forked from lijiext/lammps
18 lines
323 B
TeX
18 lines
323 B
TeX
\documentclass[12pt]{article}
|
|
|
|
\begin{document}
|
|
|
|
$$
|
|
Z = \int d{\bf q} d{\bf p} \cdot \textrm{exp} [ -\beta H_{eff} ]
|
|
$$
|
|
|
|
$$
|
|
H_{eff} = \bigg(\sum_{i=1}^P \frac{p_i^2}{2m_i}\bigg) + V_{eff}
|
|
$$
|
|
|
|
$$
|
|
V_{eff} = \sum_{i=1}^P \bigg[ \frac{mP}{2\beta^2 \hbar^2} (q_i - q_{i+1})^2 + \frac{1}{P} V(q_i)\bigg]
|
|
$$
|
|
|
|
\end{document}
|