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Abstract The chiral phase transition of QCD is analyzed in a model combining random matrix elements of the Dirac operator with specially chosen non-random ones. The special form of the latter is… (More)

We interpret the discrepancy between semiempirical nuclear mass formulas and actual nuclear masses in terms of the residual interaction. We show that correlations exist among all binding energies and… (More)

The authors review the evidence for the applicability of random--matrix theory to nuclear spectra. In analogy to systems with few degrees of freedom, one speaks of chaos (more accurately: quantum… (More)

- M. E. Berbenni-Bitsch, Meinulf Göckeler, +7 authors Thomas Wilke
- 1998

Abstract The spectrum of the Dirac operator near zero virtuality obtained in lattice gauge simulations is known to be universally described by chiral random matrix theory. We address the question of… (More)

We investigate the spectral statistics of Hermitian matrices in which the elements are chosen uniformly from U (1), called the uni-modular ensemble (UME), in the limit of large matrix size. Using… (More)

Gutzwiller's semiclassical approximation is applied to systems of identical particles. The special case of antisymmetry under particle exchange is treated as an example. The Pauli principle is shown… (More)

Using a random-matrix approach and Monte-Carlo simulations, we generate scattering matrices and cross sections for compound-nucleus reactions. In the absence of direct reactions we compare the… (More)

For simple connected graphs with incommensurate bond lengths and with unitary symmetry we prove the Bohigas–Giannoni–Schmit (BGS) conjecture in its most general form. Using supersymmetry and taking… (More)

Max-Planck-Institut f̈ ur Kernphysik, Saupfercheckweg 1, D-69117 Heidelberg, Ger many (Dated: May 1, 2014) Abstract A new method to calculate level densities for non–interacti ng Fermions within the… (More)

Several experiments [1-3] show significant deviations from predictions of the statistical model of nuclear reactions. We summarize unsuccessful recent theoretical efforts to account for such… (More)