Topics in Statistic Mechanics
Topics in Statistic Mechanics
Topics in Statistic Mechanics
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Adv. Sta. Phy. Homework 5 XY Model Li,Zimeng PB06203182<br />
Proof done<br />
Once we have solved , we solve , we use Fourier Transformation or FT method<br />
to solve .<br />
3.2<br />
We def<strong>in</strong>e correlation function<br />
and its counterpart <strong>in</strong> momentum space<br />
, where k'=-k<br />
Because<br />
Therefore<br />
(3.2.0)<br />
so<br />
The above derivation used Gauss Integration,<br />
When d=2, we get
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