منابع مشابه
The Virial Theorem for Action-governed Theories
We describe a simple derivation of virial relations, for arbitrary physical systems that are governed by an action. The virial theorem may be derived directly from the action, A, with no need to go via the equations of motion, and is simply a statement of the stationarity of the action with respect to certain variations in the degrees of freedom. Only a sub-class of solutions that obey appropri...
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In its classical form the Virial Theorem concerns the behavior of a system S of n mass particles acting under Newtonian attraction in such a fashion that the center of mass 0 remains fixed and the potential energy V satisfies V> — <*> for all positive time t. The latter condition, which is not always stated explicitly, guarantees the analyticity of the coordinates of the particles in the indepe...
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Nonlocal gravity is the recent classical nonlocal generalization of Einstein’s theory of gravitation in which the past history of the gravitational field is taken into account. In this theory, nonlocality appears to simulate dark matter. The virial theorem for the Newtonian regime of nonlocal gravity theory is derived and its consequences for “isolated" astronomical systems in virial equilibriu...
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In the framework of the q-deformed Heisenberg algebra the investigation of qdeformation of Virial theorem explores that q-deformed quantum mechanics possesses better dynamical property. It is clarified that in the case of the zero potential the theoretical framework for the q-deformed Virial theorem is self-consistent. In the selfadjoint states the q-deformed uncertainty relation essentially de...
متن کاملExchange-Correlation Energy Density from Virial Theorem
The virial of the exchange potential in density functional theory yields the exchange energy, but the virial of the correlation potential does not yield the correlation energy. Via the adiabatic connection formula, we define a hypercorrelated potential whose virial is exactly the correlation energy. This exchange-correlation energy density is uniquely determined by the exchange-correlation ener...
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ژورنال
عنوان ژورنال: Fractional Differential Calculus
سال: 2011
ISSN: 1847-9677
DOI: 10.7153/fdc-01-04