Minisuperspace models in histories theory

Classical and Quantum Gravity

Volumn 22, Issue 9, 2005, Pages 1841-1866

  Anastopoulos, Charis ^a   Savvidou, Ntina ^a,b  

^a UNIVERSITY OF PATRAS   (Greece)

^b IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 24144492363     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/22/9/023     Document Type: Article

References (41)

1. Savvidou N 2004 General relativity histories theory: I. The spacetime character of the canonical description Class. Quantum Grav. 21 615
2. Savvidou N 2004 General relativity histories theory: II. Invariance groups Class. Quantum Grav. 21 631
3. Griffiths R 2003 Consistent Quantum Theory (Cambridge: Cambridge University Press)
4. Omnés R 1994 The Interpretation of Quantum Mechanics (Princeton, NJ: Princeton University Press)
5. Omnés R 1992 Consistent interpretations of quantum mechanics Rev. Mod. Phys. 64 339
6. Omnés R 1999 Understanding Quantum Mechanics (Princeton, NJ: Princeton University Press)
7. Gell-Mann M and Hartle J B 1990 Quantum mechanics in the light of quantum cosmology Complexity, Entropy and the Physics of Information ed W Zurek (Reading, MA: Addison-Wesley)
8. Hartle J B 1993 Spacetime quantum mechanics and the quantum mechanics of spacetime Proc. 1992 Les Hauches School, Gravitation and Quantisation
9. Isham C J 1992 Canonical Quantum Gravity and the Problem of Time in GIFT Seminar 0157-288 (Preprint gr-qc/9210011)
10. Kuchar K 1991 Time and interpretations of quantum gravity Winnipeg Proc. General Relativity and Relativistic Astrophysics p 211
11. Isham C J 1994 Quantum logic and the histories approach to quantum theory J. Math. Phys. 35 2157
12. Isham C J and Linden N 1994 Quantum temporal logic and decoherence functionals in the histories approach to generalised quantum theory J. Math. Phys. 35 5452
13. Isham C J and Linden N 1995 Continuous histories and the history group in generalised quantum theory J. Math. Phys. 36 5392
14. Isham C, Linden N, Savvidou K and Schreckenberg S 1998 Continuous time and consistent histories J. Math. Phys. 37 2261
15. Savvidou K 1999 The action operator in continuous time histories J. Math. Phys. 40 5657
16. Savvidou K 2002 Poincaré invariance for continuous-time histories J. Math. Phys. 43 3053
17. Savvidou K and Anastopoulos C 2000 Histories quantization of parametrized systems: I. Development of a general algorithm Class. Quantum Grav. 17 2463
18. Halliwell J J 2001 Trajectories for the wave function of the universe from a simple detector model Phys. Rev. D 64 044008
19. Halliwell J J and Thorwart J 2002 Life in an energy eigenstate: decoherent histories analysis of a model timeless universe Phys. Rev. D 65 104009
20. Craig D and Hartle J B 2004 Generalized quantum theory of recollapsing homogeneous cosmologies Phys. Rev. D 69 123525
21. Vilenkin A 1984 Quantum creation of universes Phys. Rev. D 30 509
22. Hartle J B and Hawking S W 1983 Wave function of the universe Phys. Rev. D 28 2960
23. Anastopoulos C 2001 Continuous-time histories: observables, probabilities, phase space structure and the classical limit J. Math. Phys. 42 3225
24. Klauder J and Skagerstam B (ed) 1985 Coherent States: Applications in Physics and Mathematical Physics (SIngapore: World Scientific)
25. Perelomov A 1986 Generalized Coherent States and their Applications (Berlin: Springer)
26. Anastopoulos C 2003 Quantum processes on phase space Ann. Phys. 303 270
27. Burch A 2004 Histories electromagnetism J. Math. Phys. 45 2153
28. Anastopoulos C and Savvidou N 2003 The role of phase space geometry in Heisenberg's uncertainty relations Ann. Phys. 308 329
29. Klauder J 1997 Coherent state quantization of constraint systems Ann. Phys. 254 419
30. Kempf A and Klauder J 2001 On the implementation of constraints through projection operators J. Phys. A: Math. Gen. 34 1019
31. Hartle J B and Marolf D 1997 Comparing formulations of generalized quantum mechanics for reparametrization-invariant systems Phys. Rev. D 56 6247
32. Anastopoulos C 2004 A geometric procedure for the reduced-state-space quantisation of constrained systems Preprint gr-qc/0411130
33. Klauder J and Daubechies I 1984 Quantum mechanical path integrals with Wiener measures for all polynomial Hamiltonians Phys. Rev. Lett. 52 1161
34. Daubechies I and Klauder J 1985 Quantum mechanical path integrals with Wiener measures for all polynomial Hamiltonians: 2 J. Math Phys. 26 2239
35. Maraner P 1992 Landau ground level on Riemann surfaces Mod. Phys. Lett. A 7 2555
36. Alicki R, Klauder J R and Lewadowski J 1993 Landau-level ground state degeneracy and its relevance for a general quantization procedure Phys. Rev. A 48 2358
37. Alicki R and Klauder J R 1996 Quantization of systems with a general phase space equipped with a Riemannian metric J. Phys. A: Math. Gen. 29 2475
38. Klauder J R 1988 Quantization is geometry, after all Am. Phys. 188 120
39. Klauder J R 1995 Geometric quantization from a coherent state viewpoint Preprint quant-ph/9510008
40. Omnés R 1989 Logical reformulation of quantum mechanics: 4. Projectors in semiclassical physics J. Stat. Phys. 57 357
41. Rideout D P and Sorkin R D 2000 A classical sequential growth dynamics for causal sets Phys. Rev. D 61 024002