Suppose that the energy of a particle can be represented by the expression E(z) = az², where z is a coordinate or momentum and can take on all values from -∞ to + 0. Assuming that the particle obeys Boltzmann statistics, find: 1. The average energy per particle for a system of such particles. 2. The average of the square of the energy of such particles. 3. The standard deviation of the energy of such particles.
Suppose that the energy of a particle can be represented by the expression E(z) = az², where z is a coordinate or momentum and can take on all values from -∞ to + 0. Assuming that the particle obeys Boltzmann statistics, find: 1. The average energy per particle for a system of such particles. 2. The average of the square of the energy of such particles. 3. The standard deviation of the energy of such particles.
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Transcribed Image Text:Suppose that the energy of a particle can be represented by the expression E(z) = az²,
where z is a coordinate or momentum and can take on all values from -∞ to +∞0.
Assuming that the particle obeys Boltzmann statistics, find:
1. The average energy per particle for a system of such particles.
2. The average of the square of the energy of such particles.
3. The standard deviation of the energy of such particles.
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