[Aspuru-Guzik Group List] ITAMP lunch seminar - Maxim Olchanyi, UMass Boston (Thu, 03/24)

*ITAMP Topical Lunch Discussion* *Speaker:* Maxim Olchanyi (University of Massachusetts at Boston) *Title:* An exactly solvable quantum four-body problem associated with the symmetries of an octacube *Abstract: *In this presentation, I show that eigenenergies and eigenstates of a system consisting of four one-dimensional hard-core particles with masses 6m, 2m, m, and 3m in a hard-wall box can be found exactly using Bethe ansatz. The ansatz is based on the exceptional affine reflection group F_4 associated with the symmetries and tiling properties of an octacube---a Platonic solid unique to four dimensions, with no three-dimensional analogues. *Date:* Thursday, March 24th *Time:* 12:00-1:30 pm Pizza will be served. *Location:* B-106 @ Center for Astrophysics (60 Garden Street) Directions: after entering the lobby of the CfA, turn right to enter the hallway of the B building. In the hallway, turn right again, and B-106 is there. -- Dr. Igor Pikovski Institute for Theoretical Atomic, Molecular and Optical Physics (ITAMP) Harvard-Smithsonian Center for Astrophysics 60 Garden St, MS-14; Cambridge, MA 02138, USA Tel.: +1 (617) 496-7613 e-mail: igor.pikovski(a)cfa.harvard.edu www.cfa.harvard.edu/~igor.pikovski/