Non-unitary and unitary transitions in generalized quantum mechanics, new small parameter and information problem solving

Modern Physics Letters A

Volumn 19, Issue 5, 2004, Pages 391-403

  Shalyt Margolin, A E ^a  

^a NATIONAL CENTRE FOR PARTICLE AND HIGH ENERGY PHYSICS   (Belarus)

Author keywords

Density matrix deformation; Heisenberg algebra deformation; Information paradox problem; Unitarity

Indexed keywords

ARTICLE; COSMOS; DENSITY; ENTROPY; INFORMATION; MATHEMATICS; PROBLEM SOLVING; QUANTUM MECHANICS; STATISTICAL ANALYSIS;

EID: 1442303160     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732304013155     Document Type: Article

References (29)

1. D. V. Ahluwalia, Phys. Lett. B339, 301 (1994); A. Kempf, G. Mangano and R. B. Mann, Phys. Rev. D52, 1108 (1995).
2. D. V. Ahluwalia, Phys. Lett. B339, 301 (1994); A. Kempf, G. Mangano and R. B. Mann, Phys. Rev. D52, 1108 (1995).
3. D. V. Ahluwalia, Phys. Lett. A275, 31 (2000); Mod. Phys. Lett. A17, 1135 (2002).
4. D. V. Ahluwalia, Phys. Lett. A275, 31 (2000); Mod. Phys. Lett. A17, 1135 (2002).
5. A. E. Shalyt-Margolin, Fundamental length, deformed density matrix and new view on the black hole information paradox, gr-qc/0207074.
6. A. E. Shalyt-Margolin and A. Ya. Tregubovich, Generalized uncertainty relations, fundamental length and density matrix, gr-qc/0207068.
7. M. Maggiore, Phys. Lett. B319, 83 (1993).
8. M. Maggiore, Phys. Rev. D49, 5182 (1994).
9. S. Capozziello, G. Lambiase and G.Scarpetta, Int. J. Theor. Phys. 39, 15 (2000).
10. A. E. Shalyt-Margolin and J. G. Suarez, Density matrix and dynamical aspects of quantum mechanics with fundamental length, gr-qc/0211083.
11. A. E. Shalyt-Margolin and J. G. Suarez, Quantum mechanics of the early universe and its limiting transition, gr-qc/0302119.
12. A. E. Shalyt-Margolin and J. G. Suarez, Int. J. Mod. Phys. D12, 1265 (2003).
13. A. E. Shalyt-Margolin, Deformed density matrix, density of entropy and information problem, gr-qc/0307096.
14. A. E. Shalyt-Margolin, Density matrix in quantum and statistical mechanics at planck-scale, gr-qc/0307057.
15. R. Adler, P. Chen and D. Santiago, Gen. Rel. Grav. 33, 2101 (2001).
16. P. Chen and R. Adler, Nucl. Phys. Proc. Suppl. 124, 103 (2003).
17. P. S. Custodio and J. E. Horvath, Class. Quantum Grav. 20, L197 (2003).
18. S. Hawking, Phys. Rev. D14, 2460 (1976).
19. S. Giddings, The black hole information paradox, hep-th/9508151.
20. A. Strominger, Les Houches lectures on black holes, hep-th/9501071.
21. A. D. Helfer, Rep. Prog. Phys. 66, 943 (2003).
22. A. E. Shalyt-Margolin and A. Ya. Tregubovich, Mod. Phys. Lett. A19, 71 (2004).
23. A. E. Shalyt-Margolin and A. Ya. Tregubovich, Generalized uncertainty relations in thermodynamics, gr-qc/0307018.
24. A. E. Shalyt-Margolin and A. Ya. Tregubovich, Generalized uncertainty relations in a quantum theory and thermodynamics from the uniform point of view, gr-qc/0204078.
25. C. Castro and A. Granik, Found. Phys. 33, 445 (2003).
26. P. Majumdar, Black hole entropy: classical and quantum aspects, expanded version of lectures given at the YATI Conference on Black Hole Astrophysics, Kolkata, India, April 2001, hep-th/0110198; S. Das, P. Majumdar and R. K. Bhaduri, General logarithmic corrections to black hole entropy, hep-th/0111001; E. C. Vagenas, Phys. Lett. B533, 302 (2002).
27. P. Majumdar, Black hole entropy: classical and quantum aspects, expanded version of lectures given at the YATI Conference on Black Hole Astrophysics, Kolkata, India, April 2001, hep-th/0110198; S. Das, P. Majumdar and R. K. Bhaduri, General logarithmic corrections to black hole entropy, hep-th/0111001; E. C. Vagenas, Phys. Lett. B533, 302 (2002).
28. P. Majumdar, Black hole entropy: classical and quantum aspects, expanded version of lectures given at the YATI Conference on Black Hole Astrophysics, Kolkata, India, April 2001, hep-th/0110198; S. Das, P. Majumdar and R. K. Bhaduri, General logarithmic corrections to black hole entropy, hep-th/0111001; E. C. Vagenas, Phys. Lett. B533, 302 (2002).
29. A. E. Shalyt-Margolin, Non-unitary and unitary transitions in generalized quantum mechanics and information problem solving, hep-th/0309121.