演講訊息 TALKS

We prove a product formula which involves the unitary group generated by a semibounded self-adjoint operator and an orthogonal projection P on a separable Hilbert space H, with the convergence in L2_loc(R; H). It gives a partial answer to the question about existence of the limit which describes quantum Zeno dynamics in the subspace Ran(P). The convergence in H is demonstrated in the case of a finite-dimensional P. The main result is illustrated in the example where the projection corresponds to a domain in R^d and the unitary group is the free Schr\"odinger evolution.