Zeno dynamics and constraints

Details Zeno dynamics and constraints Zeno dynamics and constraints

2003-10-07

arxiv.org/abs/quant-ph/0310045v2

J. Opt. B: Quantum Semiclass. Opt. 6 (2004) S492

Physics

Quantum Physics

21 pages

Scientific paper

10.1088/1464-4266/6/6/006

We investigate some examples of quantum Zeno dynamics, when a system undergoes very frequent (projective) measurements that ascertain whether it is within a given spatial region. In agreement with previously obtained results, the evolution is found to be unitary and the generator of the Zeno dynamics is the Hamiltonian with hard-wall (Dirichlet) boundary conditions. By using a new approach to this problem, this result is found to be valid in an arbitrary $N$-dimensional compact domain. We then propose some preliminary ideas concerning the algebra of observables in the projected region and finally look at the case of a projection onto a lower dimensional space: in such a situation the Zeno ansatz turns out to be a procedure to impose constraints.

Affiliated with

Also associated with

No associations

Rating

Zeno dynamics and constraints does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Zeno dynamics and constraints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Zeno dynamics and constraints will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-320946