Based on a sumrule for the nucleon spin we expand quark and gluon orbital angular momentum operators and derive an evolution matrix for higher moments of the corresponding distributions. In combination with the spin-dependent DGLAP-matrix we find a complete set of spin and orbital angular momentum...
As a result, a magnetic helicity term appeared in a new torque equation for S, so that one-half of the phase shift derived from the helicity term was equivalent to the Faraday rotation angle. However, the orbital angular momentum L had no relation to the Faraday rotation. It was thus ...
Equations of motion for rigid bodies with the body-fixed co-ordinate system placed at or away from the centre of mass are derived in a clear and direct way by making use of the two basic equations of mechanics (Newton's second law and the corresponding law of angular momentum). The dynam...
The balance of angular momentum states that stress is symmetric: σij=σji The Voigt notation for the constitutive equation of the linear isotropic model is ⎡⎢⎢⎢⎢⎢⎢⎢⎢⎣σ11σ22σ33σ23σ13σ12⎤⎥⎥⎥⎥⎥⎥⎥⎥⎦=E(1+ν)(1−2ν)⎡⎢⎢...
The two physical parameters entering the equations (the mass and the angular momentum per unit mass) are assumed to be such that the mass effects are negligible with respect to the rotation effects. A non zero Riemann tensor is obtained. The order of magnitude of the physical effects is ...
Verification of the Cabaret schemes for the shallow water equations based on the conservation of angular momentum To solve the problems of large-scale dynamics of the atmosphere and the ocean, a system of single-layer two-dimensional shallow water equations on a sphere is often used [1, 2]. ...
For the composite particle in Fig. 2 consisting of the lattice continuum dvatyand the electronic continuum of dv′ aty+η, the angular momentum equation about the origin of the reference frame isɛɛɛɛɛɛɛɛɛɛddt(ɛijkyjvkρdv)=ɛijkyjρfkdv+ɛijk(yj+12dy1δ...
Relativistic Angular Momentum for Asymptotically Flat Einstein-Maxwell Manifolds Treating general relativity as a Yang-Mills theory based on Lorentz invariance of the second kind leads to the derivation of six spin currents, which are l... BD Bramson - 《Proceedings of the Royal Society A Mathemati...
Bound states of relativistic systems of two particles are considered in the special case of an interaction operator which admits reduction of partial integral equations to differential equations directly in the momentum representation. Exact analytical solutions of these equations are obtained for some ...
I. Momentum and Angular Momentum A study is made of the motion of an extended body in arbitrary gravitational and electromagnetic fields. In a previous paper it was shown how to construct ... WG Dixon - 《Proceedings of the Royal Society A Mathematical》 被引量: 232发表: 1970年 A ...