14.07.2013 Views

The Mermin-Wagner Theorem - Condensed Matter Theory Group

The Mermin-Wagner Theorem - Condensed Matter Theory Group

The Mermin-Wagner Theorem - Condensed Matter Theory Group

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

How symmetry breaking occurs in principle<br />

Actors<br />

Proof of the <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />

Discussion<br />

<strong>The</strong>rewith we have found<br />

[C, H] , C †<br />

<br />

−<br />

<strong>The</strong> Bogoliubov inequality<br />

<strong>The</strong> <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem<br />

≤ 4 2 |B0M(T , B0)|<br />

+ 8 2 S(S + 1) |Jmp|<br />

2 k2 |Rm − Rp| 2<br />

m,p<br />

≤ 4 2 |B0M(T , B0)| + 4Nk 2 4 QS(S + 1)<br />

Andreas Werner <strong>The</strong> <strong>Mermin</strong>-<strong>Wagner</strong> <strong>The</strong>orem

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!