1. The problem statement, all variables and given/known data Find the frequency of small oscillations around the minimum of the potential U(x)=1-e^(-x^2) 2. Relevant equations Force is the negative of the gradient of the potential... 3. The attempt at a solution Given the problem statement bit, "around the minimum," I take this as a hint to find the taylor expansion of U(x) to approximate the potential at the minimum. In doing the taylor expansion at 0, I get that: U(x) ≈ x^2 The force on a particle in this potential is given by: F = -dU/dx = -2x. And so we have that: F + 2x = 0 => mx'' + 2x = 0. Solving this differential equation, we have something of the form: x = A*cos(√(2/m)t - [itex]\phi[/itex]) So, we have, the angular frequency to be: ω = √(2/m). Finally, the frequency is then: [itex]\nu[/itex] = ω/(2∏) = √(2/m)/(2∏) = (2m∏^2)^(-1/2) Does this seem correct? I was a little confused that the frequency is dependent on the mass, but then I see that the potential given is independent of mass. But thats a bit odd. Thanks.