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Chaos and Irreversibility

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 57))

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Bibliography

  • M. C. Gutzwiller, Chaos in Classical and Quantum Mechanics, Springer, New York (1991).

    Google Scholar 

  • F. Haake, Quantum Signatures of Chaos, Springer, Berlin (1992).

    Google Scholar 

  • L. E. Reichl, The Transition to Chaos, Springer, New York (1992).

    Google Scholar 

  • M. Tabor, Chaos and Integrability in Nonlinear Dynamics, Wiley, New York (1989).

    MATH  Google Scholar 

  • G. M. Zaslavsky, Chaos in Dynamic Systems, Harwood, Langhorne, PA (1985).

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Recommended reading An assortment of widely different approaches to quantum chaos can be found in the following articles

  • I. C. Percival, “Regular and irregular spectra,” J. Phys. B 6 (1973) L229.

    Article  ADS  Google Scholar 

  • M. V. Berry, N. L. Balazs, M. Tabor, and A. Voros, “Quantum maps,” Ann. Phys. (NY) 122 (1979) 26.

    Article  MathSciNet  ADS  Google Scholar 

  • M. V. Berry, “Quantizing a classically ergodic system: Sinai’s billiard and the KKR method,” Ann. Phys. (NY) 131 (1981) 163.

    Article  MathSciNet  ADS  Google Scholar 

  • P. Pechukas, “Quantum chaos in the irregular spectrum,” Chem. Phys. Lett. 86 (1982) 553.

    Article  ADS  Google Scholar 

  • M. C. Gutzwiller, “The quantization of a classically ergodic system,” Physica D 5 (1982) 183; “Stochastic behavior in quantum scattering,” ibid. 7 (1983) 341.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • M. Feingold, N. Moiseyev, and A. Peres, “Classical limit of quantum chaos,” Chem. Phys. Lett. 117 (1985) 344.

    Article  ADS  Google Scholar 

  • G. Casati, B. V. Chirikov, I. Guarneri, and D. L. Shepelyansky, “Dynamical stability of quantum ‘chaotic’ motion in a hydrogen atom,” Phys. Rev. Lett. 56 (1986) 2437.

    Article  ADS  Google Scholar 

  • J. Ford, G. Mantica, and G. H. Ristow, “The Arnoľd cat: Failure of the correspondence principle,” Physica D 50 (1991) 493.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • G. P. Berman, E. N. Bulgakov, and G. M. Zaslavsky, “Quantum chaos of atoms in a resonant cavity,” Chaos 2 (1992) 257.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  • R. Schack and C. M. Caves, “Hypersensitivity to perturbations in the quantum baker’s map,” Phys. Rev. Lett. 71 (1993) 525.

    Article  ADS  Google Scholar 

Experimental quantum chaos

  • J. E. Bayfield, G. Casati, I. Guarneri, and D. W. Sokol, “Localization of classically chaotic diffusion for hydrogen atoms in microwave fields,” Phys. Rev. Lett. 63 (1989) 364.

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  • E. Doron, U. Smilansky, and A. Frenkel, “Experimental demonstration of chaotic scattering of microwaves,” Phys. Rev. Lett. 65 (1990) 3072.

    Article  ADS  Google Scholar 

  • O. Agam, S. Fishman, and R. E. Prange, “Experimental realizations of quantum chaos in dielectric waveguides,” Phys. Rev. A 45 (1992) 6773.

    Article  ADS  Google Scholar 

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© 2002 Kluwer Academic Publishers

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(2002). Chaos and Irreversibility. In: Peres, A. (eds) Quantum Theory: Concepts and Methods. Fundamental Theories of Physics, vol 57. Springer, Dordrecht. https://doi.org/10.1007/0-306-47120-5_11

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  • DOI: https://doi.org/10.1007/0-306-47120-5_11

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-3632-7

  • Online ISBN: 978-0-306-47120-9

  • eBook Packages: Springer Book Archive

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