Composite Fermions and Integer Partitions
Copyright policy )Composite Fermions and Integer Partitions
The authors 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. The proof uses the KOH theorem [\textit{D. Zeilberger}, Am. Math. Mon. 96, No. 7, 590-602 (1989; Zbl 0726.05005)]. This answers a previously open question of quantum mechanics involving the composite fermion model of the fractional quantum Hall effect.
- Harvey Mudd College United States
- University of Tennessee at Knoxville United States
- Tennessee State University United States
- Occidental College United States
Combinatorial aspects of partitions of integers, generating function, Computational Theory and Mathematics, integer partitions, restricted integer partition, Many-body theory; quantum Hall effect, unimodality, Discrete Mathematics and Combinatorics, Elementary theory of partitions, Theoretical Computer Science
Combinatorial aspects of partitions of integers, generating function, Computational Theory and Mathematics, integer partitions, restricted integer partition, Many-body theory; quantum Hall effect, unimodality, Discrete Mathematics and Combinatorics, Elementary theory of partitions, Theoretical Computer Science
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