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Kashmir

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*Pathria, Statistical mechanics*

"The microstate of a given classical system, at any time, may be defined by specifying the instantaneous positions and momenta of all the particles constituting the system. Thus. If ##N## is the number of particles in the system, the definition of a microstate requires the specification of ##3 N## position cuordinates and ##3 N## momentum coordinates. Geometrically, the set of coordinates ##(q, p)## may be regarded as a point in a ##6N## dimensional phase space"

( ##\omega## be the "volume" in the phase space ) the author says

"...

Since for one microstate we have one point in phase space then how does there exist a volume in phase space that corresponds to one microstate?

"The microstate of a given classical system, at any time, may be defined by specifying the instantaneous positions and momenta of all the particles constituting the system. Thus. If ##N## is the number of particles in the system, the definition of a microstate requires the specification of ##3 N## position cuordinates and ##3 N## momentum coordinates. Geometrically, the set of coordinates ##(q, p)## may be regarded as a point in a ##6N## dimensional phase space"

( ##\omega## be the "volume" in the phase space ) the author says

"...

**we need to discover a fundamental volume ##\omega_0## that could be regarded as "equivalent to one microstate"**Since for one microstate we have one point in phase space then how does there exist a volume in phase space that corresponds to one microstate?

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