Dear colleagues: Details below, courtesy of Mike Towler at Cavendish ... Best, Jeremy
------ Jeremy Butterfield: http://en.wikipedia.org/wiki/Jeremy_Butterfield Homepage: http://www.trin.cam.ac.uk/butterfield/ Trinity College, Cambridge CB2 1TQ (tel = 01223 761524 (direct) or 07896 471002 (mobile)). Visit the journal, Studies in the History and Philosophy of Modern Physics http://www.sciencedirect.com/science/journal/13552198 +------------------------------------------------------------------------+ |Dr. Mike Towler (mdt26 at cam.ac.uk) Theory of Condensed Matter (Rm 513)| | Cavendish Laboratory, University of Cambridge, Cambridge CB3 0HE, UK | |Tel. +44-(0)1223-746644 OR -334256 (College) Fax. +44-(0)1223-337356| +----------------------: www.tcm.phy.cam.ac.uk/~mdt26 :------------------+ Weak Measurements: Wigner-Moyal and Bohm in a New Light? TCM Seminar Room, Mott building (top floor), Cavendish Lab. Wed 1st Feb 11am. B. J. Hiley. Abstract I 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, while the energy gives the Bohm energy for the Schroedinger particle. I will 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 the Pauli and Dirac particles using Clifford algebras [3] can be combined with the Moyal algebra give weak values involving spin [4]. Finally I will briefly indicate how all of this finds a natural setting in a non-commutative geometry. Further reading [1] S. Kocsis, B. Braverman, S. Ravets, M.J. Stevens, R.P. Mirin, L.K. Shalm and A.M. Steinberg, Observing the average trajectories of single photons in a two-slit interferometer, Science, 332, 1170-73 (2011). [2] Y. Aharonov and L. Vaidman, Properties of a quantum system during the time interval between measurements, Phys. Rev. A, 41, 11-20 (1990). [3] B.J. Hiley and R.E. Callaghan, Clifford Algebras and the Dirac-Bohm Quantum Hamilton-Jacobi Equation, Foundations of Physics, 42, 192-208 (2012). [4] B.J. Hiley, Weak Values: Approach through the Clifford and Moyal Algebras, arXiv/1111.6536. _____________________________________________________ Sent by the CamPhilEvents mailing list. To unsubscribe or change your membership options, please visit the list information page: http://bit.ly/CamPhilEvents Posts are now archived here: http://bit.ly/CamPhilEventsArchive
