Fetching the paper…

Reading the bibliography…

Effective approach to the problem of time: general features and examples · Around

2010

Effective approach to the problem of time: general features and examples

Bojowald, Martin, Hoehn, Philipp A, Tsobanjan, Artur

Original
PDF
Post on X

Understand

The effective approach to quantum dynamics allows a reformulation of the Dirac quantization procedure for constrained systems in terms of an infinite-dimensional constrained system of classical type.

For semiclassical approximations, the quantum constrained system can be truncated to finite size and solved by the reduced phase space or gauge-fixing methods.
In particular, the classical feasibility of local internal times is directly generalized to quantum systems, overcoming the main difficulties associated with the general problem of time in the semiclassical realm.
The key features of local internal times and the procedure of patching global solutions using overlapping intervals of local internal times are described and illustrated by two quantum mechanical examples.

Built on

P. Hájíček, J. Math. Phys. 30
1990
Earlier work this paper cites.
C. Rovelli, Phys. Rev. D 42
1991
Earlier work this paper cites.
K. V. Kuchař, in Proc. 4th Canadian Conference on General Relativity and Relativistic Astrophysics
1992
Earlier work this paper cites.
K. V. Kuchař, in Proc. 13th Intern. Conf. on General Relativity and Gravitation
1992
Earlier work this paper cites.
M. Henneaux and C. Teitelboim, Quantization of Gauge Systems
1992
Earlier work this paper cites.
C. Zhu and J. R. Klauder, Am. J. Phys. 61
1993
Earlier work this paper cites.
C. J. Isham, in Integrable Systems, Quantum Groups, and Quantum Field Theories
1994
Earlier work this paper cites.
P. Hájíček, in Canonical Gravity: From Classical to Quantum
1994
Earlier work this paper cites.

Similar

J. Pollet, O. Méplan and C. Gignoux, J. Phys. A: Math. Gen. 28
1995
Cited alongside, same era.
J. B. Hartle, Class. Quant. Grav. 13
1996
Cited alongside, same era.
P. Hájíček, J. Math. Phys. 36
1997
Cited alongside, same era.
C. Rovelli, Quantum Gravity
2004
Cited alongside, same era.
M. Bojowald, P. Singh and A. Skirzewski, Phys. Rev. D 70
2004
Cited alongside, same era.
B. Dittrich, Gen. Rel. Grav. 39
2006
Cited alongside, same era.
D. Marolf, arXiv:gr-qc/9508015, R. M. Wald, Phys. Rev. D 48
2006
Cited alongside, same era.

Then

B. Dittrich and J. Tambornino, Class. Quant. Grav. 24
2007
Later among the works it cites.
R. Gambini, R. A. Porto and J. Pullin, Gen. Rel. Grav. 39
Original
2009
Later among the works it cites.
M. Bojowald, B. Sandhöfer, A. Skirzewski and A. Tsobanjan, Rev. Math. Phys. 21
Original
2009
Later among the works it cites.
M. Bojowald and A. Tsobanjan, Phys. Rev. D 80
Original
2009
Later among the works it cites.
J. M. Pons, D. C. Salisbury and K. A. Sundermeyer, Phys. Rev. D 80
Original
2009
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

M. Bojowald and A. Skirzewski, Rev. Math. Phys. 18

2006

Cited alongside, same era.

E. Anderson, arXiv:1009.2157[gr-qc]

Cited in the paper.

J. Barbour and B. Z. Foster, arXiv:0808.1223[gr-qc]

Cited in the paper.

M. Bojowald and A. Tsobanjan, Class. Quant. Grav. 27

2010

Closest in time.

M. Bojowald, P. A. Höhn and A. Tsobanjan, Class. Quantum Grav. 28

2011

Closest in time.