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@cfa.harvard.edu
www.cfa.harvard.edu/~igor.pikovski/