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Consider a particle that is confined by a one-dimensional quadratic (harmonic) potential of the form U9x)=Ax^2 (where A is a positive real number).
A. What is the Hamiltonian of the particle(expressed as a function of velocity v and x)?
B. Use the virial theorem to obtain the avg potential energy of the particle?
C. what is the avg kinetic energy of the particle(expressed as a function of T)?
D. What would the avg kinetic and potential energies be if U(x)= Ax^6?
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