One excersise of my current homework for experimental physics (Ba, 4th term) is giving me troubles, because I have no idea where to start.(adsbygoogle = window.adsbygoogle || []).push({});

Excersise:

Stark effect: Calculate the electric dipole moment for the interference of 2s and 2p (m=0) states (hydrogen).

The wave functions are given as:

psi_1 = (2)^(-0.5) * (psi_200 + psi_210)

psi_2 = (2)^(-0.5) * (psi_200 - psi_210)

with:

psi_200 = 0.25*(2*pi)^(-0.5) * a_0^(-3/2) * (2 - (r/a_0)) * exp(-r/2a_0)

psi_210 = 0.25*(2*pi)^(-0.5) * a_0^(-3/2) * (r/a_0) * cos(theta) * exp(-r/2a_0)

a_0 is the Bohrian radius

I qualitatively know what the Stark effect is about, but I seem to have no clue how to calculate the dipole moment using wave functions.

I already searched the internet and my books about the Stark effect and electric dipole moments, but all I found was nothing but descriptions of the effect itself and equations featuring the electric field.

The only idea I had so far was inserting the wave equation into SchrÃ¶dinger equation in order to calculate the Hamiltonian, but I didn't really succeed by doing so, because I couldn't do anything with it.

How can I calculate the dipole moment using wave functions?

Is the mathematical description of the Stark effect actually necessary?

Any hints (or book recommendations) would be highly appreciated.

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# Homework Help: Stark effect and electric dipole moments

Can you offer guidance or do you also need help?

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