publications list


Analytic Coulomb matrix elements in the lowest Landau level

E.V. Tsiper

Department of Phjysics and Astronomy, SUNY at Stony Brook, Stony Brook, NY 11794 /
Department of Chemistry, Princeton University, Princeton, NJ 08544
Using Darling's theorem on products of generalized hypergeometric series an analytic expression is obtained for the Coulomb matrix elements in the lowest Landau level in the representation of angular momentum. The result is important in the studies of Fractional Quantum Hall effect (FQHE) in disk geometry. Matrix elements are expressed as simple finite sums of positive terms, eliminating the need to approximate these quantities with slowly-convergent series. As a by-product, an analytic representation for certain integals of products of Laguerre polynomials is obtained.

J. Math. Phys. 43, 1664 (2002)
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