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Classical Quantization: Two Possible Approaches

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Chaotic Behavior in Quantum Systems

Part of the book series: NATO ASI Series ((NSSB,volume 120))

Abstract

Two classical results (Archimedean quiver; time-reversal invariance) are reconsidered under the aspect of possibly yielding a limit to observation from within. A historical question concerning a related idea of Maxwell is posed.

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References

  1. O. E. Rossler, Chaos, in: Structural Stability in Physics, eds. W. Glittinger and H. Eikemaier, pp. 290–309, Springer-Verlag, New York-Berlin (1979).

    Google Scholar 

  2. J. Ford, How random is a coin toss? Physics Today, 4: 40–47 (1983).

    Article  Google Scholar 

  3. Ya. G. Sinai, On the foundations of the ergodic hypothesis for a dynamical system of statistical mechanics, Sov. Math. Dokl., 4:1818–1822 (1963).

    MathSciNet  Google Scholar 

  4. J. D. Farmer, Information dimension and the probabilistic structure of chaos, Z. Naturforsch., 37a:1304–1325 (1982).

    MathSciNet  ADS  Google Scholar 

  5. O. E.,Rössler, The chaotic hierarchy, Z. Naturforsch., 38a: 788–801 (1983).

    Google Scholar 

  6. J. C. Maxwell, Comments on the dynamical theory of the gases, I. Philos. Mag., 19:19–32 (1860).

    Google Scholar 

  7. F. Reif, Statistical Physics, Berkeley Physics Course Vol. 5, McGraw-Hill, N.Y. (1965).

    Google Scholar 

  8. O. E. Rössler, Chaos and chemistry, in: Nonlinear Phenomena in Chemical Dynamics, eds. C. Vidal and A. Pacault, pp. 79–87, Springer-Verlag, New York — Berlin (1981).

    Chapter  Google Scholar 

  9. O. E. Rossler, Macroscopic behavior in a simple chaotic Hamiltonian system, in: 1982 Sitges Conference, ed. L. Garrido, Lecture Notes in Physics, 179:67–77 (1983).

    Google Scholar 

  10. L. Boltzmann, Lectures on Gas Theory, Part I, Section 1.3, University of California Press, Berkeley (1964); Barth, Leipzig (1896).

    Google Scholar 

  11. K. Gödel, On Formally Undecidable Properties, Basic Books, N.Y. (1962); trans, of: On formally undecidable theorems of Principia Mathematica and related systems, Monatshefte f. Math, u. Physik., 38:173–188 (1931).

    Google Scholar 

  12. E. Fredkin, Digital information mechanics, M.I.T. Preprint, “draft” (1983).

    Google Scholar 

  13. D. Finkelstein and S. R. Finkelstein, Computer interactivity simulates quantum complexity, Int. J. Theor. Phys., 22, (1983), in press.

    Google Scholar 

  14. E. F. Moore, Gedanken experiments on sequential machines, in; Automata Studies, eds. C. E. Shannon and J. McCarthy, Princeton University Press, Princeton (1956).

    Google Scholar 

  15. M. Zwick, Quantum measurement and Gödel’s proof, Speculations Science Technol., 1: 135 (1978).

    Google Scholar 

  16. D. Finkelstein, Personal communication, July(1983).

    Google Scholar 

  17. J. C. Maxwell, Theory of Heat, Allen and Unwin, London (1872).

    Google Scholar 

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© 1985 Plenum Press, New York

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Rössler, O.E. (1985). Classical Quantization: Two Possible Approaches. In: Casati, G. (eds) Chaotic Behavior in Quantum Systems. NATO ASI Series, vol 120. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2443-0_23

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  • DOI: https://doi.org/10.1007/978-1-4613-2443-0_23

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9485-6

  • Online ISBN: 978-1-4613-2443-0

  • eBook Packages: Springer Book Archive

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