We compute statistical equilibrium states of rotating self-gravitating systems enclosed within a box by maximizing the Fermi-Dirac entropy at fixed mass, energy and angular momentum. The Fermi-Dirac distribution describes quantum particles (fermions) subject to Pauli’s exclusion principle. It is also a typical prediction of Lynden-Bell’s theory of violent relaxation for collisionless stellar sy...

Using perturbation theory and the field theoretical renormalization group approach we consider a two-dimensional anisotropic truncated Fermi Surface(FS) with both flat and curved sectors which approximately simulates the “cold” and “hot” spots in the cuprate superconductors. We calculate the one-particle two-loop irreducible functions Γ and Γ as well as the spin, the charge and pairing response...

M. Bovet, D. Popović, F. Clerc, C. Koitzsch, U. Probst, E. Bucher, H. Berger, D. Naumović, and P. Aebi Département de Physique, Université de Fribourg, Pérolles, CH-1700 Fribourg, Switzerland Experimentalphysik, Universität des Saarlandes, D-66123 Saarbrücken, Germany Institut de Physique, Université de Neuchâtel, CH-2000 Neuchâtel, Switzerland Fachbereich Physik, Universität Konstanz, D-78457 ...

We study the mixed-valence regime of a generalized Anderson impurity model using the bosonization approach. This single-impurity problem is defined by the U5` Anderson model with an additional densitydensity interaction, as well as an explicit exchange interaction, between the impurity and conduction electrons. We find three points in the interaction parameter space at which all the correlation...

We examine the quasiparticle lifetime and spectral weight near the Fermi surface in the two-dimensional Hubbard model. We use the FLEX approximation to self-consistently generate the Matsubara Green’s functions and then we analytically continue to the real axis to obtain the quasiparticle spectral functions. We compare the spectral functions found in the nearest neighbor hopping only Hubbard mo...

The exchange interaction arising from particle indistinguishability is of central importance in the physics many-particle quantum systems. Here we study analytically dynamical generation entanglement induced by this an isolated system, namely, ideal Fermi gas confined a chaotic cavity, which described non-Gaussian pure state and evolves unitarily it. We find that breakdown quantum-classical cor...

in this paper, a bayesian approach is proposed for shift point detection in an inverse gaussian distribution. in this study, the mean parameter of inverse gaussian distribution is assumed to be constant and shift points in shape parameter is considered. first the posterior distribution of shape parameter is obtained. then the bayes estimators are derived under a class of priors and using variou...