文档介绍：NON-LOCALITY AND LOCALITY IN
THE STOCHASTIC INTERPRETATION
OF QUANTUM MECHANICS
D. BOHM and . HILEY
Department of Physics, Birkbeck College (London University), Malet Street, London WC1 E 7HX, UK
I
NORTH-HOLLAND - AMSTERDAM
PHYSICS REPORTS (Review Section of Physics Letters) 172, No. 3(1989) 93—122. North-Holland, Amsterdam
NON-LOCALITY AND LOCALITY IN THE STOCHASTIC
INTERPRETATION OF QUANTUM MECHANICS
D. BOHM and . HILEY
Department of Physics, Birkbeck College (London University), Malet Street, London WCI E 7HX. UK
Received August 1988
Contents:
I. The necessity of non-locality in the quantum theory 95 6. Extension to the Pauli equation 111
2. Brief résumé of the causal interpretation 97 7. Extension to relativity 114
3. The stochastic interpretation: the single particle 99 8. On the meaning of the non-Lorentz invariant background
4. The many particle system 104 field 118
5. Nelson’s theory of stochastic quantum mechanics 105 References 121
Abstract:
We review the stochastic interpretation of the quantum theory and show that, like the causal interpretation it necessarily involves non-locality.
pare and contrast our approach with that of Nelson. We then extend the stochastic interpretation to the Pauli equation. This lays the ground
for a further extension to the Dirac equation and therefore enables us to discuss this interpretation in a relativistic context. We find that a consistent
treatment of non-locality can be given and that it is indeed possible further to regard this non-locality as a limiting case of a purely local theory in
which the transmission of what we have called active information is not restricted to the speed of light. In this case both quantum theory and
e out as very good statistical approximations. However, because this basically local theory implies that these latter are not exactly
valid, it is possible to propose tests that could in principle distinguish such a theory from the current theories.
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