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## Main Question or Discussion Point

can anyone give me any ideas on how to evaluate this:

<z>=<[tex]\Phi[/tex]1|z|[tex]\Phi[/tex]2>

(for say hydrogen wavefunctions). Similarly

<x+iy>=<[tex]\Phi[/tex]1|x+iy|[tex]\Phi[/tex]2>

FYI, I'm trying to understand how radiation is polarised (an external B field polarises radiation, so we must consider the dipole transition matrix thus:

<r>=<[tex]\Phi[/tex]1|

so I am simply resolving 'r' into two components (in the xy plane and z axis).

<z>=<[tex]\Phi[/tex]1|z|[tex]\Phi[/tex]2>

(for say hydrogen wavefunctions). Similarly

<x+iy>=<[tex]\Phi[/tex]1|x+iy|[tex]\Phi[/tex]2>

FYI, I'm trying to understand how radiation is polarised (an external B field polarises radiation, so we must consider the dipole transition matrix thus:

<r>=<[tex]\Phi[/tex]1|

**r**|[tex]\Phi[/tex]2>so I am simply resolving 'r' into two components (in the xy plane and z axis).