1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Pendulum & Partition Function Problem

  1. Dec 4, 2011 #1
    1. A pendulum of mass m hangs from a weightless string of length l
    The string makes an angle θ with the vertical

    Find
    (i) <θ>
    (ii) <θ^2>
    (iii) <v>
    (iiii) <v^2>

    2. Relevant equations
    The Hamiltonian in terms of θ and the angular momentum L=

    H= L^2/2ml^2 + mgl(1-cosθ)

    3. The attempt at a solution
    I have the Hamiltonian derived for the pendulum
    I am unsure how to derive the partition function in terms of the angular momentum and θ from the equation
    Z=e^(-βH) where H is the Hamiltonian and β=1/T
     
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted



Similar Discussions: Pendulum & Partition Function Problem
Loading...