what is the minimum size of phase space cell
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In classical statistical mechanics, the statement (∆Ω)N = h3N is justified considering the product of an N independent quantum one-particle system or from the pure dimensional point of view: the Planck constant has dimensions of the two-dimensional phase-space volume x ×p, and each particle occupies a volume ∆Ω = h3.
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The minimum size of a phase space cell is 2 in classical and quantum mechanics.
Explanation:
- Plotting a particle's momentum and position on a two-dimensional graph is referred to as phase space. In a 2N-dimensional space, it also refers to the tracking of N particles.
- In both classical and quantum statistics, a phase cell must have a minimum size of 2.
- Classical statistics allows for easy differentiation of the particles because they are not tightly packed.
- A particle's position, energy, and force of interaction, among other things, may all be calculated using classical statistics.
- The particles cannot be differentiated and exist in a single state in quantum statistics.
- Both the phase-space and elementary-cell volume are essentially insensitive to minute changes in the distribution function due to the extremely huge number of microstates.
Thus, the minimum size of a phase space cell is 2 in classical and quantum mechanics.
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