This paper develops the terms of order $\mathrm{\ensuremath{\Elzxh}}$ for quantum kinetic theory heavy fermions in QED, especially which contribute to spin polarization both and photons. is a significant first step developing complete analysis QCD, relevant ion collisions.

We develop the theory of quantum scars for fields. By generalizing formalisms Heller and Bogomolny from few-body mechanics to fields, we find that unstable periodic classical solutions field equations imprint themselves in a precise manner on bands energy eigenfunctions. This indicates breakdown thermalization at certain scales, can be characterized via semiclassics. As an explicit example, con...

Two bonding models i.e cumullenic and acetylenic models have been proposed to account for thebonding patterns in linear carbon clusters while the bonding patterns in cyclic and 3D geometrieS of theseclusters have remained ambiguous.This work presents the bonding patterns in various C4 and C5 pure clusters at MP2/aug-cc-pVTZ level oftheory. This subject is studied in the light of modern bonding ...

this paper aims to study a generalized double sinh-gordon equation, which appears in several physical phenomena such as integrable quantum field theory, kink dynamics and fluid dynamics. lie symmetry analysis together with the simplest equation method is used to obtain exact solutions for this equation. moreover, we derive conservation laws for the equation by using two different approaches, na...