# phase-space volumes or cells for N particle system

For $N$ non interacting spinless particles in a volume, we have $3N$ degrees of freedom and we can divide the phase space into $6N$ dimensional cells of volume $h^{3N}$.

Each cell represents a state of the system. That means the system can be in any of those cells.

How can a cell be visualized? Is it combination of many volumes of the individual particles where the particles might be in? Fixing one particle in its one of the individual states (i.e., in one cell when the system is only one spinless particle) and all the possible combination of the other particles in their cells, does this represent one cell for the $N$ particle system?

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Why are we dividing phase space into cells in the first place? My guess is whatever reference told you to do that didn't give a particularly compelling reason. –  DanielSank Jul 24 at 21:39