Classical limit and chaotic regime in a semi-quantum Hamiltonian

International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Volumn 13, Issue 8, 2003, Pages 2315-2325

  Kowalski, A M ^b   Martin, M T ^a   Plastino, A ^a   Proto, A N ^b,c  

^a Argentine Natl Res Cncl ^*  (Argentina)

^b UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^c NONE   (Argentina)

Author keywords

Semiclassical chaos; Semiclassical theories and applications

Indexed keywords

HAMILTONIANS; PROBLEM SOLVING; QUANTUM THEORY;

SEMICLASSICAL CHAOS;

CHAOS THEORY;

EID: 0242666419     PISSN: 02181274     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218127403007977     Document Type: Article

References (21)

1. Aliaga, J., Otero, D., Plastino, A. & Proto, A. N. [1987] "Constants of motion, accessible states, and information theory," Phys. Rev. A35, 2304-2313.
2. Bhattacharya, T., Habib, S. & Jacobs, K. [2000] "Continuous quantum measurement and the emergence of classical chaos," Phys. Rev. Lett. 85, 4852-4855.
3. Blanco, S., Figliola, A., Quian Quiroga, R., Rosso, O. A. & Serrano, E. [1998] "Time-frequency analysis of electroencephalogram series. III. Wavelet packets and information cost function," Phys. Rev. E57, 932-940.
4. Chui, C. K. [1992] An Introduction to Wavelets (Academic Press, NY).
5. Cooper, F., Dawson, J. F., Meredith, D. & Shepard H. [1994] "Semiquantum chaos," Phys. Rev. Lett. 72, 1337-1340.
6. Cooper, F., Dawson, J., Habib, S. & Ryne, R. D. [1998] "Chaos in time-dependent variational approximations to quantum dynamics," Phys. Rev. E57, 1489-1498.
7. Demikhovskii, V. Ya. & Kamenev, D. I. [1999] "Quantum weak chaos in a degenerate system," Phys. Rev. E59, 294-302.
8. Duering, E., Otero, D., Plastino, A. & Proto, A. N. [1987] "General dynamical invariants for time-dependent Hamiltonians," Phys. Rev. A35, 2314-2320.
9. Emerson, J. & Ballentine, L. E. [2001] "Quantum-classical correspondence for the equilibrium distributions of two interacting spins, " Phys. Rev. E64 026217-1-026217-11.
10. Gruver, J. L., Aliaga, J., Cerdeira, H. A., Mello, P. A. & Proto, A. N. [1997] "Energy-level statistics and time relaxation in quantum systems," Phys. Rev. E55, 6370-6376.
11. Kowalski, A. M., Plastino, A. & Proto, A. N. [1994] "Low-dimensional semi-classical treatment of the dissipation problem, " Phys. Lett. A187, 220-223.
12. Kowalski, A. M., Plastino, A. & Proto, A. N. [1995] "Semiclassical model for quantum dissipation," Phys. Rev. E52, 165-177.
13. Kowalski, A. M., Plastino, A. & Proto, A. N. [1997] "A semiclassical statistical model for quantum dissipation," Physica A236, 429-445.
14. Kowalski, A. M., Martin, M. T., Nuñez, J., Plastino, A. & Proto, A. N. [1998] "A quantitative indicator for semi-quantum chaos, " Phys. Rev. A58, 2596-2599.
15. Merzbacher, E. [1963] Quantum Mechanics (Wiley, NY), Chap. 8, 155 pp.
16. Messiah, A. [1961] Quantum Mechanics (North Holland, Amsterdam), Vol. I, Chap. 6, pp. 214-215.
17. Meyer, Y. [1993] Wavelets. Algorithms and Applications (SIAM, NY).
18. Paz, J. P. & Zurek, W. H. [1999] "Quantum limit of decoherence: Environment induced superselection of energy eigenstates," Phys. Rev. Lett. 82, 5181-5185.
19. Van Vessen, M. Jr., Santos, M. C., Bin, K. C. & da Luz, M. G. E. [2001] "Origin of quantum chaos for two particles interacting by short-range potentials," Phys. Rev. E64, 026201-1-026201-5.
20. Wisniacki, D. A. & Vergini, E. [2000] "Classical invariants and the quantum-classical link," Phys. Rev. E82, R4513-R4515.
21. Zurek, W. H. [1991] "Decoherence and the transition from quantum to classical," Phys. Today 44, 36-41.