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Volumn 148, Issue 3-4, 2001, Pages 227-241

Completely mixing quantum open systems and quantum fractals

Author keywords

[No Author keywords available]

Indexed keywords

CHAOS THEORY; CONTINUUM MECHANICS; FRACTALS; ITERATIVE METHODS; MIXING; PROBABILITY DENSITY FUNCTION;

EID: 0034826270     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(00)00175-5     Document Type: Article
Times cited : (6)

References (36)
  • 1
    • 0343199114 scopus 로고
    • Quantum mechanics and chaos
    • M.J. Gianoni, A. Voros, J. Zinn-Justin (Eds.), North-Holland, Amsterdam
    • G. Casati, Quantum mechanics and chaos, in: M.J. Gianoni, A. Voros, J. Zinn-Justin (Eds.), Chaos and Quantum Physics, North-Holland, Amsterdam, 1991.
    • (1991) Chaos and Quantum Physics
    • Casati, G.1
  • 3
    • 0001644944 scopus 로고    scopus 로고
    • Quantum chaos in terms of entropy for periodically kicked top
    • R. Alicki, D. Makowiec, W. Miklaszewski, Quantum chaos in terms of entropy for periodically kicked top, Phys. Rev. Lett. 75 (1996) 838-841.
    • (1996) Phys. Rev. Lett. , vol.75 , pp. 838-841
    • Alicki, R.1    Makowiec, D.2    Miklaszewski, W.3
  • 4
    • 0342329698 scopus 로고
    • Quantum chaos as basis for statistical mechanics
    • G. Casati (Ed.), Plenum Press, New York
    • N.G. van Kampen, Quantum chaos as basis for statistical mechanics, in: G. Casati (Ed.), Chaotic Behaviour in Quantum Systems, Plenum Press, New York, 1985.
    • (1985) Chaotic Behaviour in Quantum Systems
    • Van Kampen, N.G.1
  • 5
    • 0000683218 scopus 로고
    • Chaotic quantum phenomena without classical counterpart
    • G. Jona-Lasinio, C. Presilla, F. Capasso, Chaotic quantum phenomena without classical counterpart, Phys. Rev. Lett. 68 (1992) 2269-2272.
    • (1992) Phys. Rev. Lett. , vol.68 , pp. 2269-2272
    • Jona-Lasinio, G.1    Presilla, C.2    Capasso, F.3
  • 6
    • 4243474136 scopus 로고    scopus 로고
    • Chaotic properties of quantum many-body systems in the thermodynamic limit
    • G. Jona-Lasinio, C. Presilla, Chaotic properties of quantum many-body systems in the thermodynamic limit, Phys. Rev. Lett. 77 (1996) 4322-4325.
    • (1996) Phys. Rev. Lett. , vol.77 , pp. 4322-4325
    • Jona-Lasinio, G.1    Presilla, C.2
  • 7
    • 0030495240 scopus 로고    scopus 로고
    • Ergodic properties of infinite quantum harmonic crystals: An analytic approach
    • S. Graffi, A. Martinez, Ergodic properties of infinite quantum harmonic crystals: an analytic approach, J. Math. Phys. 37 (1996) 5111-5135.
    • (1996) J. Math. Phys. , vol.37 , pp. 5111-5135
    • Graffi, S.1    Martinez, A.2
  • 8
    • 0030518839 scopus 로고    scopus 로고
    • Ergodic properties of the quantum ideal gas in the Maxwell-Boltzmann statistics
    • M. Lenci, Ergodic properties of the quantum ideal gas in the Maxwell-Boltzmann statistics, J. Math. Phys. 37 (1996) 5136-5157.
    • (1996) J. Math. Phys. , vol.37 , pp. 5136-5157
    • Lenci, M.1
  • 9
    • 0000903912 scopus 로고
    • The influence of quantization on the onset of chaos in Hamiltonian systems: The Kolmogorov entropy interpretation
    • R. Kosloff, S.A. Rice, The influence of quantization on the onset of chaos in Hamiltonian systems: the Kolmogorov entropy interpretation, J. Chem. Phys. 74 (1981) 1340-1349.
