MG12 - Talk detail |
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Participant |
Tsobanjan, Artur | |
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Institution |
The Pennsylvania State University - 104 Davey Laboratory - University Park - Pennsylvania - USA | |
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Session |
Talk |
Abstract |
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SQG2 |
Effective Constraints for Quantum Systems |
Exact procedures that follow Dirac's constraint quantization are usually technically involved and often difficult to implement in practice. We propose an ``effective'' scheme for obtaining the leading order semi-classical corrections to the dynamics of constrained quantum systems. Motivated by the geometrical view of quantum mechanics, our method mimics the classical Dirac-Bergmann algorithm and avoids direct reference to a particular representation of the physical Hilbert space. We illustrate the procedure through the example of a relativistic particle in Minkowski spacetime, which serves as a prototype for quantizing cosmological models. |