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Kinetic energy of an electron gas
Physical Review B, 1985We derive a simple expression for the correlation part of the kinetic energy of an inhomogeneous electron gas from density-functional theory. We show that in the local density approximation, this expression reduces to the virial theorem result ${t}_{\mathrm{xc}}=3{v}_{\mathrm{xc}}\ensuremath{-}4{\ensuremath{\epsilon}}_{\mathrm{xc}}$. We also derive the
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Testing the kinetic energy functional: Kinetic energy density as a density functional
The Journal of Chemical Physics, 2003A new method for defining an energy density for the noninteracting kinetic energy of density functional theory is given. The resulting energy density is a density functional determined completely by the kinetic energy functional itself. Although this method is not constructive, it allows for a direct comparison between exact and approximate functionals
Eunji Sim +3 more
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The Kinetic Energy of Polyatomic Molecules
Physical Review, 1934The Lagrangian and Hamiltonian expressions for the kinetic energy of a system of $N$ particles are obtained in such a form that the rotational, vibrational and coupling terms may be distinguished. The principal axes of inertia are used to define rotation.
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The Journal of the Acoustical Society of America, 1984
A device for absorbing kinetic energy derived from an element oscillating in a direction parallel to a longitudinal axis of the device. The device has a housing coupled to the oscillating member and defining a chamber bounded by opposite inner end walls and an inner lateral wall of the housing.
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A device for absorbing kinetic energy derived from an element oscillating in a direction parallel to a longitudinal axis of the device. The device has a housing coupled to the oscillating member and defining a chamber bounded by opposite inner end walls and an inner lateral wall of the housing.
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A hybrid kinetic energy harvester for applications in electric driverless buses
International Journal of Mechanical Sciences, 2022Minfeng Tang, Lingji Kong, Ali Azam
exaly