The University of Queensland

 

 

Centre for Mathematical Physics

 

 

SEMINAR

 

Speaker:     Prof Demosthenes Ellinas, Department of Sciences,

Technical University of Crete, Greece

 

Title:           Operator Valued Measures from Wigner Function:

An Operational Approach

 

 

 

2pm, Wednesday 1st August, 2007

 

Priestley Building, room 140

 

Abstract:

 

Probability measures (quasi probability mass), given in the form of integrals of Wigner function over areas of the underlying phase space, give rise to operator valued probability measures (OVM), alias range operators.  General construction methods of probability OVMs are investigated in terms of geometric positive trace increasing maps (PTI) for general 1D domains, as well as 2D shapes e.g. circles, disks. Spectral properties of OVMs and operational implementations of their constructing PTI maps are investigated.  Entangled range operators are introduced and relations of the theory of range operators to unsharp measurments of quantum mechanics are pointed out.

 

 

 

 

All interested are invited to attend.

Enquiries to Katrina Hibberd email: keh@maths.uq.edu.au