and eliminates one objection to Sch"uler's interpretation of \ensuremathλ5485.