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Transitions between atomic energy levels and selection rules
Transitions between atomic energy levels and selection rules

... For classical fields the potentials A(r, t) and Φ(r, t) are real-valued functions. For a fully quantum mechanical treatment of a system consisting of an atom and an electromagnetic field we need a Hamiltonian encompassing the atomic degrees of freedom, the degrees of freedom of the field and intera ...
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... A set of functions f1 ( x), f 2 ( x), ....... f n ( x) is said to be linearly dependent on an interval I if there exist constants c1 , c2 ,.......cn , not all zero, such that c1 f1 ( x)  c2 f 2 ( x)  ......  cn f n ( x)  0 for every x in the interval. If the set of functions is not linearly depe ...
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