Consider a system of N localized particles moving under the influence of a quantum, 1D, harmonic oscillator potential of frequency ω. The energy of the system is given by
E=(1/2)N[itex]\hbar[/itex]ω + M[itex]\hbar[/itex]ω
where M is the total number of quanta in the system.
compute the total number of microstates as a function of N and M.
not sure. Maybe the volume of a 1N dimentional sphere?
The Attempt at a Solution
My first attempt was simply (M+N-1)!/(M)!(N-1)!
but I was re reading the text, and was wondering if I should back up and use the procedure outlined for the ideal gas, but using the positive 1/8 of a 1N dimentional sphere rather than a 3N dimentional sphere. Any thoughts?