Saturday, October 18, 2008

Aharonov Bohm phase from self-adjointness

This week started the course in "Mathematical Quantum Mechanics" that I am co-teaching with Laszlo Erdös this term. Since I had to rush a bit in the end of yesterday's lecture, I composed some notes on how to extend the momentum operator in a self-adjoint way for the particle on the interval and how one can see an Aharonov-Bohm phase being the ambiguity of this procedure.

1 comment:

William said...

Hi Robert, I'm new to your blog but I found these notes to be a really good summary. The phase that comes up can also be related to the ambiguity in choosing a set of sampling points in Shannon's sampling theorem.

Incidentally, what happens when instead of p you consider p^2?