Generalized metric phase space for quantum systems and the uncertainty principle

Physica A: Statistical Mechanics and its Applications

Volumn 377, Issue 1, 2007, Pages 33-42

  Sarris, C M ^a   Proto, A N ^a,b  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

^b Universidad Provincial del Sudoeste   (Argentina)

Author keywords

Invariants of motion; Lie algebras; Quantum dynamics

Indexed keywords

ALGEBRA; ENTROPY; GIBBS FREE ENERGY; HAMILTONIANS; INFORMATION THEORY; UNCERTAIN SYSTEMS;

GENERALIZED UNCERTAINTY PRINCIPLE (GUP); LIE ALGEBRAS; METRIC TENSORS; QUANTUM DYNAMICS;

QUANTUM THEORY;

EID: 33846385689     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physa.2006.10.093     Document Type: Article

References (21)

1. Janyszek H., and Mrugala R. Phys. Rev. A 39 (1989) 6515
2. Janyszek H., and Mrugala R. J. Phys. A: Math. Gen. 23 (1990) 477-490
3. Gilmore R. Phys. Rev. A 30 (1984) 1994
4. Janke W., Johnston D.A., and Malmini R.P.K.C. Phys. Rev. E 66 (2002) 056119
5. Janke W., Johnston D.A., and Kenna R. Phys. Rev. E 67 (2003) 046106
6. Janke W., Johnston D.A., and Kenna R. Phys. Rev. A 336 (2004) 181-186
7. Alhassid Y., and Levine R.D. J. Chem. Phys. 67 (1977) 4321
8. Alhassid Y., and Levine R.D. Phys. Rev. A 18 (1978) 89
9. Sarris C.M., Caram F., and Proto A.N. Phys. Lett. A 324 (2004) 1-8
10. Proto A.N., Aliaga J., Napoli D.R., Otero D., and Plastino A. Phys. Rev. A 39 (1989) 4223-4229
11. Otero D., Plastino A., Proto A.N., and Zannoli G. Phys. Rev. A 26 (1982) 1209
12. Sarris C.M., Caram F., and Proto A.N. Phys. A 331 (2004) 125-139
13. Gilmore R. Lie Groups, Lie Algebras and Some of their Applications (1974), Wiley, New York
14. Merzbaher E. Quantum Mechanics (1963), Wiley, NewYork
15. Sarris C.M., and Proto A.N. Phys. A 348 (2005) 97-109
16. Cohen-Tannoudji C., Diu B., and Laloë F. Quantum Mechanics (1977), Wiley, New York
17. Louisell W.H. Quantum Statistical Properties of Radiation (1973), Wiley, New York
18. Blum K. Density Matrix Theory and Applications (1981), Plenum Press, New York
19. Aliaga J., Crespo G., and Proto A.N. Phys. Rev. A 42 (1990) 618
20. Aliaga J., Otero D., Plastino A., and Proto A.N. Phys. Rev. A 38 (1988) 918
21. Aliaga J., Crespo G., and Proto A.N. Phys. Rev. A 43 (1991) 595