Recent content by Sacrilicious

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    Period of an Oscillating Particle

    That appears to be the case. I found some relevant relations while looking through the notes again. F = -\frac{dU}{dx} So that would give a driving force of F = -2ax -4b x^3 = m\ddot{x} The Hamiltonian is also given as H = \frac{p^2}{2m} + U(x) Would that be interchangeable with the...
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    Period of an Oscillating Particle

    Homework Statement A particle of mass m is oscillating with amplitude A in 1D (without damping). Using conservation of energy, I'm asked to determine the period T with the correct proportionality factor and period of integration. Homework Equations Potential energy: U(x) = a x^2 + b x^4...