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Virial Theorem and Hypervirial Theorem in a spherical geometry
Viral Theorem Perturbation Theory Spherical geometry
2011/2/25
In the paper, we obtain the Virial Theorem and Hypervirial Theorem in a spherical geometry.
The Hypervirial Theorem and Hellmann-Feynman Theorem are used to formulate a perturbation
theorem without ...
A generalized virial theorem and the balance of kinetic and potential energies in the semiclassical limit
Virial theorem semiclassical limit classically forbidden region
2010/12/1
We obtain two-sided bounds on kinetic and potential energies of a bound state of a quantum particle in the semiclassical limit, as the Planck constant ~ ! 0. Proofs of these results rely on the genera...
Quantum mechanical virial theorem in systems with translational and rotational symmetry
Quantum mechanical virial theorem symmetry
2010/4/8
Generalized virial theorem for quantum mechanical nonrelativistic and relativistic systems with translational and rotational symmetry is derived in the form of the commutator between the generator of ...
Large values for the mass-to-light ratio (ϒ) in self-gravitating systems is one of the most important evidences of dark matter. We propose a expression for the mass-to-light ratio in spherical sy...