Classical state sensitivity from quantum mechanics

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 54, Issue 5, 1996, Pages 3813-3819

  Ballentine, L E ^a   Zibin, J P ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; CALCULATIONS; CHAOS THEORY; EIGENVALUES AND EIGENFUNCTIONS; EQUATIONS OF MOTION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PERTURBATION TECHNIQUES; PROBABILITY; SENSITIVITY ANALYSIS; VECTORS;

CLASSICAL CHAOS; CLASSICAL STATE SENSITIVITY; HAMILTONIAN PERTURBATIONS; HILBERT SPACE OVERLAP; LIOUVILLE EQUATION; PHASE SPACE DISTRIBUTION FUNCTION; WIGNER FUNCTION;

QUANTUM THEORY;

EID: 0030290725     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.54.3813     Document Type: Article

References (13)

1. See, for example, Quantum Complexity in Mesoscopic Systems, edited by A. R. Bishop, R. E. Ecke, and R. Mainieri (North-Holland, Amsterdam, 1995).
2. L. E. Ballentine, Yumin Yang and J. P. Zibin, Phys. Rev. A 50, 2854 (1994).
3. A. Peres, Phys. Rev. A 30, 1610 (1984).
4. A. Peres, Quantum Theory: Concepts and Methods (Kluwer, Dordrecht, 1993), Chap. 11.
5. L. Benet, T. H. Seligman and H. A. Weidenmüller, Phys. Rev. Lett. 71, 529 (1993).
6. R. Schack and C. M. Caves, Phys. Rev. Lett. 71, 525 (1993).
7. D. L. Shepelyansky, Physica (Amsterdam) 8D, 208 (1983).
8. G. Casati, B. V. Chirikov, I. Guarneri and D. L. Shepelyansky, Phys. Rev. Lett. 56, 2437 (1986).
9. N. Ben-Tal, N. Moiseyev and H. J. Korsch, Phys. Rev. A 46, 1669 (1992).
10. A. J. Lichtenberg and M. A. Lieberman, Regular and Chaotic Dynamics (Springer, New York, 1992).
11. D. R. Grempel, R. E. Prange and S. Fishman, Phys. Rev. A 29, 1639 (1984).
12. W. H. Zurek and J. P. Paz, Physica D 83, 300 (1995).
13. K. Shiokawa and B. L. Hu, Phys. Rev. E 52, 2497 (1995).