Symplectic Approach to Quantum Constraints

Brody, D C; Gustavsson, A C T and Hughston, L P. 2008. Symplectic Approach to Quantum Constraints. Journal of Physics A: Mathematical and Theoretical, 41(47), 475301. ISSN 1751-8113 [Article]

No full text available

Abstract or Description

A general prescription for the treatment of constrained quantum motion is outlined. We consider in particular constraints defined by algebraic submanifolds of the quantum state space. The resulting formalism is applied to obtain solutions to the constrained dynamics of systems of multiple spin particles. When the motion is constrained to a certain product space containing all of the energy eigenstates, the dynamics thus obtained are quasi-unitary in the sense that the equations of motion take a form identical to that of unitary motion, but with different boundary conditions. When the constrained subspace is a product space of disentangled states, the associated motion is more intricate. Nevertheless, the equations of motion satisfied by the dynamical variables are obtained in closed form.

Item Type:

Article

Identification Number (DOI):

https://doi.org/10.1088/1751-8113/41/47/475301

Departments, Centres and Research Units:

Computing

Dates:

DateEvent
20 October 2008Published

Item ID:

31499

Date Deposited:

22 Feb 2022 11:31

Last Modified:

22 Feb 2022 11:31

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

https://research.gold.ac.uk/id/eprint/31499

Edit Record Edit Record (login required)