Suppose you had three particles in a one-dimensional harmonic oscillator potential, in thermal equilibrium, with a total energy E = (11/2)hw. Assuming these particles distinguishable and are identical bosons ignoring spin i. What are the possible distributions? ii. How many distinct (three-particle) states are there for each distribution? iii. What is the most probable distribution? iv. If you picked a particle at random and measured its energy, what values might you get, and what is the probability of each one? What is the most probable energy?

Suppose you had three particles in a one-dimensional harmonic oscillator potential, in thermal equilibrium, with a total energy E = (11/2)hw. Assuming these particles distinguishable and are identical bosons ignoring spin i. What are the possible distributions? ii. How many distinct (three-particle) states are there for each distribution? iii. What is the most probable distribution? iv. If you picked a particle at random and measured its energy, what values might you get, and what is the probability of each one? What is the most probable energy?