[1] |
Albert, D. Z., The Foundations of Quantum Mechanics and the Approach to Thermodynamic Equilibrium, British Journal for Philosophy of Science, 45, 669-677 (1994) |
[2] |
Alekseev, V. M.; Yakobson, M. V., Symbolic Dynamics and Hyperbolic Dynamic Systems, Physics Reports, 75, 287-325 (1981) |
[3] |
Balazs, N. L.; Voros, A., Chaos on the Pseudosphere, Physics Reports, 143, 109-240 (1986) |
[4] |
Ballentine, L. E., The Emergence of Classical Properties from Quantum Mechanics: New Problems from Old, (Ferraro, M.; Merwe, A.van der, Fundamental Problems in Quantum Physics (1995), Kluwer: Kluwer Dordrecht), 15-28 |
[5] |
Batterman, R., Chaos, Quantization, and the Correspondence Principle, Synthese, 89, 189-227 (1991) |
[6] |
Batterman, R., Quantum Chaos and Semiclassical Mechanics, (PSA 1992, Vol. 2 (1993), Philosophy of Science Association: Philosophy of Science Association East-Lansing, MI), 50-65 |
[7] |
Batterman, R., Chaos:Algorithmic Complexity vs Dynamical Instability (1994), preprint |
[8] |
Batterman, R.; White, H., Chaos and Algorithmic Complexity, Foundations of Physics, 26, 307-336 (1996) |
[9] |
Benatti, F., Deterministic Chaos in Infinite Quantum Systems (1993), Springer: Springer New York · Zbl 0771.60098 |
[10] |
Berman, G. P.; Rubaev, V. Y.; Zaslavsky, G. M., The Problem of Quantum Chaos in a Kicked Harmonic Oscillator, Nonlinearity, 4, 543-566 (1991) · Zbl 0721.60124 |
[11] |
Berry, M. V., Random Renormalization in the Semiclassical Long-Time Limit of a Precessing Spin, Physica D, 33, 26-33 (1988) · Zbl 0667.10026 |
[12] |
Berry, M. V., Some Quantum-to-Classical Asymptotics, (Giannoni; etal. (1991)), 255-303, (1991) |
[13] |
Blank, J.; Exner, P.; Miloslow, H., Hilbert Space Operators in Quantum Mechanics (1994), American Institute of Physics: American Institute of Physics New York · Zbl 0873.46038 |
[14] |
Carruthers, P.; Nieto, M. M., Phase and Angle Variables in Quantum Mechanics, Reviews of Modern Physics, 40, 411-440 (1968) |
[15] |
Casati, G., Chaotic Behavior in Quantum Systems: Theory and Applications (1985), Plenum Press: Plenum Press New York |
[16] |
Casati, G.; Chirikov, B. V., The Legacy of Chaos in Quantum Mechanics, (Casati, G.; Chirikov, B. V., Quantum Chaos: Between Order and Chaos (1995), Cambridge University Press: Cambridge University Press Cambridge), 3-53 |
[17] |
(Casati, G.; Guarneri, I.; Similansky, U., Quantum Chaos. Quantum Chaos, Proceedings of the International School of Physics, ‘Enrico Fermi’ Course CXIX (1993), North-Holland: North-Holland Amsterdam) |
[18] |
(Cerdeira, H. A.; Ramaswamy, R.; Gutzwiller, M. C.; Casati, G., Quantum Chaos (1991), World Scientific: World Scientific Singapore) |
[19] |
Chirikov, B. V., The Problem of Quantum Chaos, (Heiss (1992)), 1-56, (1992) |
[20] |
Cornfeld, I. P.; Fomin, S. V.; Sinai, Y. G., Ergodic Theory (1982), Springer: Springer New York · Zbl 0493.28007 |
[21] |
Cushing, J. T., Quantum Mechanics: Historical Contingency and the Copenhagen Hemgemony (1994), University of Chicago Press: University of Chicago Press Chicago · Zbl 0828.00005 |
[22] |
(Cvitanovic, P.; Percival, I.; Wirzba, A., Quantum Chaos—Quantum Measurement (1992), Kluwer: Kluwer Dordrecht) |
