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Physics Colloquium w/ Dr. Gregory A. Parker

Quantum Time-Dependent and Time-Independent Three- Body Rearrangement Collisions in Hyperspherical Coordinates

We present both time-­‐independent and time-­‐dependent methods for accurately and efficiently solving the quantum Schrodinger equation using hyperspherical coordinates. A new time-­‐dependent wave packet method is presented and compared to our time-­‐independent method for extracting state-­‐to-­‐state S-­‐matrix elements. This new method expresses the wave packet in a democratic set of (APH) coordinates during the evolution in time. Product channel eigenfunctions are projected onto the propagated wave packet along a fixed asymptotic hyperradius at each time step. The S matrix elements are proportional to the Fourier transform of the projection coefficients.

Refreshments at 3:00 pm in SC 103

Earlier Event: October 1
SPS Basktball
Later Event: October 7
Movie Night Social