    • (1981) J. Chem. Phys. , vol.74 , pp. 1340-1349
    • Kosloff, R.1    Rice, S.A.2
  • 10
    • 0040743434 scopus 로고
    • A measure of quantum chaos
    • E. Thiele, J. Stone, A measure of quantum chaos, J. Chem. Phys. 80 (1984) 5187-5193.
    • (1984) J. Chem. Phys. , vol.80 , pp. 5187-5193
    • Thiele, E.1    Stone, J.2
  • 11
    • 21844514109 scopus 로고
    • Quantum chaos: An entropy approach
    • W. Słomczyński, K. Życzkowski, Quantum chaos: an entropy approach, J. Math. Phys. 35 (1994) 5674-5700.
    • (1994) J. Math. Phys. , vol.35 , pp. 5674-5700
    • Słomczyński, W.1    Zyczkowski, K.2
  • 12
    • 0005416073 scopus 로고
    • Entropy and quantum characteristic exponents. Steps towards a quantum Pesin theory
    • P. Garbaczewski, M. Wolf, A. Weron (Eds.), Springer, Berlin
    • R. Vilela Mendez, Entropy and quantum characteristic exponents. Steps towards a quantum Pesin theory, in: P. Garbaczewski, M. Wolf, A. Weron (Eds.), Chaos - The Interplay Between Stochastic and Deterministic Behaviour, Springer, Berlin, 1995.
    • (1995) Chaos - The Interplay between Stochastic and Deterministic Behaviour
    • Vilela Mendez, R.1
  • 13
    • 36449006992 scopus 로고
    • On quantum characteristic exponents
    • W.A. Majewski, M. Kuna, On quantum characteristic exponents, J. Math. Phys. 34 (1993) 5007-5015.
    • (1993) J. Math. Phys. , vol.34 , pp. 5007-5015
    • Majewski, W.A.1    Kuna, M.2
  • 14
    • 84959452029 scopus 로고
    • Chaos in dissipative quantum systems
    • G. Casati (Ed.), Plenum Press, New York
    • R. Graham, Chaos in dissipative quantum systems, in: G. Casati (Ed.), Chaotic Behaviour in Quantum Systems, Plenum Press, New York, 1985.
    • (1985) Chaotic Behaviour in Quantum Systems
    • Graham, R.1
  • 15
    • 0343634759 scopus 로고
    • Chaos in dissipative quantum maps
    • E.R. Pike, S. Sarkar (Eds.), Plenum Press, New York
    • R. Graham, Chaos in dissipative quantum maps, in: E.R. Pike, S. Sarkar (Eds.), Quantum Measurement and Chaos, Plenum Press, New York, 1987.
    • (1987) Quantum Measurement and Chaos
    • Graham, R.1
  • 16
    • 0001766615 scopus 로고
    • Survival probability and chaos in an open system
    • A. Tameshtit, J.E. Sipe, Survival probability and chaos in an open system, Phys. Rev. A 45 (1992) 8280-8283.
    • (1992) Phys. Rev. A , vol.45 , pp. 8280-8283
    • Tameshtit, A.1    Sipe, J.E.2
  • 18
    • 0038867385 scopus 로고    scopus 로고
    • Hypercyclic and chaotic semigroups of linear operators
    • W. Desch, W. Schappacher, G.F. Webb, Hypercyclic and chaotic semigroups of linear operators, Ergod. Theory Dyn. Syst. 17 (1997) 793-819.
    • (1997) Ergod. Theory Dyn. Syst. , vol.17 , pp. 793-819
    • Desch, W.1    Schappacher, W.2    Webb, G.F.3
  • 20
    • 4243937506 scopus 로고
    • Relative entropy and stability of stochastic semigroups
    • K. Łoskot, R. Rudnicki, Relative entropy and stability of stochastic semigroups, Ann. Pol. Math. 53 (1991) 139-145.
    • (1991) Ann. Pol. Math. , vol.53 , pp. 139-145
    • Łoskot, K.1    Rudnicki, R.2
  • 22
    • 0001120807 scopus 로고
    • Decay of correlations in a chaotic measure-preserving transformations
