Metric approach to quantum constraints

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.

13 pages, 1 figure

References in corpus (3)

• Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
• Hamiltonian Quantum Dynamics With Separability Constraints
• On the geometry of quantum constrained systems

Cited by in corpus (6)

• Fundamental length in quantum theories with PT-symmetric Hamiltonians II: The case of quantum graphs
• Emergence of classical behavior from the quantum spin
• Nonlinearity and constrained quantum motion
• Jensen-Shannon Divergence and Non-linear Quantum Dynamics
• Phase space hybrid theory of quantum measurement with nonlinear and stochastic dynamics
• Nonlinear evolution of coarse-grained quantum systems with generalized purity constraints