Mathematical Physics Seminar
Seminar given by Roderich Tumulka and Denys Bonder
Date & time: Thursday, 28 January 2016 at 12:00PM - 3:00PM
MATHEMATICAL PHYSICS SEMINAR
Roderich Tumulka - Rutgers University
Thursday, January 28th, 12:00pm; Hill 705
"Probability Distribution of the Time at Which an Ideal Detector Clicks."
We consider a non-relativistic quantum particle surrounded by a detecting surface and ask how to compute, from the particle's initial wave function, the probability distribution of the time and place at which the particle gets detected. In principle, quantum mechanics makes a prediction for this distribution by solving the Schrodinger equation of the particle of interest together with the 10^23 (or more) particles of the detectors, but this is impractical to compute. Is there a simple rule for computing this distribution approximately for idealized detectors? I will argue in favor of a particular proposal of such a rule, the "absorbing boundary rule," which is based on a 1-particle Schrodinger equation with a certain "absorbing" boundary condition on the detecting surface. The mere existence of such a rule may seem surprising in view of the quantum Zeno effect. Time permitting, I may also be able to explain extensions of this rule to the cases of several particles, moving detectors, particles with spin, Dirac particles, curved space-time, and discrete space (a lattice). Some of the results are based on joint work with Abhishek Dhar and Stefan Teufel.
THERE WILL BE A BROWN BAG LUNCH FROM 1-2PM. PLEASE JOIN US
Denys Bonder - Princeton University
Thursday, January 28th, 2:00pm; Hill 705
"Measurement inspired modeling of quantum and classical dynamical systems "
In this talk, I will provide an answer to the question: “What kind of observations and assumptions are minimally needed to formulate a physical theory?” Our answer to this question leads to the new systematic approach of Operational Dynamical Modeling (ODM), which allows to deduce equations of motions from time evolution of observables. Using ODM, we are not only able to re-derive well-known physical theories (such as the Schrodinger and classical Liouville equations), but also infer novel physical dynamics (and solve open problems) in the realm of non-equilibrium quantum statistical mechanics.