Metric Approach to Quantum Constraints

Brody, D C; Gustavsson, A C T and Hughston, L P. 2009. Metric Approach to Quantum Constraints. Journal of Physics A: Mathematical and Theoretical, 42(29), 295303. ISSN 1751-8113 [Article]

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Abstract or Description

A framework for deriving equations of motion for constrained quantum systems is introduced and a procedure for its implementation is outlined. In special cases, the proposed new method, which takes advantage of the fact that the space of pure states in quantum mechanics has both a symplectic structure and a metric structure, reduces to a quantum analogue of the Dirac theory of constraints in classical mechanics. Explicit examples involving spin- particles are worked out in detail: in the first example, our approach coincides with a quantum version of the Dirac formalism, while the second example illustrates how a situation that cannot be treated by Dirac's approach can nevertheless be dealt with in the present scheme.

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6 July 2009Published

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22 Feb 2022 11:26

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22 Feb 2022 11:26

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