Integrable Systems and Their Applications


Maxim Olshanii (Olchanyi), PI

Image above: Ground state of a system of four hard balls in a box, with a mass spectrum 6:2:1:3, obtained using a method of images[JO15] . Dark lines are traces of the symmetry mirrors of an octacube: the sixths Platonic solid unique to four dimensions. This symmetry enables the method of images used. This picture was obtained using an intersection of the four-dimensional space the particles live in with a hyperplane and a hypersphere. This and similar particle systems generated by other multidimensional Platonic solids, form a skeleton for an entanglement amplifier[OSDJ16].

Last update: Mar 21, 2024

Mt. Ascutney, VT, USA

Marvin D. Girardeau (1930-2015)

Marvin Girardeau, the closest colleague and a mentor, the creator of the first ever exactly solvable quantum many-particle system, passed away on 13 January 2015. Obituary in Physics Today can be found here.