Composite Fermions and Integer Partitions

Authors

Arthur T. Benjamin, Harvey Mudd CollegeFollow
Jennifer J. Quinn, Occidental College
John J. Quinn, University of Tennessee - Knoxville
Arkadiusz Wojs, University of Tennessee - Knoxville

Document Type

Article

Department

Mathematics (HMC)

Publication Date

8-2001

Abstract

We utilize the KOH theorem to prove the unimodality of integer partitions with at most a parts, all parts less than or equal to b, that are required to contain either repeated or consecutive parts. We connect this result to an open question in quantum physics relating the number of distinct total angular momentum multiplets of a system of N fermions, each with angular momentum ℓ, to those of a system in which each Fermion has angular momentum ℓ*=ℓ−N+1.

Rights Information

© 2001 Elsevier

DOI

10.1006/jcta.2001.3182

Recommended Citation

Benjamin, Arthur T., Jennifer J. Quinn, Arkadius Wojs, and John J. Quinn. "Composite Fermions and Integer Partitions." Journal of Combinatorial Theory, Series A, Vol 95, 390-397, 2001.