From: scerir (scerir@libero.it)
Date: Tue Apr 30 2002 - 07:19:24 MDT
> http://www.cosmiverse.com/news/science/science04290204.html
> "Exact uncertainty" brought to quantum world April 29, 2002 8:00 CDT
> Michael Hall, a theoretical physicist at Australian National University's
> Institute of Advanced Studies, set out to improve Heisenberg's uncertainty
> principle.
Prof. Hepp wrote a similar paper about 50 years ago.
If I remember well he also found Schroedinger's equation
working with Heisenberg's relations and other quantum
principles.
> Hall's resulting looks like Heisenberg's original relation, but Hall has
> an equation rather than an inequality. This is "a far stronger relation,"
> Hall told New Scientist. The result of Hall's equation gives exact
> uncertainty in the measurements of position and momentum.
It is interesting to know if he gives a different definition
of 'uncertainty'. Because, as far as I know, there are at least 5
different definitions of quantum 'uncertainty'. Also interesting
if he gives some real meaning to the time-energy uncertainty relation,
because this relation (present in every each book about quantum
mechanics) is completely meaningless (there are no clocks!).
Anyway here they are:
http://arxiv.org/find
1. quant-ph/0201084
Title: Quantum mechanics from a Heisenberg-type equality
Authors: Michael J. W. Hall, Marcel Reginatto
contribution to the symposium "100 Years of Werner Heisenberg -
Works and Impact" in Bamberg, to appear in Fortschritte der Physik
2. quant-ph/0102069
Title: Schrodinger equation from an exact uncertainty principle
Authors: Michael J. W. Hall, Marcel Reginatto
Comments: nature of fluctuations & differences from stochastic
mechanics clarified
Journal-ref: J. Phys. A 35 (2002) 3289-3303 www.iop.org/EJ
3. cond-mat/9910039
Title: The diffusion equation and the principle of minimum
Fisher information
Authors: Marcel Reginatto, Florian Lengyel
4. quant-ph/9909065
Title: Hydrodynamical formulation of quantum mechanics,
Kahler structure, and Fisher information
Authors: Marcel Reginatto
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