Results 271 to 280 of about 1,799,307 (309)
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Journal of Molecular Structure: THEOCHEM, 1992
Abstract The concept of kinetic energy densities has been discussed, with particular emphasis on the expression that may be derived from the Weyl-Wigner phase-space representation of quantum mechanics. The actual form of this expression, and of three other expressions for the kinetic energy density, has been calculated and plotted for the atoms ...
Jens Peder Dahl, Bjarne Amstrup
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Abstract The concept of kinetic energy densities has been discussed, with particular emphasis on the expression that may be derived from the Weyl-Wigner phase-space representation of quantum mechanics. The actual form of this expression, and of three other expressions for the kinetic energy density, has been calculated and plotted for the atoms ...
Jens Peder Dahl, Bjarne Amstrup
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1997
As a youngster, you may have visited an amusement park where you were captivated by the variety of entertainment, diversions, rides, and contests. You may have since wondered about the engineering marvels ranging from the stupefying Ninga challenge roller coaster to the pleasurable Ferris wheel.
Bichara B. Muvdi +2 more
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As a youngster, you may have visited an amusement park where you were captivated by the variety of entertainment, diversions, rides, and contests. You may have since wondered about the engineering marvels ranging from the stupefying Ninga challenge roller coaster to the pleasurable Ferris wheel.
Bichara B. Muvdi +2 more
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1984
Publisher Summary This chapter describes kinetic energy. A body that is in motion possesses kinetic energy. The amount of kinetic energy in the body depends upon the mass and the velocity of the body. There are two forms of kinetic energy: translatory or linear; and rotational or angular.
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Publisher Summary This chapter describes kinetic energy. A body that is in motion possesses kinetic energy. The amount of kinetic energy in the body depends upon the mass and the velocity of the body. There are two forms of kinetic energy: translatory or linear; and rotational or angular.
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On the positivity of the kinetic-energy density
Il Nuovo Cimento B Series 11, 1994We study the positivity of a mixed form of the kinetic-energy density:\(\tau _m (r) = (1/2)(\hbar ^2 /2m)[ - Re \psi ^ * (r)\Delta \psi (r) + |\nabla \psi (r)|^2 ]\). We show that for local Schrodinger equations with monotonic and other simple potentials, the positivity of τm can be checked from its asymptotic behaviour.
Lombard, R.J., Moszkowski, S.A.
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Energy transfer and kinetics in mechanochemistry
Environmental Science and Pollution Research, 2017Mechanochemistry (MC) exerts extraordinary degradation and decomposition effects on many chlorinated, brominated, and even fluorinated persistent organic pollutants (POPs). However, its application is still limited by inadequate study of its reaction kinetic aspects.
Qiongjing Mao +5 more
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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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Kinetic energy as a perturbation
Physical Review C, 1982The potential energy V is taken as the unperturbed Hamiltonian and the kinetic energy K is used as the perturbation. As K is a semi-positive definite operator, one may use standard Pade approximants to reconstruct the Brillouin-Wigner functional. It is shown that, while the bare projector (E-V)/sup -1/ is plagued in the complex E plane by the cut which
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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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2019
In this chapter, we will learn the theorem of kinetic energy. First, the concepts of work and kinetic energy are given. Then, the theorem of kinetic energy is introduced, and some examples are given to show the solving steps.
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In this chapter, we will learn the theorem of kinetic energy. First, the concepts of work and kinetic energy are given. Then, the theorem of kinetic energy is introduced, and some examples are given to show the solving steps.
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