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- Newsgroups: sci.physics
- Path: sparky!uunet!psinntp!scylla!daryl
- From: daryl@oracorp.com (Daryl McCullough)
- Subject: Re: hidden variables
- Message-ID: <1993Jan22.133037.6880@oracorp.com>
- Organization: ORA Corporation
- Date: Fri, 22 Jan 1993 13:30:37 GMT
- Lines: 34
-
- paul@mtnmath.UUCP (Paul Budnik) writes:
-
- >In article <FRANL.93Jan19202211@draco.centerline.com>, franl@centerline.com
- >(Fran Litterio) writes:
- >> [...] I've heard that the wavefunction is defined in phase
- >> space rather than physical space (when more than a single particle's
- >> position is involved). [...]
- >> In a sense, the wavefunction encodes instantaneous
- >> knowledge of distant events, since a point in phase space encodes
- >> information about physically separate quantum states at a sinlge point
- >> in time (in a given frame of reference).
- [stuff deleted]
- >
- >One is forced to use phase space because the wave functions for two
- >separate particles will overlap in physical space. One needs some method
- >to represent the probability of finding particle A at location A1 and
- >particle B at location B1. One cannot represent this without using a phase
- >space that includes position coordinates for both particles.
-
- No, that's not true. In the case of identical particles, one can do
- without phase space by just using the particle density, which gives
- the expected number of particles in a unit volume. Phase space is only
- needed for distant correlations between particles. It is precisely the
- violation of Bell's inequality that forces the use of phase space for
- describing quantum mechanics. If quantum mechanics obeyed Bell's
- inequalities, then there would be a local description of quantum
- mechanics that does not use phase space.
-
- Daryl McCullough
- ORA Corp.
- Ithaca, NY
-
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