Interacting Bosonic Systems
Michael Bishop
Abstract: Systems of interacting particles are difficult to analyze and understand which makes it a field rich in research questions. To try and grasp at understanding, various assumptions and simplifications have been attempted to make these systems easier to manage. In the case of interacting Boson systems, this simplification takes us from large linear systems of symmetric tensors to small nonlinear systems of C^2 functions. As a result, it is necessary to try and solve the nonlinear differential equations analytically. It turns out the internet sources like Wolfram Alpha are a viable source of solutions if you are willing to mathematically verify it. In this talk, I will present how to estimate a solution, then solve the differential equation using using Jacobi elliptic functions. If there is time, I will also present results that follow from this solution.
February 8th, 2012, at noon
Math 402.
Bagels, cookies, coffee and soda will be provided.
See you there!