UBC DG-MP-PDE Seminar: Michael Hott
Topic
On Quantum Boltzmann Fluctuation Dynamics at the Presence of a Bose-Einstein Condensate
Speakers
Details
Abstract:
The derivation of a Boltzmann equation from first principles has been a long-standing problem. In a seminal work, Lanford showed the validity of a classical Boltzmann equation for an ideal dilute hard-sphere gas for times up to one third of the collision time. A lot of progress has been made ever since. I will explain how a cubic quantum Boltzmann equation arises within the fluctuation dynamics of a Bose-Einstein condensate, starting with the van Neumann equation for an ideal Boson gas.
The derivation of a Boltzmann equation from first principles has been a long-standing problem. In a seminal work, Lanford showed the validity of a classical Boltzmann equation for an ideal dilute hard-sphere gas for times up to one third of the collision time. A lot of progress has been made ever since. I will explain how a cubic quantum Boltzmann equation arises within the fluctuation dynamics of a Bose-Einstein condensate, starting with the van Neumann equation for an ideal Boson gas.
Additional Information
Online Talk: For the zoom link, contact spicard@math.ubc.ca
Event webpage:
https://www.math.ubc.ca/events/aug-3-2021-quantum-boltzmann-fluctuation-dynamics-presence-bose-einstein-condensate
Michael Hott, UT Austin