A bstract After motivating an interest in the shape of topological charge density spectral function hot Yang-Mills theories, we estimate it with help thermally averaged classical real-time simulations, for N c = 2 , 3. subtracting a perturbative contribution at large frequencies, observe non-trivial small frequencies (a dip rather than peak), interpolating smoothly towards sphaleron rate zero f...

A novel method based on spectral Green functions is presented for the simulation of driven open quantum dynamics that can be described by Lindblad master equation in Liouville density operator space. The extends Hilbert space formalism and provides simple algebraic connections between non-driven frequency domain. shows remarkable analogies to use field theory such as elementary excitation energ...

This paper presents a numerical solution of a class of fractional optimal control problems (FOCPs) in a bounded domain having a noise function by the spectral Ritz method‎. ‎The Bernstein polynomials with the fractional operational matrix are applied to approximate the unknown functions‎. ‎By substituting these estimated functions into the cost functional‎, ‎an unconstrained nonlinear optimizat...

The spectral function of protons in the asymmetric nuclear matter is calculated in the self-consistent T -matrix approach. The spectral function per proton increases with increasing asymmetry. This effect and the density dependence of the spectral function partially explain the observed increase of the spectral function with the mass number of the target nuclei in electron scattering experiment...

We examine the formulae for the first and second derivatives of spectral functions of real symmetric matrices to understand why they have the form that they do. The development, which involves only elementary linear algebra and calculus, is based on computing directional derivatives of the spectral function and its gradient along a canonical set of orthonormal matrices. A particular aim of our ...