On the relation between the Wigner function and an exact dynamical invariant

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 338, Issue 3-5, 2005, Pages 225-231

  Schuch, Dieter ^a,b  

^a UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO   (Mexico)

^b GOETHE UNIVERSITY   (Germany)

Author keywords

Ermakov Lewis invariant; Wave packet dynamics; Wigner function

Indexed keywords

EQUATIONS OF MOTION; WAVE FUNCTIONS; WAVE PACKETS;

DINGER EQUATION; DYNAMICAL INVARIANTS; ERMAKOV-LEWIS INVARIANT; HARMONIC OSCILLATORS; TIME DEPENDENT; TIME DEPENDENT FREQUENCY; WAVE-PACKET DYNAMICS; WIGNER FUNCTIONS;

WIGNER-VILLE DISTRIBUTION;

ANALYTIC METHOD; ARTICLE; MATHEMATICAL MODEL; MOLECULAR DYNAMICS; NANOTECHNOLOGY; OSCILLATOR; QUANTUM CHEMISTRY;

EID: 16844378436     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2005.02.057     Document Type: Article

References (27)

1. W.H. Zurek Phys. Today 10 1991 36
2. W.T. Strunz A. Buchleitner K. Hornberger Coherent Evolution in Noisy Environments Lecture Notes in Physics vol. 611 2002 Springer Berlin 199 234
3. E. Joos E. Joos Decoherence and the Appearance of a Classical World in Quantum Theory second ed. 2003 Springer Berlin 41 180
4. W.P. Schleich Quantum Optics in Phase Space 2001 Wiley-VCh Berlin Chapter 17
5. H.R. Lewis Jr. Phys. Rev. Lett. 18 1967 510
6. H.R. Lewis Jr. J. Math. Phys. 9 1968 1976
7. V.P. Ermakov Univ. Izv. Kiev 20 1880 No. 9, 1
8. W.E. Milne Phys. Rev. 35 1930 863
9. E.D. Courant, and H.S. Snyder Ann. Phys. 3 1958 1
10. M. Lutzky Phys. Lett. A 68 1979 3
11. J.R. Ray, and J.L. Reid Phys. Lett. A 71 1979 317
12. J.G. Hartley, and J.R. Ray Phys. Rev. A 24 1981 2873
13. P.G.L. Leach J. Math. Phys. 18 1977 1902
14. J.G. Hartley, and J.R. Ray Phys. Rev. A 25 1982 2388
15. J.R. Ray, and J.G. Hartley Phys. Lett. A 88 1982 125
16. H. Kohl, and R.M. Dreizler Phys. Lett. A 98 1983 95
17. J. Struckmeier, and C. Riedel Phys. Rev. Lett. 85 2000 3830
18. E.P. Wigner Phys. Rev. 40 1932 749
19. M. Hillery, R.F. O'Connell, M.O. Scully, and E.P. Wigner Phys. Rep. 106 1984 121
20. W.P. Schleich Quantum Optics in Phase Space 2001 Wiley-VCh Berlin p. 92
21. L.I. Schiff Quantum Mechanics third ed. 1968 McGraw-Hill-Kogakusha Tokyo p. 74
22. J.R. Ray Phys. Rev. D 20 1979 2632
23. J.R. Ray Lett. Nuovo Cimento 27 1980 424
24. W. Sarlet Ann. Phys. (N.Y.) 92 1975 248
25. A.B. Nassar J. Math. Phys. 27 1986 2949
26. D. Schuch, K.-M. Chung, and H. Hartmann J. Math. Phys. 24 1983 1652
27. D. Schuch, and K.-M. Chung Int. J. Quantum Chem. 29 1986 1561