    • J.D. Crawford, J.R. Cary, Decay of correlations in a chaotic measure-preserving transformations, Physica D 6 (1983) 223-232.
    • (1983) Physica D , vol.6 , pp. 223-232
    • Crawford, J.D.1    Cary, J.R.2
  • 23
    • 0003062639 scopus 로고
    • Quantum Dynamical Semigroups and Applications
    • R. Alicki, K. Lendi, Quantum Dynamical Semigroups and Applications, Lecture Notes in Physics, Vol. 286, 1987.
    • (1987) Lecture Notes in Physics , vol.286
    • Alicki, R.1    Lendi, K.2
  • 24
    • 0031673928 scopus 로고    scopus 로고
    • Remarks on quantum characteristic exponents, Chaos
    • W.A. Majewski, Remarks on quantum characteristic exponents, Chaos, Solitons Fractals 9 (1998) 77-82.
    • (1998) Solitons Fractals , vol.9 , pp. 77-82
    • Majewski, W.A.1
  • 25
    • 0000105932 scopus 로고
    • Quantum chaos: A decoherent definition
    • W.H. Zurek, J.P. Paz, Quantum chaos: a decoherent definition, Physica D 83 (1995) 300-308.
    • (1995) Physica D , vol.83 , pp. 300-308
    • Zurek, W.H.1    Paz, J.P.2
  • 26
    • 0000422038 scopus 로고
    • On the interaction between classical and quantum systems
    • Ph. Blanchard, A. Jadczyk, On the interaction between classical and quantum systems, Phys. Lett. A 175 (1993) 157-164.
    • (1993) Phys. Lett. A , vol.175 , pp. 157-164
    • Blanchard, Ph.1    Jadczyk, A.2
  • 27
    • 0001359884 scopus 로고
    • Strongly coupled quantum and classical systems and Zeno's effect
    • Ph. Blanchard, A. Jadczyk, Strongly coupled quantum and classical systems and Zeno's effect, Phys. Lett. A 183 (1993) 272-276.
    • (1993) Phys. Lett. A , vol.183 , pp. 272-276
    • Blanchard, Ph.1    Jadczyk, A.2
  • 28
    • 0031581997 scopus 로고    scopus 로고
    • On uniqueness of the jump process in event enhanced quantum theory
    • A. Jadczyk, G. Kondrat, R. Olkiewicz, On uniqueness of the jump process in event enhanced quantum theory, J. Phys. A 30 (1997) 1863-1880.
    • (1997) J. Phys. A , vol.30 , pp. 1863-1880
    • Jadczyk, A.1    Kondrat, G.2    Olkiewicz, R.3
  • 29
    • 84990101299 scopus 로고
    • Event enhanced quantum theory and piecewise deterministic dynamics
    • Ph. Blanchard, A. Jadczyk, Event enhanced quantum theory and piecewise deterministic dynamics, Ann. Phys. 4 (1995) 583-599.
    • (1995) Ann. Phys. , vol.4 , pp. 583-599
    • Blanchard, Ph.1    Jadczyk, A.2
  • 33
    • 0040394687 scopus 로고
    • A relation between Lyapunov exponents, Hausdorff dimension and entropy
    • A. Manning, A relation between Lyapunov exponents, Hausdorff dimension and entropy, Ergod. Theory Dyn. Syst. 1 (1981) 451-459.
    • (1981) Ergod. Theory Dyn. Syst. , vol.1 , pp. 451-459
    • Manning, A.1
  • 34
    • 84956256298 scopus 로고
    • Dimension, entropy and Lyapunov exponents
    • L.-S. Young, Dimension, entropy and Lyapunov exponents, Ergod. Theory Dyn. Syst. 2 (1982) 109-124.
    • (1982) Ergod. Theory Dyn. Syst. , vol.2 , pp. 109-124
    • Young, L.-S.1
  • 35
    • 36749120625 scopus 로고
    • The Zeno's paradox in quantum theory
    • B. Misra, E.C.G. Sudarshan, The Zeno's paradox in quantum theory, J. Math. Phys. 18 (1977) 756-763.
    • (1977) J. Math. Phys. , vol.18 , pp. 756-763
    • Misra, B.1    Sudarshan, E.C.G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.