Special Issue: Perspectives in Quantum Field Theory, Statistical Mechanics and Stochastics — Festschrift Dedicated to Prof. Francesco Guerra on the Occasion of His 60th BirthdayNo Access

DECOHERENCE IN HEISENBERG'S REPRESENTATION

PHILIPPE BLANCHARD

Physics Faculty and BiBoS, University of Bielefeld, 33615 Bielefeld, Germany

Search for more papers by this author

and

ROBERT OLKIEWICZ

Institute of Theoretical Physics, University of Wrocław, 50204 Wrocław, Poland

Search for more papers by this author

https://doi.org/10.1142/S0217979204024112Cited by:2 (Source: Crossref)

Abstract

Various physical effects resulting from environmental decoherence are discussed in the algebraic framework. An example of dynamical de-quantization of a quantum particle is considered.

Dedicated to Francesco Guerra on his 60th birthday

You currently do not have access to the full text article.
Recommend the journal to your library today!

References

W. H. Zurek, Phys. Rev. D 26, 1862 (1982), DOI: 10.1103/PhysRevD.26.1862. Web of Science, Google Scholar
E. Joos and H. D. Zeh, Z. Phys. B 59, 223 (1985), DOI: 10.1007/BF01725541. Web of Science, ADS, Google Scholar
D. Giulini et al. , Decoherence and the Appearance of a Classical World in Quantum Theory ( Springer , Berlin , 1996 ) . Google Scholar
Ph. Blanchard et al. (eds.) , Decoherence: Theoretical, Experimental and Conceptual Problems ( Springer , Berlin , 2000 ) . Google Scholar
R. Omnes, Phys. Rev. A 65, 052119 (2002), DOI: 10.1103/PhysRevA.65.052119. Web of Science, Google Scholar
D. Braun, F. Haake and W. T. Strunz, Phys. Rev. Lett. 86, 2913 (2001), DOI: 10.1103/PhysRevLett.86.2913. Web of Science, Google Scholar
R. Alicki, Phys. Rev. A 65, 034104 (2002), DOI: 10.1103/PhysRevA.65.034104. Web of Science, Google Scholar
R. Omnes , Understanding Quantum Mechanics ( Princeton University Press , New Jersey , 1999 ) . Google Scholar
J. M. Raimond, M. Brune and S. Haroche, Rev. Mod. Phys. 73, 565 (2001), DOI: 10.1103/RevModPhys.73.565. Web of Science, ADS, Google Scholar
Ph. Blanchard and R. Olkiewicz, Rev. Math. Phys. 15, 217 (2003), DOI: 10.1142/S0129055X03001631. Link, Web of Science, Google Scholar
A. Amann, Fortschr. Physik 34, 167 (1986). Web of Science, ADS, Google Scholar
R. Alicki and K. Lendi , Quantum Dynamical Semigroups and Applications ( Springer , Berlin , 1987 ) . Google Scholar
A. J. Leggettet al., Rev. Mod. Phys. 59, 1 (1987), DOI: 10.1103/RevModPhys.59.1. Web of Science, ADS, Google Scholar
P. Zanardi and M. Rasetti, Phys. Rev. Lett. 79, 3306 (1997), DOI: 10.1103/PhysRevLett.79.3306. Web of Science, ADS, Google Scholar
W. G. Unruh and W. H. Zurek, Phys. Rev. D 40, 1071 (1989), DOI: 10.1103/PhysRevD.40.1071. Web of Science, Google Scholar
J. Twamley, Phys. Rev. D 48, 5730 (1993), DOI: 10.1103/PhysRevD.48.5730. Web of Science, ADS, Google Scholar
D. Giulini, C. Kiefer and H. D. Zeh, Phys. Lett. A 199, 291 (1995), DOI: 10.1016/0375-9601(95)00128-P. Web of Science, ADS, Google Scholar
W. H. Zurek, Phys. Rev. D 24, 1516 (1981), DOI: 10.1103/PhysRevD.24.1516. Web of Science, ADS, Google Scholar
D. A. R. Dalvit, J. Dziarmaga and W. H. Zurek, Phys. Rev. Lett. 86, 373 (2001), DOI: 10.1103/PhysRevLett.86.373. Web of Science, ADS, Google Scholar
R. Olkiewicz, Ann. Physics 286, 10 (2000), DOI: 10.1006/aphy.2000.6086. Web of Science, ADS, Google Scholar
Ph. Blanchard and R. Olkiewicz, Phys. Rev. Lett. 90, 010403 (2003), DOI: 10.1103/PhysRevLett.90.010403. Web of Science, Google Scholar
J. Fröhlich, T. Tsai and H. Yau, Commun. Math. Phys. 225, 223 (2002), DOI: 10.1007/s002200100579. Web of Science, ADS, Google Scholar
M. Gell-Mann and J. B. Hartle, Phys. Rev. D 47, 3345 (1993), DOI: 10.1103/PhysRevD.47.3345. Web of Science, ADS, Google Scholar
P. Ługiewicz and R. Olkiewicz, J. Phys. A 35, 6695 (2002), DOI: 10.1088/0305-4470/35/31/312. ADS, Google Scholar
Ph. Blanchard, P. Ługiewicz and R. Olkiewicz, Phys. Lett. A (2003). Google Scholar
O. Bratteli and D. W. Robinson , Operator Algebras and Quantum Statistical Mechanics 2 ( Springer , New York , 1996 ) . Google Scholar
Ph. Blanchard and R. Olkiewicz, Phys. Lett. A 273, 223 (2000), DOI: 10.1016/S0375-9601(00)00507-7. Web of Science, ADS, Google Scholar