We show that a variety of nonequilibrium dynamics interacting many-body systems are universally characterized by an elegant relation, which we call the dynamic virial theorem. The out-of-equilibrium quantum correlations is entirely governed Tan' s contact. It gives rise to series observable consequences and closely related experiments with ultracold atoms. In particular, theorem provides experi...

The virial theorem relates averages of kinetic energy and forces in confined systems. It is widely used to relate stresses molecular simulation as measured at a boundary the interior system. In periodic systems, must be modified order produce useful results. We formulate so that it valid for both cross-check our formulation study small system using Monte Carlo dynamics simulations.

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...

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...

For a two-component Fermi gas in the unitarity limit (ie, with infinite scattering length), there is a well-known virial theorem, first shown by J. E. Thomas et al, Phys. Rev. Lett. 95, 120402 (2005). A few people rederived this result, and extended it to few-body systems, but their results are all restricted to the unitarity limit. Here I show that there is a generalized virial theorem for FIN...