Metric Approach to Quantum Constraints

Tools

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]

No full text available

Official URL: https://doi.org/10.1088/1751-8113/42/29/295303

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.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1088/1751-8113/42/29/295303