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- From: middle@npac.syr.edu (A. Middleton)
- Newsgroups: sci.physics
- Subject: Re: the nature of exclusion
- Message-ID: <1992Aug19.130152.15632@newstand.syr.edu>
- Date: 19 Aug 92 17:01:52 GMT
- References: <1992Aug14.210429.23650@galois.mit.edu> <1992Aug18.214628.9544@math.ucla.edu>
- Organization: Syracuse University NPAC/SCCS
- Lines: 18
-
- In article <1992Aug18.214628.9544@math.ucla.edu>, barry@arnold.math.ucla.edu (Barry Merriman) writes:
- >In article <1992Aug14.210429.23650@galois.mit.edu> jbaez@zermelo.mit.edu (John
- >C. Baez) writes:
- >> Certainly compressing a gas of fermions is harder than compressing a gas
- >> of bosons because of Pauli exclusion. You can say "I'll try hard to
- >> squeeze it down so they all get squished into the same state" -- but
- >> even as you squeeze down the position you let your fermions occupy,
- >> there's plenty of room in *phase* space
- >
- >right, but then that implies as I compress in space I expand in
- >momentum, which would seem to imply ther temperature goes up.
- > ...
-
- More momentum does not necessarily mean higher temperature. Zero
- temperature means putting the fermions in the lowest energy state
- POSSIBLE. Since the lowest energy state is one electron of each
- spin in each momentum state, the ground state has kinetic energy.
- This kinetic energy will grow as the box shrinks.
-