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Bell's theorem and the QM derivation of P(a,b)

PostPosted: Wed Nov 04, 2015 4:56 pm
by Gordon Watson
1. In Bell's famous (1964), at eq. 3, we see the QM formulation for the EPRB expectation:

P(a,b) = <σ1.a σ2.b> = -a.b. (1)

2. I have no issue with this QM formulation BUT: There are surprisingly many QM ways to achieve the result.

3. So I am SERIOUSLY interested in collecting all such QM ways: especially the shortest AND your favourite AND those using Dirac notation!

4. I will happily share all that I find. PM me if you'd like a direct email connection for attachments, etc; privacy assured!

Thanks; Gordon

Re: Bell's theorem and the QM derivation of P(a,b)

PostPosted: Wed Nov 04, 2015 5:48 pm
by FrediFizzx
Gordon Watson wrote:1. In Bell's famous (1964), at eq. 3, we see the QM formulation for the EPRB expectation:

P(a,b) = <σ1.a σ2.b> = -a.b. (1)

2. I have no issue with this QM formulation BUT: There are surprisingly many QM ways to achieve the result.

3. So I am SERIOUSLY interested in collecting all such QM ways: especially the shortest AND your favourite AND those using Dirac notation!

Probably the most simple derivation is the one Joy does here eqs. (3-5).

Then there is the following,

https://drive.google.com/file/d/0B67qmv ... iZjBi/view
http://plato.stanford.edu/entries/bell-theorem/#2
http://www.mathpages.com/home/kmath521/kmath521.htm