Random walk in generalized quantum theory

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 71, Issue 2, 2005, Pages

  Martin, Xavier ^a   O'Connor, Denjoe ^a,b   Sorkin, Rafael D ^c,d  

^a DUBLIN INSTITUTE FOR ADVANCED STUDIES   (Ireland)

^b FCUAEMex 50 000   (Mexico)

^c PERIMETER INSTITUTE FOR THEORETICAL PHYSICS   (Canada)

^d SYRACUSE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL ANALYSIS; PROBABILITY; QUANTUM MECHANICS; QUANTUM THEORY;

EID: 84927699342     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.71.024029     Document Type: Article

References (29)

1. L. Bombelli, J. Lee, D. Meyer and R. D. Sorkin, Phys. Rev. Lett. 59, 521 (1987); Rafael D. Sorkin, in Proceedings of the Valdivia Summer School, Valdivia, Chile , edited by Andrés Gomberoff and Don Marolf (to be published); David D. Reid, Can. J. Phys. 79, 1 (2001).
2. L. Bombelli, J. Lee, D. Meyer and R. D. Sorkin, Phys. Rev. Lett. 59, 521 (1987); Rafael D. Sorkin, in Proceedings of the Valdivia Summer School, Valdivia, Chile , edited by Andrés Gomberoff and Don Marolf (to be published); David D. Reid, Can. J. Phys. 79, 1 (2001).
3. L. Bombelli, J. Lee, D. Meyer and R. D. Sorkin, Phys. Rev. Lett. 59, 521 (1987); Rafael D. Sorkin, in Proceedings of the Valdivia Summer School, Valdivia, Chile , edited by Andrés Gomberoff and Don Marolf (to be published); David D. Reid, Can. J. Phys. 79, 1 (2001).
4. R. D. Sorkin, "First Steps with Causal Sets", in General Relativity and Gravitational Physics, edited by R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C. Rubano, P. Scudellaro, (World Scientific, Singapore, 1991) p. 68; R. D. Sorkin, Int. J. Theor. Phys. 36, 2759 (1997); R. D. Sorkin, Int. J. Theor. Phys. 36, 2759 (1997).
5. R. D. Sorkin, "First Steps with Causal Sets", in General Relativity and Gravitational Physics, edited by R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C. Rubano, P. Scudellaro, (World Scientific, Singapore, 1991) p. 68; R. D. Sorkin, Int. J. Theor. Phys. 36, 2759 (1997); R. D. Sorkin, Int. J. Theor. Phys. 36, 2759 (1997).
6. R. D. Sorkin, "First Steps with Causal Sets", in General Relativity and Gravitational Physics, edited by R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C. Rubano, P. Scudellaro, (World Scientific, Singapore, 1991) p. 68; R. D. Sorkin, Int. J. Theor. Phys. 36, 2759 (1997); R. D. Sorkin, Int. J. Theor. Phys. 36, 2759 (1997).
7. D. Rideout and R. Sorkin Phys. Rev. D 61, 024002 (2000).
8. X. Martin, D. O'Connor, D. Rideout and R. D. Sorkin, Phys. Rev. D 63, 084006 (2001).
9. Avner Ash and Patrick McDonald, J. Math. Phys. (N.Y.) 44, 1666 (2003).
10. Graham Brightwell, H. Fay Dowker, Joe Henson, and Rafael D. Sorkin, in Proceedings of the ANPA 23 Conference, Cambridge, England, 2001, edited by K. G. Bowden (Alternative Natural Philosophy Association, London, 2002), p. 1.
11. Graham Brightwell, Fay Dowker, Raquel S. García, Joe Henson and Rafael D. Sorkin, Phys. Rev. D, 67 084031 (2003).
12. D. A. Meyer, Phys. Lett. A 223, 337 (1996); D. A. Meyer, J. Stat. Phys. 85, 551 1996; Todd. A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. A 67 (2003); Todd A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. Lett. 91, 130602 (2002).
13. D. A. Meyer, Phys. Lett. A 223, 337 (1996); D. A. Meyer, J. Stat. Phys. 85, 551 1996; Todd. A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. A 67 (2003); Todd A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. Lett. 91, 130602 (2002).
14. D. A. Meyer, Phys. Lett. A 223, 337 (1996); D. A. Meyer, J. Stat. Phys. 85, 551 1996; Todd. A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. A 67 (2003); Todd A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. Lett. 91, 130602 (2002).
15. D. A. Meyer, Phys. Lett. A 223, 337 (1996); D. A. Meyer, J. Stat. Phys. 85, 551 1996; Todd. A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. A 67 (2003); Todd A. Brun, Hilary A. Carteret, and Andris Ambainis, Phys. Rev. Lett. 91, 130602 (2002).
16. B. M. Boghosian and W. Taylor IV, quant-ph/9604035.
17. Maqbool Ahmed, Scott Dodelson, Patrick Greene, and Rafael D. Sorkin, Phys. Rev. D 69, 103523 (2004).
18. J. B. Hartle, in Spacetime Quantum Mechanics and the Quantum Mechanics of Spacetime, Proceedings of the Les Houches Summer School, Session LVII, edited by B. Julia and J. Zinn-Justin (Elsevier, New York, 1995).
19. R. Sorkin, Mod. Phys. Lett. A, 9, 3119 (1994).
20. R. Sorkin, in Quantum Classical Correspondence: Proceedings of the 4th Drexel Symposium on Quantum Npnintegrability, Philadelphia, 1994, edited by D. H. Feng and B.-L. Hu (International Press, Cambridge, MA, 1997), p. 229.
21. Roberto B. Salgado, Mod. Phys. Lett. A 17, 711 (2002).
22. C. Chryssomalakos and M. Durdevich, Mod. Phys. Lett. A19, 197 (2004).
23. R. Sorkin, Int J. Theor. Phys. 33, 523 (1994).
24. J. Glimm and A. Jaffe, Quantum Physics. A Functional Integral Point of View, (Springer, New-York, 1981).
25. Encyclopedic Dictionary of Mathematics, Second Edition (MIT, Cambridge, MA, 1993), Article 192 B.
26. Göran Lindblad, Commun. Math. Phys. 40, 147 (1975).
27. R. Griffiths, J. Stat. Phys. 36, 219 (1984); R. Omnes, Rev. Mod. Phys. 64, 339 (1992).
28. R. Griffiths, J. Stat. Phys. 36, 219 (1984); R. Omnes, Rev. Mod. Phys. 64, 339 (1992).
29. Peter L. Knight, Eugenic Roldán and J.E. Sipe, quant-ph/0305165.