The Factorization Method, Hydrogen Intensities, and Related Problems

The factorization method enables us to calculate in an elementary way the discrete-discrete and discrete-continuous transition probabilities of hydrogen atoms by means of recurrence formulae. From a key intensity all others are found by a repeated application of an l-changing recurrence formula or an n^'-changing operator. The results are given:for l-changing in the formulae: (4.2), (4.3),for n^'-changing in the formulae: (5.1), (5.2) with (3.2).Some of the formulae apply to more general matrix components.