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SUMMARY:Weak Measurements: Wigner-Moyal and Bohm in a New Light? - Basil H
 iley (Birkbeck College)
DTSTART:20120201T110000Z
DTEND:20120201T120000Z
UID:TALK35958@talks.cam.ac.uk
CONTACT:Dr. Mike Towler
DESCRIPTION:*Abstract*\n\nI will discuss the recent experiments of Kocsis 
 _et al._ [1] claiming to measure 'photon trajectories' using the notion of
  a 'weak' measurement [2]. This type of measurement enables us to obtain '
 weak values' from which the trajectories are constructed.  In the case of 
 the momentum operator the weak value turns out to be the Bohm momentum\, w
 hile the energy gives the Bohm energy for the Schroedinger particle.  I wi
 ll show how the same results are obtained using the Wigner-Moyal approach.
   I will also show how the recent results extending the Bohm approach to t
 he Pauli and Dirac particles using Clifford algebras [3] can be combined w
 ith the Moyal algebra give weak values involving spin [4]. Finally I will 
 briefly indicate how all of this finds a natural setting in a\nnon-commuta
 tive geometry.\n\n*Further reading*\n\n[1] S. Kocsis\, B. Braverman\, S. R
 avets\, M.J. Stevens\, R.P. Mirin\, L.K. Shalm and A.M. Steinberg\, _Obser
 ving the average trajectories of single photons in a two-slit interferomet
 er_\,  Science\, *332*\, 1170-73 (2011).\n\n[2] Y. Aharonov and L. Vaidman
 \, _Properties of a quantum system during the time interval between measur
 ements_\, Phys. Rev. A\, *41*\, 11-20 (1990).\n\n[3] B.J. Hiley and R.E. C
 allaghan\, _Clifford Algebras and the Dirac-Bohm Quantum Hamilton-Jacobi E
 quation_\,  Foundations of Physics\, *42*\, 192-208 (2012).\n\n[4] B.J. Hi
 ley\, _Weak Values: Approach through the Clifford and Moyal Algebras_\, ar
 Xiv/1111.6536.\n
LOCATION:TCM Seminar Room\, Cavendish Laboratory
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