Some Exact Results for a Two-Dimensional System of Particles |
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Authors: | R Sinclair |
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Institution: | HG G32.1, D-MATH, Eidgen?ssische Technische Hochschule, CH-8092 Zürich, Switzerland, CH
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Abstract: | The Laughlin variational wave function of a quantum liquid used in studying the fractional quantum Hall effect may be interpreted
as a two-dimensional system of particles interacting via a logarithmic interaction, with a centripetal force proportional
to the square of the distance from the origin. We present exact calculations of the partition function, radial distribution
function, and particle density for systems of up to six particles.
Received April 25, 1994; revised August 5, 1994; accepted for publication August 30, 1994 |
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