A Unified Decoherence-Based Model of Microparticles in a Solution

Article Preview

Abstract:

The complex behavior of microparticles in a solution calls for different theoretical backgrounds. Here, we follow the line of two, recently developed theories on individuality, on the one hand, and conformational transitions of macromolecules in a solution, on the other. Given as separate theories, the two models may raise certain controversy in respect to their mutual consistency. Needless to say, their mutual consistency is necessary for the validity of the theories both in a general context as well as in search for a unified physico/chemical picture concerning the microparticles in a solution dynamics. We point out the consistency of these theories based on the definition of a molecule through its constituent subsystems (e.g. the center-of-mass and the “conformation” subsystems).

You might also be interested in these eBooks

Info:

Periodical:

Pages:

405-410

Citation:

Online since:

September 2007

Export:

Price:

[1] H. Primas: Chemistry, Quantum Mechanics and Reductionism, Perspectives in Theoretical Chemistry (Springer, Berlin 1983).

Google Scholar

[2] A. Amann: Synthese Vol. 97 (1993), p.125.

Google Scholar

[3] C. Levinthal: J. Chem. Phys. Vol. 65 (1968), p.44.

Google Scholar

[4] M. Dugić: Europhys. Lett. Vol. 60 (2002), p.7.

Google Scholar

[5] D. Raković, M. Dugić and M. Plavšić: Mater. Sci. Forum Vol. 453-454 (2004), p.521.

DOI: 10.4028/www.scientific.net/msf.453-454.521

Google Scholar

[6] M. Dugić, D. Raković and M. Plavšić: in Finely Dispersed Particles: Micro-, Nano-, and Atto-Engineering, Eds. A. Spasić and J-P. Hsu (Taylor & Francis CRC Press, Boca Raton, USA 2005).

Google Scholar

[7] M. Dugić: Quantum Computers & Computing Vol. 1 (2000), p.102.

Google Scholar

[8] Throughout the paper, by semiclassical", we do not assume the limit 0→h . Rather, we use this term as a synonym for the "approximately classical.

Google Scholar

[9] G. Jona-Lasinio and P. Claverie: Prog. Theor. Phys. Suppl. Vol. 86 (1986), p.54.

DOI: 10.1143/ptps.86.54

Google Scholar

[10] R. Omnes: The Interpretation of Quantum Mechanics (Princeton Univ. Press, Princeton 1994).

Google Scholar

[11] B. Brezger, L. Hackermüller, S. Uttenthaler, J. Petschinka, M. Arndt and A. Zeilinger: Phys. Rev. Lett. Vol. 88 (2002), p.100404.

DOI: 10.1103/physrevlett.88.100404

Google Scholar

[12] L. Hackermüller, S. Uttenthaler, K. Hornberger, E. Reiger, B. Brezger, A. Zeilinger and M. Arndt: Phys. Rev. Lett. Vol. 91 (2003), p.090408.

DOI: 10.1103/physrevlett.91.090408

Google Scholar

[13] Č. Brukner, V. Vedral and A. Zeilinger: Phys. Rev. A Vol. 73 (2006), p.012110.

Google Scholar

[14] W. H. Zurek: Prog. Theor. Phys. Vol. 89 (1993), p.281.

Google Scholar

[15] W. H. Zurek: Phys. Today Vol. 44 (1991), p.36.

Google Scholar

[16] M. Brune, E. Hagley, J. Dreyer, X. Maître, A. Maali, C. Wunderlich, J. M. Raimond and S. Haroche: Phys. Rev. Lett. Vol. 77 (1996), p.4887.

DOI: 10.1103/physrevlett.77.4887

Google Scholar

[17] H. Amann, B. Gray, I. Shvarchuck and N. Christensen: Phys. Rev. Lett. Vol. 80 (1998), p.4111.

Google Scholar

[18] L. Hackermüller, K. Hornberger, B. Brezger, A. Zeilinger and M. Arndt: Nature Vol. 427 (2004), p.711.

DOI: 10.1038/nature02276

Google Scholar

[19] P. Grigolini: Quantum Mechanical Irreversibility and Measurement (World Scientific, Singapore 1993).

Google Scholar

[20] The time average of the off-diagonal terms reads: ( ) ( )* 0 1/ exp{ } 0 T i j i j T C C i tδ δ− − = ∫ , with the constraint { }( ) 1 sup i i T δ δ − >> −.

Google Scholar

[21] Only certain degrees of freedom of a system decohere (e. g. the center-of-mass coordinates). The rest remain intact by the environment, thus maintaining their genuine-quantum mechanical-nature.

Google Scholar

[22] M. Dugić and J. Jeknić: Int. J. Theor. Phys. (in press).

Google Scholar

[23] P. Zanardi, D. A. Lidar and S. Lloyd: Phys. Rev. Lett. Vol. 92 (2004), p.060402.

Google Scholar

[24] H. Barnum, G. Ortiz, R. Somma and L. Viola: Eprint arXiv quant-ph/0506099.

Google Scholar