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arXiv · 0903.5261

Metric approach to quantum constraints

Dorje C. Brody·Anna C. T. Gustavsson·Lane P. Hughston
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Abstract

A new framework for deriving equations of motion for constrained quantum systems is introduced, and a procedure for its implementation is outlined. In special cases the framework reduces to a quantum analogue of the Dirac theory of constrains in classical mechanics. Explicit examples involving spin-1/2 particles are worked out in detail: in one example our approach coincides with a quantum version of the Dirac formalism, while the other 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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Dorje C. Brody, Anna C. T. Gustavsson, Lane P. Hughston. 2009-03-30. Metric approach to quantum constraints. https://doi.org/10.1088/1751-8113%2F42%2F29%2F295303

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