G Date 2003 Class. Quantum Grav. 20 303 doi:10.1088/0264-9381/20/2/304
A discrete time presentation of quantum dynamics
G Date
Show affiliationsInspired by the discrete evolution implied by the recent work on loop quantum cosmology, we obtain a discrete time description of usual quantum mechanics viewing it as a constrained system. This description, obtained without any approximation or explicit discretization, mimics features of the discrete time evolution of loop quantum cosmology. We discuss the continuum limit, physical inner product and matrix elements of physical observables to bring out various issues regarding the viability of a discrete evolution. We also point out how a continuous time could emerge without appealing to any continuum limit.
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Issue 2 (21 January 2003)
Received 23 October 2002
Published 20 December 2002
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A discrete time presentation of quantum dynamics
G Date 2003 Class. Quantum Grav. 20 303
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-
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-
Coincidence analysis in gravitational wave experiments
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-
A numerical matrix technique for solving integral-transform equations
John W Norbury 1989 Eur. J. Phys. 10 237
-
Er3+:Yb3+ doped fibre with embedded FBG for simultaneous measurement of temperature and longitudinal strain
Steven Trpkovski et al 2005 Meas. Sci. Technol. 16 488
-
Transverse optic modes in monoclinic
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-
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-
Pointing acquisition and performance for the laser interferometry space antenna mission
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-
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