An example of the Heisenberg method

The matrix equation to obtain the frequencies of the radiation emitted by hydrogen (i.e. the 'spectral lines' of hydrogen) was written in the form:

x x x x x

x x x x x x x x x x x x x x x matrix representing frequency x x x x x x x x x x x x x x x x x x x x x x x x x x matrix representing hydrogen x x x x x x x x x x x x x x x x x x x x x x x x x matrix of experimental numbers

The 'application' of the frequency matrix to the matrix for the hydrogen atom followed the rule of matrix multiplication according to Cayley's matrix algebra.

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