calculate number of microstates of n harmonic oscillatorsby opaka Tags: harmonic oscillator, microstates 

#1
Jan2113, 10:52 AM

P: 15

1. The problem statement, all variables and given/known data
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. 2. Relevant equations not sure. Maybe the volume of a 1N dimentional sphere? 3. The attempt at a solution My first attempt was simply (M+N1)!/(M)!(N1)! 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? 



#2
Jan2113, 04:22 PM

Sci Advisor
HW Helper
Thanks
P: 25,176




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