Hamiltonian

1. The problem statement, all variables and given/known data

Could someone get me started with Exercise 2.5.1 in Shankar's Principles of Quantum Mechanics?
Does this forum support TeX or LaTeX?

2. Relevant equations

3. The attempt at a solution

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 Blog Entries: 9 Recognitions: Homework Help Science Advisor Post the text of the problem for those of us who don't have the book, but might be willing to help you.

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Hamiltonian

Ad 2: Yes, use the [ tex] tag (without the space):
$$\left[-\frac{\hbar^2}{2 m} \nabla^2 + U(\mathbf{r}) \right] \psi (\mathbf{r}) = E \psi (\mathbf{r}).$$

 Show that if $$T = \sum_i\sum_jT_ij(q)q_i' q_j'$$, where $$q_i'$$'s are generalized velocities, then $$\sum p_i q_i' = 2T$$.
 Blog Entries: 9 Recognitions: Homework Help Science Advisor And was does the rest stand for? Work done so far? etc.
 T is kinetic energy and pi is the canonical momentum conjugate. Also, the apostrophes are derivatives. Sorry. There is not much work done so far. I wanted someone to give me a hint or just get me started.
 By the way, does anyone have Shankar's book? For a lot of his exercises you really need the context, so I want to know if I should keep posting questions from his book.

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 Quote by ehrenfest Show that if $$T = \sum_i\sum_jT_ij(q)q_i' q_j'$$, where $$q_i'$$'s are generalized velocities, then $$\sum p_i q_i' = 2T$$.
Since $p_{i}=\frac{\partial L}{\partial q^{i}}$, i gues the result is pretty obvious, don't you think ?