Here, [[theta].sup.0.sub.0] and [[theta].sup.0.sub.i] represent the energy and
momentum density components, respectively.
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] [15], 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 [8].