[23] |
Degli Esposti, M.; Graffi, S.; Isola, S., Classical Limit of Quantized Hyperbolic Toral Automorphisms, Communications in Mathematical Physics, 167, 471-507 (1995) · Zbl 0822.58022 |
[24] |
Earman, J., A Primer on Determinism (1986), Reidel: Reidel Dordrecht |
[25] |
Earman, J.; Rédei, M., Why Ergodic Theory Does Not Explain the Success of Equilibrium Statistical Mechanics, British Journal for the Philosophy of Science, 47, 63-78 (1996) · Zbl 1133.82300 |
[26] |
Emch, G. G., Algebraic Methods in Statistical and Quantum Mechanics (1972), Wiley Interscience: Wiley Interscience New York · Zbl 0235.46085 |
[27] |
Emch, G. G., Quantum and Classical Mechanics in Homogeneous Riemannian Manifolds, Journal of Mathematical Physics, 23, 1785-1791 (1982) · Zbl 0514.70022 |
[28] |
Emch, G. G.; Narnhofer, H.; Thirring, W.; Sewell, G. L., Anosov Actions on Noncommutative Algebras, Journal of Mathematical Physics, 35, 5582-5599 (1994) · Zbl 0817.58028 |
[29] |
Ford, J., Quantum Chaos. Is There Any?, (Bai-Lin, H., Directions in Chaos, Vol. 2 (1988), World Scientific: World Scientific Singapore), 128-147 |
[30] |
Ford, J., What is Chaos that We Should be Mindful of It, (Davies, P., The New Physics (1989), Cambridge University Press: Cambridge University Press Cambridge), 348-371 |
[31] |
Ford, J.; Ilg, M., Eigenfunctions, Eigenvalues, and Time Evolution of Finite, Bounded, Undriven, Quantum Systems are Not Chaotic, Physical Review A, 45, 6165-6173 (1992) |
[32] |
Ford, J.; Mantica, G., Does Quantum Mechanics Obey the Correspondence Principle? Is it Complete?, American Journal of Physics, 60, 1071-1086 (1992) |
[33] |
Ford, J.; Mantica, G.; Ristow, G. H., The Arnold Cat: Failure of the Correspondence Principle, Physica D, 50, 493-520 (1991) · Zbl 0742.58024 |
[34] |
Fox, R. F.; Lan, B. L., Chaos and Correspondence Limit in the Periodically Kicked Pendulum, Physical Review A, 41, 2952-2968 (1990) |
[35] |
Gaspard, P., Comment on Dynamical Randomness in Quantum Systems, Progress of Theoretical Physics Supplement, 116, 369-401 (1994) · Zbl 1229.82103 |
[36] |
(Giannoni, M.-J.; Voros, A.; Zinn-Justin, J., Chaos and Quantum Physics (1991), North-Holland: North-Holland Amsterdam) |
[37] |
(Heiss, W. D., Chaos and Quantum Chaos (1992), Springer: Springer Berlin) · Zbl 0864.47048 |
[38] |
Hilborn, R. C., Chaos and Nonlinear Dynamics (1994), Oxford University Press: Oxford University Press New York · Zbl 0804.58002 |
[39] |
Hogg, T.; Huberman, B. A., Quantum Dynamics and Nonintegrability, Physical Review A, 28, 22-31 (1983) |
[40] |
(Ikeda, K., Quantum and Chaos: How Incompatible? Proceedings of the 5th Yukawa International Seminar. Quantum and Chaos: How Incompatible? Proceedings of the 5th Yukawa International Seminar, Progress of Theoretical Physics Supplement (1994)), No. 116 · Zbl 0845.58001 |
[41] |
Ingraham, R. L., A Survey of Nonlinear Dynamics (1992), World Scientific: World Scientific Singapore · Zbl 0754.58001 |
[42] |
Ingraham, R. L.; Luna Acosta, G., On Chaos in Quantum Mechanics: The Two Meanings of Sensitive Dependence, Physics Letters A, 181, 450-452 (1993) |
