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- Path: sparky!uunet!mtnmath!paul
- From: paul@mtnmath.UUCP (Paul Budnik)
- Newsgroups: sci.physics
- Subject: Re: hidden variables
- Message-ID: <524@mtnmath.UUCP>
- Date: 26 Jan 93 20:04:03 GMT
- References: <1993Jan16.062848.21938@cs.wayne.edu> <1993Jan26.061326.19668@cs.wayne.edu>
- Organization: Mountain Math Software, P. O. Box 2124, Saratoga. CA 95070
- Lines: 34
-
- In article <1993Jan26.061326.19668@cs.wayne.edu>, atems@igor.physics.wayne.edu (Dale Atems) writes:
- > [...]
- > Sorry, I don't follow your objection. This wave function isn't
- > dependent on the relative angle, explicitly or otherwise. I can expand
- > the polarization kets in any basis I choose. I choose to expand each
- > ket in a basis aligned with the polarizer the "attached" wavefront
- > encounters. This is to separate out the term that gets absorbed from
- > the one that goes through. The relative angle comes from applying that
- > expansion separately to the kets attached to distant wavefronts.
-
- The `sin@' and `cos@' terms make the equation you gave are explicitly
- nonlocal. That equation cannot be derived from the Schrodinger equation.
- What you seem to be claiming is that this equation does not define
- the wave function but serves is a basis for determining the wave
- function on the other side of the two polarizers. I do not understand
- this distinction unless you are invoking some form of the collapse postulate
- at the point the wave function traverses the polarizer. The explicitly
- nonlocal equation you are using is not Lorentz invariant and is
- inconsistent with the relativistic Schrodinger equation.
-
- > The wave function itself is unaffected by changing the transmission
- > angle of a polarizer, except that it affects the component absorbed
- > when a wavefront encounters it -- exactly as in the one-photon case.
-
- A wave function model in which the amplitude of one
- component on the other side of a polarizer is an explicit function of a
- distant polarizer angle is not local and not Lorentz invariant. In the one
- photon case, the polarization of the wave function just past the polarizer
- changes *continuously* with the angle of the polarizer. If you build
- such a continuos change as a function of a remote polarizer angle into
- a wave function for the singlet state case you will have an explicitly
- nonlocal non Lorentz invariant wave function.
-
- Paul Budnik
-