On the distribution of the total energy of a system of non-interacting fermions: Random matrix and semiclassical estimates

DOI10.1016/S0167-2789(98)00270-XzbMath1027.82036arXivcond-mat/9806308MaRDI QIDQ1410937

D. Massart

Publication date: 15 October 2003

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/cond-mat/9806308

zbMATH Keywords

Gaussian distributionrandom matrixfermionssemiclassical formulasingle particle spectrum

Mathematics Subject Classification ID

Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Random matrices (algebraic aspects) (15B52) Miscellaneous applications of number theory (11Z05) Dynamics of random walks, random surfaces, lattice animals, etc. in time-dependent statistical mechanics (82C41)

Related Items (3)

Intermediate statistics in singular quarter-ellipse shaped microwave billiards* ⋮ Exact and approximate energy sums in potential wells ⋮ Embedded random matrix ensembles for complexity and chaos in finite interacting particle systems

Cites Work

• Chaos in classical and quantum mechanics
• Distribution of eigenfrequencies for the wave equation in a finite domain. III: Eigenfrequency density oscillations
• Semiclassical formula for the number variance of the Riemann zeros
• Random matrix theory and the Riemann zeros II:n-point correlations
• On the Distribution of Spacings Between Zeros of the Zeta Function
• Random matrix theory and the Riemann zeros. I. Three- and four-point correlations
• Statistical Theory of the Energy Levels of Complex Systems. IV
• Statistical Theory of the Energy Levels of Complex Systems. V
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