Composite Fermions and Integer Partitions

Journal of Combinatorial Theory. Series A

Volumn 95, Issue 2, 2001, Pages 390-397

  Benjamin, Arthur T ^a   Quinn, Jennifer J ^b   Quinn, John J ^c   Wójs, Arkadiusz ^c  

^a HARVEY MUDD COLLEGE   (United States)

^b OCCIDENTAL COLLEGE   (United States)

^c UNIVERSITY OF TENNESSEE   (United States)

Author keywords

Generating function; Restricted integer partition; Unimodality

Indexed keywords

EID: 0344707433     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.2001.3182     Document Type: Article

References (13)

1. G. E. Andrews, "The Theory of Partitions," Addison-Wesley, Reading, MA, 1976.
2. D. M. Bressoud, "Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture," Math. Assoc. of America, Washington, DC, 1999.
3. D. M. Bressoud, In the land of OZ, in "q-Series and Partitions" (D. Stanton, Ed.), IMA Volumes in Mathematics and Its Applications, Springer-Verlag, New York, 1989.
4. K. O'Hara, Unimodality of the Gaussian coefficient: A constructive proof, J. Combin. Theory Ser. A 53 (1990), 29-52.
5. J. K. Jain, Composite Fermion approach for the fractional quantum Hall effect, Phys. Rev. Lett. 63 (1989), 199-202.
6. R. B. Laughlin, Anomalous quantum Hall effect: An incompressible quantum fluid with fractionally charged excitations, Phys. Rev. Lett. 50 (1983), 1395-1398.
7. J. J. Quinn and A. Wójs, Composite fermions in fractional quantum Hall effect: Essential role of the pseudopotential, Phys. E 6 (2000), 1-4.
8. J. J. Quinn and A. Wójs, Composite fermions in fractional quantum Hall systems, J. Phys. 12 (2000), R265-R298.
9. D. C. Tsui, H. L. Störmer, and A. C. Gossard, Two dimensional magnetotransport in the extreme quantum limit, Phys. Rev. Lett. 48 (1982), 1559-1562.
10. K. von Klitzing, G. Dorda, and M. Pepper, New method for high-accuracy determination of the fine-structure constant based on quantized Hall resistance, Phys. Rev. Lett. 45 (1980), 494-497.
11. B. Wybourne, private communication, June 5, 2000.
12. k] for k < 20, in "q-Series and Partitions" (D. Stanton, Ed.), IMA Volumes in Mathematics and Its Applications, Springer-Verlag, New York, 1989.
13. D. Zeilberger, Kathy O'Hara's constructive proof of the unimodality of the Gaussian polynomials, Amer. Math. Monthly 96 (1989), 590-602.