Here, [[theta].sup.0.sub.0] and [[theta].sup.0.sub.i] represent the energy and momentum density
Similarly, field momentum density
is the product of inertia density and velocity.
Here [S.sub.i] are the spatial components of the momentum density
one-form as defined below.
Padmanabhan, "Momentum density
of spacetime and the gravitational dynamics," General Relativity and Gravitation, vol.
Defining the corresponding electromagnetic momentum density
as the vector product of fields [mathematical expression not reproducible] , and taking into account Equation (5), we obtain:
Having known a change of the momentum density
fluxes in various points of the matter, the density of OIF can be calculated without knowledge of a distribution of electrical and magnetic fields.
To the best of our knowledge, no one attempted the electronic structure and momentum density
of BaO and BaS using Compton spectroscopy.
Define the density, the velocity, the momentum density
, and the entropy density of each phase as [[rho].sub.[alpha]], [v.sup.[alpha].sub.i], [m.sup.[alppha].sub.i] and [s.sub.[alpha]], respectively, wherein, [alpha] = s and f, respectively, represent the solid phase, the free water phase and the bound water phase, the same hereinafter.
Among the topics are probability concepts in physics as the path to statistical mechanics, atoms in molecules, density-functional approximations for exchange and correlation, electron density and molecular similarity, probing electron dynamics with the Laplacian of the momentum density
, and applications of modern density functional theory to surfaces and interfaces.
Field quantities such as mass density, momentum density
, angular momentum density
, and energy density are defined on the mesoscopic space.
From the aforementioned E-L equations the configurational material stress and the configurational material momentum density
can be derived .