Integer Partitions and Composite Fermions

Document Type

Presentation Abstract

Presentation Date

3-9-2004

Abstract

Combinatorial mathematics is not frequently associated with quantum physics. However, work in one discipline can motivate investigations in the other and vice versa. A recent conjecture regarding allowed multiplets in the composite fermion model led to a proof of the unimodality of restricted partitions with duplicate or consecutive parts. This in turn, allowed the original physics conjecture to be verified. Using generating functions and the KOH theorem, this talk will follow the harmonic development of these two fields, show how to generalize the original physics results and make connections to recent breakthroughs investigating the fractional quantum hall effect.

Additional Details

Tuesday, 9 March 2004
4:10 p.m. in Math 109

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