Lyman series Matrices

Thus we may state that the matrix elements of the Lyman series transitions increase with the increase of the magnetic field. Similar increase is also characteristic of matrix elements for 7r-transitions to the state 2pl and n- and cr-transitions to the state 2s of the Balmer series. However this property does not hold in general. E.g. for 7r-transitions to the state 2p0 from many states of the upper-level diamagnetic manifold the coefficient q 0A 2po takes negative values (see table 2). So the magnetic field action on the radiative matrix elements is rather selective and depends on the structure of initial and final states and on the type of transition (7T or cr). 

Table 2. The factors q mx1- n V f°r maSnetic induced corrections to the matrix elements of radiative 7r-transitions in the Lyman nOA-) —> Is) and Balmer series nOA- —> 12s) and nmA+) — 2pm) with m = 0,1. The upper level index A is determined by ordering the absolute values of diamagnetic susceptibility, reP ...

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