# Homework Help: Potention in one dimension Help

1. Oct 11, 2009

### Shafikae

Can anyone help me with a problem. Please just answer whatever you can. Thanks. I have not started the problem because I dont know where to begin. I can solve physics problems but i just cant seem to start any of them off.

A classical particle of mass m moves in the presence of the following potential in one dimension:

V (x) = V0 [e^(-2γx) - 2e^(-γx) ]

(a) Find the minimum of the potential V and sketch the graph of V.

(b) Find the points of return depending on the energy. For which energies is the motion of m bounded?

(c) Expand V around its minimum up to second order and find corresponding approximation for the period of the oscillation.

Last edited: Oct 11, 2009
2. Oct 12, 2009

### gabbagabbahey

Part (a) is just basic high school calculus. Surely you know how to find the minimum (or maximum) of a function?

For part (b), what is the definition of a "point of return"? What is true of the total energy for a bounded motion?

For part (c), just use a Taylor expansion (again, basic calculus!). Compare your result to the potential of a harmonic oscillator and use that to find the period.