[43] |
Jensen, F. V., Quantum Chaos, (Krasner, S., The Ubiquity of Chaos (1990), AAAS: AAAS Washington, DC) |
[44] |
Koopman, B. O., Hamiltonian Systems and Transformations in Hilbert Space, (Proceedings of the National Academy of Sciences, 18 (1931)), 315-318 · JFM 57.1010.02 |
[45] |
Kronz, F. M., Nonseparability and Quantum Chaos (1996), preprint |
[46] |
Lan, B. L.; Fox, R. F., Quantum-Classical Correspondence and Quantum Chaos in the Periodically Kicked Pendulum, Physical Review A, 43, 646-655 (1991) |
[47] |
Lichtenberg, A. J.; Lieberman, M. A., Regular and Chaotic Dynamics (1992), Springer: Springer New York · Zbl 0748.70001 |
[48] |
Mañé, R., Ergodic Theory and Differentiable Dynamics (1987), Springer: Springer New York · Zbl 0616.28007 |
[49] |
Martin-Löf, P., The Definition of a Random Sequence, Information and Control, 9, 602-619 (1966) · Zbl 0244.62008 |
[50] |
Narnhofer, H.; Pflug, A.; Thirring, W., Mixing and Entropy Increase in Quantum Systems, (Symmetry in Nature, Vol. 2 (1989), Scuola Normal Superiore: Scuola Normal Superiore Pisa), 597-696 · Zbl 0732.70009 |
[51] |
Peres, A., Instability of Quantum Motion of a Chaotic System, (Cerdeira; etal. (1991)), 73-101, (1991) |
[52] |
Pour-El, M.; Richards, J. I., Computability in Analysis and Physics (1987), Springer: Springer New York |
[53] |
Rohrlich, F., Pluralistic Ontology and Theory Reduction in the Physical Sciences, British Journal for the Philosophy of Science, 39, 295-312 (1988) |
[54] |
Rohrlich, F., The Logic of Reduction: The Case of Gravitation, Foundations of Physics, 19, 1151-1170 (1989) |
[55] |
Rohrlich, F., There Is Good Physics in Theory Reduction, Foundations of Physics, 20, 1399-1412 (1990) |
[56] |
Sakagami, M., Emergence of Classical Properties from Quantum Theory, Progress of Theoretical Physics Supplement, 116, 393-401 (1994) · Zbl 1229.81018 |
[57] |
(Seligman, T. H.; Nishioka, H., Quantum Chaos and Statistical Nuclear Physics. Quantum Chaos and Statistical Nuclear Physics, Lecture Notes on Physics, Vol. 263 (1986), Springer: Springer Berlin) |
[58] |
Sklar, L., Physics and Chance: Philosophical Issues in the Foundations of Statistical Mechanics (1993), Cambridge University Press: Cambridge University Press Cambridge |
[59] |
Weigert, St., Stretching and Folding in the Configurational Quantum Cat, (Cerdeira; etal. (1991)), 323-345, (1991) |
[60] |
Winnie, J., Computable Chaos, Philosophy of Science, 59, 263-275 (1992) |
[61] |
White, H., Algorithmic Complexity of Points in Dynamical Systems, Ergodic Theory and Dynamical Systems, 13, 807-830 (1993) · Zbl 0791.58064 |
[62] |
(Yuan, J. M.; Feng, D. H.; Zaslavsky, G. M., Quantum Dynamics of Chaotic Systems (1993), Gordon and Breach: Gordon and Breach Amsterdam) |
[63] |
Zaslavsky, G. M., (Yuan; etal., Classical Chaos Creates a New Challenge to the Quantum Classical Correspondence (1993)), 49-58, (1993) · Zbl 0867.70017 |
[64] |
Zurek, W. H.; Paz, J. P., Decoherence, Chaos, and the Second Law, Physical Review Letters, 72, 2508-2511 (1994) |
[65] |
Zurek, W. H.; Paz, J. P., Quantum Chaos, A Decoherent Definition (1995), preprint · Zbl 1194.81111 |