Markus Penz et al 2006 J. Phys. A: Math. Gen. 39 423 doi:10.1088/0305-4470/39/2/012
Markus Penz1, Gebhard Grübl1, Sabine Kreidl1 and Peter Wagner2
Show affiliationsWe derive some rigorous results concerning the backflow operator introduced by Bracken and Melloy. We show that it is linear bounded, self-adjoint and non-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) wavefunction of maximal backflow are displayed.
47G10 Integral operators (See also 45P05)
Issue 2 (13 January 2006)
Received 11 August 2005, in final form 25 October 2005
Published 14 December 2005
Markus Penz et al 2006 J. Phys. A: Math. Gen. 39 423
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