# Homework Help: Hamilton-Jacobi homework problem

1. Nov 26, 2009

### Nusc

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

It is well known that for a conservative motion there is a potential.
This potential is a function of coordinates only.

Prove this.

2. Relevant equations

3. The attempt at a solution

I think you have to take a definition of conservative motion then for example prove that for such a motion, the rotational forces equals to 0 and they don't depend on time, then it will mean that there is a potential field.

What is the equation for conservative motion?

2. Nov 26, 2009

### Nusc

Re: Hamilton-Jacobi

I guess we suppose that the general form of the force field is F=F(q,p,t)

3. Nov 27, 2009

### NruJaC

Re: Hamilton-Jacobi

In general, a force is conservative iff the path integral of F around some closed path is equal to 0. This is equivalent to stating that the curl of F = 0.