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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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Category:- Chemistry
Reference No.:- M9474524

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