In addition to the requirements of their major programs, students are required to complete the University and
School requirements for graduation. For details please refer to the respective sections on this website.
Some courses used to fulfill Major and/or School Requirements can also fulfill University Common Core
Requirements. Students may reuse a maximum of 9 credits of these courses to count towards Common Core
Requirements.

For a more general Hamiltonian,
$$H\left(q_{1} \cdots p_{N}\right)=\sum_{i=1}^{N} \frac{p_{i}^{2}}{2 m_{i}}+U\left(q_{1} \cdots q_{N}\right)$$
prove the generalized equipartition theorem:
$$\left\langle x_{i} \frac{\partial H}{\partial x_{j}}\right\rangle=\tau \delta_{i j}$$

where $x_{1}=q_{1}, \ldots, x_{N}=q_{N}, x_{N+1}=p_{1}, \ldots x_{2 N}=p_{N}$. You will need to use the fact that $U$ is infinite at $q_{i}=\pm \infty$.

Consider a system of a large number of classical particles and assume a general dependence of the energy of each particle on the generalized coordinate or momentum component $q$ given by $\varepsilon(q)$, where
$$\lim _{q \rightarrow \pm \infty} \varepsilon(q)=+\infty$$
Show that, in thermal equilibrium, the generalized equipartition theorem holds:
$$\left\langle q \frac{\partial \varepsilon(q)}{\partial q}\right\rangle=\tau$$

myassignments-help数学代考价格说明

1、客户需提供物理代考的网址，相关账户，以及课程名称，Textbook等相关资料~客服会根据作业数量和持续时间给您定价~使收费透明，让您清楚的知道您的钱花在什么地方。

2、数学代写一般每篇报价约为600—1000rmb，费用根据持续时间、周作业量、成绩要求有所浮动(持续时间越长约便宜、周作业量越多约贵、成绩要求越高越贵)，报价后价格觉得合适，可以先付一周的款，我们帮你试做，满意后再继续，遇到Fail全额退款。

3、myassignments-help公司所有MATH作业代写服务支持付半款，全款，周付款，周付款一方面方便大家查阅自己的分数，一方面也方便大家资金周转，注意:每周固定周一时先预付下周的定金，不付定金不予继续做。物理代写一次性付清打9.5折。

Math作业代写、数学代写常见问题

myassignments-help擅长领域包含但不是全部: