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• W1545137160 abstract "Mean Coulomb energy of 2d Dyson gas in quadratic potential is examined from combinatorial viewpoint. For beta = 1, we find a recursive relation on mean energy and obtain its exact (finite N) solution in closed form in terms of the hypergeometric function 3F2. Using this exact solution, we derive the large-N asymptotic expansion of mean energy and show, that this expansion contains half-integer powers of N." @default.
• W1545137160 created "2016-06-24" @default.
• W1545137160 creator A5057272347 @default.
• W1545137160 date "2011-02-01" @default.
• W1545137160 modified "2023-09-27" @default.
• W1545137160 title "Exact solution for mean energy of 2d Dyson gas at <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML altimg=si1.gif overflow=scroll><mml:mi>β</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn></mml:math>" @default.
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• W1545137160 doi "https://doi.org/10.1016/j.physleta.2011.01.004" @default.
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