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Quantum Mechanics As A Stochastic Theory Where You Can Continously Transform Between Pure States
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bho...@yahoo.com
Feb 7, 2012, 10:46:02 AM2/7/12
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Hi Guys
I recently came across the following paper on the foundations of QM;
http://arxiv.org/pdf/quant-ph/0111068v1.pdf
It suggests QM is basically a theory that allows continuous
transformations between pure states. In standard probability theory
the pure states are the states of dead certainty and they are
countable so you really can't have a continuous transformation between
pure states. But if you demand it you find you have to go to complex
numbers. So if you say QM is a theory whose pure states are a complex
vector space and apply Gleasons Theorem you can derive all of QM.
What do others think.
Thanks
Bill
I recently came across the following paper on the foundations of QM;
http://arxiv.org/pdf/quant-ph/0111068v1.pdf
It suggests QM is basically a theory that allows continuous
transformations between pure states. In standard probability theory
the pure states are the states of dead certainty and they are
countable so you really can't have a continuous transformation between
pure states. But if you demand it you find you have to go to complex
numbers. So if you say QM is a theory whose pure states are a complex
vector space and apply Gleasons Theorem you can derive all of QM.
What do others think.
Thanks
Bill
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