Symmetry and history quantum theory: An analog of Wigner's theorem

Journal of Mathematical Physics

Volumn 37, Issue 12, 1996, Pages 6086-6105

  Schreckenberg, S ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030371722     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.531765     Document Type: Review

References (19)

1. R. B. Griffiths, "Consistent histories and the interpretation of quantum mechanics," J. Stat. Phys. 36, 219-272 (1984).
2. R. Omnès, "Logical reformulation of quantum mechanics. I. Foundations," J. Stat. Phys. 53, 893-932 (1988).
3. M. Gell-Mann and J. Hartle, "Quantum mechanics in the light of quantum cosmology," in Proceedings of the Third International Symposium on the Foundations of Quantum Mechanics in the Light of New Technology, edited by S. Kobayashi, H. Ezawa, Y. Murayama, and S. Nomura (Physical Society of Japan, Tokyo, 1990), pp. 321-343.
4. M. Gell-Mann and J. Hartle, "Equivalent sets of Histories and Multiple Quasiclassical Domains," gr-qc/9404013.
5. C. J. Isham, "Quantum logic and the histories approach to quantum theory," J. Math. Phys. 35, 2157-2185 (1994).
6. C. J. Isham and N. Linden, "Quantum temporal logic and decoherence functional in the histories approach to generalized quantum theory," J. Math. Phys. 35, 5452-5476 (1994).
7. S. Schreckenberg, "Structural Foundations of Quantum History Theories," Ph.D. thesis, University of London, 1995.
8. C. J. Isham, N. Linden, and S. Schreckenberg, "The classification of decoherence functionals: An analogue of Gleason's theorem," J. Math. Phys. 35, 6360-6370 (1994).
9. J. D. M. Wright, "The structure of decoherence functional for von Neumann quantum histories," J. Math. Phys. 36, 5409-5413 (1995).
10. V. S. Varadarajan, Geometry of Quantum Theory, Vol. 1 (Van Nostrand, Princeton, 1968).
11. F. Dowker and A. Kent, "Properties of Consistent Sets," Phys. Rev. Lett. 75, 3038-3041 (1995).
12. F. Dowker and A. Kent, "On the Consistent Histories Approach to Quantum Mechanics," J. Stat. Phys. 82, 1575 (1996).
13. N. Linden, private communication.
14. S. Schreckenberg, "Completeness of decoherence functionals," J. Math. Phys. 36, 4735-4742 (1995).
15. C. J. Isham and N. Linden, "Continuous histories and the history group in generalized quantum theory," J. Math. Phys. 36, 5392-5408 (1995).
16. C. J. Isham, "Quantum Logic and Decohering Histories," in Topics in Quantum Field Theory, edited by D. H. Ichrakian (World Scientific, Singapore, 1995), pp. 30-44.
17. G. M. Hardegree and P. J. Frazer, "Chartering the labyrinth of quantum logics: A progress report," in Current Issues in Quantum Logic, edited by E. G. Beltrametti and B. V. van Frassen (Plenum, London, 1982).
18. C. J. Isham, private communication.
19. S. Schreckenberg, "Symmetries of Decoherence Functionals," gr-qc/9607050, to appear in J. Math. Phys. (1997).