Abstract
A mobility phenomenon is typical for a large class of non-linear evolutions. It is shown that the mobility can be responsible for a “malignant” form of quantum mechanical non separability of two correlated systems. An explicit example based on Weinberg's non linear quantum mechanics is considered. We show that in such a theory a transfer of information without a transfer of energy is possible and discuss physical roots of this phenomenon. In Polchinski's approach this effect is not present.
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References
H. S. Ibarguen, A. Garcia and J. Pleba nski,J. Math. Phys. 30, 2689 (1989).
S. Weinberg,Ann. Phys. (NY)194, 336 (1989).
N. Gisin,Phys. Lett. 143A, 1 (1990).
I. Bialynicki-Birula and J. Mycielski,Ann. Phys. (NY)100, 62 (1976).
N. Gisin,Helv. Phys. Acta 62, 363 (1989).
B. Mielnik, private communication and a lecture at “Problems in Quantum Physics, Gdańsk' 89”, Gdańsk, Poland.
N. Gisin,Helv. Phys. Acta 63, 929 (1990).
J. Polchinski,Phys. Rev. Lett. 66, 397 (1991).
B. Mielnik,J. Math. Phys. 21, 44, (1980).
B. Mielnik,Comm. Math. Phys. 101, 323 (1985).
J. Pykacz and M.Żukowski,Phys. Lett. 127A, 1 (1988).
A. Peres,Phys. Rev. Lett. 63, 1114 (1989).
S. Weinberg,Phys. Rev. Lett. 63, 1115 (1989).
B. Mielnik, “Is the reduction of a wave packet indeed necessary in quantum mechanics?, ” inProblems in Quantum Physics-Gdańsk'89 J. Mizerskiet al., eds. ( World Scientific, Singapore, 1990).
I. Prigogine and I. Stengers,Order out of Chaos (Fontana Paperbacks, 1985)
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1 Permanent address: Laboratory of Dielectrics and Organic Semiconductors, Technical University of Gdańsk, Gdańsk, Poland.
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Czachor, M. Mobility and non-separability. Found Phys Lett 4, 351–361 (1991). https://doi.org/10.1007/BF00665894
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DOI: https://doi.org/10.1007/BF00665894