2005/11/11 by Markus Penz, Gebhard Grübl, Sabine Kreidl +1 · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1088/0305-4470/39/2/012
published as J. Phys. A: Math. Gen. 39 423-433 (2006) · 12 pages, 8 figures
arxiv created 2005/11/11 · arxiv updated 2009/12/01
We derive some rigorous results concerning the backflow operator introduced by Bracken and Melloy. We show that it is linear bounded, self adjoint, and not compact. Thus the question is underlined whether the backflow constant is an eigenvalue of the backflow operator. From the position representation of the backflow operator we obtain a more efficient method to determine the backflow constant. Finally, detailed position probability flow properties of a numerical approximation to the (perhaps improper) wave function of maximal backflow are displayed.