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math-ph2008★ 1 cited
Semicircle Law of Vandermonde Ensemble
Da Xu, Lihe Wang
In the present paper, we give a simple proof of the level density of fixed trace square ensemble.We derive the integral equation of the level density of fixed trace square ensemble…
math-ph2007
Derivation of Index theorem by Supersymmetry
Da Xu
The present paper gives calculations in detail to prove several special cases of Atiyah-Singer theorem through supersymmetric -models. Some technical tricks are employed to calc…