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Chapter 13 Classical and Quantum
Statistics
)
,
(
p
r
r
r
p
r
r
r
In this chapter, we are interested in determining the equilibrium
configuration for a microcanonical ensemble subject to Eqs.
(12.7) and (12.8), i.e., the total number of particles is N and the
total energy of particles is U.
Our goal is to find the occupation
number of each energy level, (N
1
, N
2
,..N
n
), corresponding to
the maximum TD probability
ω
max
.
To do this, we need to know
the details describing the states of particles at an energy level.
In classical mechanics, particles are described by their
translational states
,
is the general coordinate,
is
the general momentum. Both
and
can be determined.
Thus,
classical particles are distinguishable
by their motion
states.
The TD statistics describing classical particles is called
the
classical statistics
, i.e.,
Boltzmann statistics
.
r
r
p
r
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View Full DocumentIn contrast,
in quantum mechanical description, particles are
indistinguishable
since their motion cannot be traced.
Moreover, quantum particles may have spin as well.
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 Winter '10
 Dr.asdas
 mechanics, Energy

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