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A Note on the Analyticity of Density of States
Analyticity of Density of States Mathematical Physics
2012/5/9
We consider the $d$-dimensional Anderson model, and we prove the density of states is locally analytic if the single site potential distribution is locally analytic and the disorder is large. We emplo...
视频:南京大学大学物理学第45讲 Probability density。
Uniform existence of the integrated density of states on metric Cayley graphs
random Schrodinger operator metric graph quantum graph integrated density of states
2011/7/27
Abstract: Given a finitely generated amenable group we consider ergodic random Schr\"odinger operators on a Cayley graph with random potentials and random boundary conditions. We show that the normali...
Homogenization of Steklov spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: The asymptotic behavior of second order self-adjoint elliptic Steklov eigenvalue problems with periodic rapidly oscillating coefficients and with indefinite (sign-changing) density function ...
Two-scale convergence of elliptic spectral problems with indefinite density function in perforated domains
Homogenization eigenvalue problems perforated domains indefinite weight function two-scale convergence
2011/7/28
Abstract: Spectral asymptotics of linear periodic elliptic operators with indefinite (sign-changing) density function is investigated in perforated domains with the two-scale convergence method. The l...
Energy density in density functional theory: Application to crystalline defects and surfaces
Energy density density functional theory crystalline defects surfaces
2010/11/25
We propose a method to decompose the total energy of a supercell containing defects into
contributions of individual atoms, using the energy density formalism within density functional
theory. The s...
Time-Dependent Density Functional Theory for Driven Lattice Gas Systems with Interactions Driven Lattice Gas Systems with Interactions
Time-Dependent Density Functional Theory Driven Lattice Gas Systems
2010/11/23
We present a new method to describe the kinetics of driven lattice gases with particle-particle
interactions beyond hard-core exclusions. The method is based on the time-dependent density
functional...
Time-dependent occupation numbers in reduced-density-matrix functional theory: Correlation-induced oscillations
Time-dependent occupation numbers reduced-density-matrix functional theory
2010/11/18
We prove that if the two-body terms in the equation of motion for the one-body reduced density
matrix are approximated at each instant of time from ground-state functionals, the eigenvalues of the on...
On the high-density expansion for Euclidean Random Matrices
high-density expansion Euclidean Random Matrices
2010/11/22
Diagrammatic techniques to compute perturbatively the spectral properties of Euclidean random
matrices (ERM) in the high-density regime are introduced and discussed in detail. Such techniques are dev...
Comment on "Response calculations with an independent particle system with an exact one-particle density matrix''
calculations independent particle system one-particle density matrix
2010/11/16
We point out an error in the argument [PRL 105, 013002 (2010)] that the time independence of the occupation numbers in the adiabatic approximation follows from the invariance of the ground-state inter...
Calibration of the Particle Density in Cellular-Automaton Models for Traffic Flow
Particle Density Traffic Flow Cellular-Automaton Models
2010/4/2
We introduce density dependence of the cell size in cellular-automaton models for traffic flow, which allows a more precise correspondence between real-world phenomena and what observed in simulation....
Asymptotic mean density of sub-unitary ensemble
Asymptotic mean density sub-unitary ensemble
2010/4/7
The large N limit of mean spectral density for the ensemble of NxN sub-unitary matrices derived by Wei and Fyodorov (J. Phys. A: Math. Theor. 41 (2008) 50201) is calculated by a modification of the sa...
The Integrated Density of States for an Interacting Multiparticle Homogeneous Model and Applications to the Anderson Model
Multiparticle Homogeneous Model interacting quantum particles
2009/9/4
For a system of n interacting particles moving in the background of a “homogeneous” potential, we show that if the single particle Hamiltonian admits a density of states, so does the interacting n-par...
Bayesian Generalized Probability Calculus for Density Matrices
generalized probability probability calculus density matrix quantum Bayes rule
2010/4/8
One of the main concepts in quantum physics is a density matrix, which is a symmetric positive definite matrix of trace one. Finite probability distributions can be seen as a special case when the den...
Spectral Energy Density in a Kerr Nonlinear Blackbody
Kerr nonlinear blackbody nonpolariton spectral energy density
2007/8/15
2004Vol.42No.6pp.884-886DOI:
Spectral Energy Density in a Kerr Nonlinear Blackbody
CHENG Ze and XU Hong-Tao
Department of Physics, Huazhong University of Science and
Tec...