When: 
Friday, November 9, 2012 - 12:00pm - 1:00pm
Where: 
Hugel 103
Presenter: 
Prof. Alberto Ibort, Dept. of Mathematics, Univ. Carlos III de Madrid
Price: 
Free
Today, Tomography is a standard imaging technique based on the mathematical work of J. Radon. The Radon transform allows one to reconstruct density functions by analyzing cross sectional data produced by probing an object. To accurately describe the fundamental structure of matter, however, we have to use quantum mechanics. The quantum state of a physical system (an electron, a fly or a planet) can be represented as a vector in some linear space. Quantum tomography attempts to reconstruct the quantum state (i.e., the vector) of a given physical system out of cross sectional data sets, thus extending the domain of standard tomography to the microscopic scale. We will briefly review the mathematics of the Radon transform with elementary calculus. We will then discuss quantum physics as it applies to tomography by using elementary finite dimensional linear algebra.
Sponsored by: 
Civil Engineering, Math, and Physics

Contact information

Name: 
Andrew Kortyna