Analyze the average kinetic and potential energies
Analyze the average kinetic and potential energies,(Ekinetic) and (Epotential), for the ground state (n=0) of the harmonic oscillator by carrying out the appropriate integrations.
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Determine the average of the square of the vibrational amplitude of the quantum harmonic oscillator about its equilibrium value (x2), for the ground state (n=0) and the first 2excited states (n=1 and n=2).
Two such tasks are carried out independently with completion times X and Y. Describe the joint probability density function of X and Y? Determine the probability that the completion time for X would be less than 2 seconds and the completion time f
Determine the average vibrational amplitude of the quantum harmonic oscillator about its equilibrium value, (x), for the ground state (n=0) and first two excited states (n=1 and n=2). Determine the physical meaning of this result?
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