Two-body Coulomb problem and g(2) algebra (once again about the Hydrogen atom)

Once again about interchain hopping

Renormalization group equations and a phase diagram are derived for a system of two chains with a single-electron hopping between chains in order to correct the results of a recent paper by F. V. Kusmartsev, A. Luther, and A. Nersesyan, Pis’ma v Zh. Exp. Teor. Fiz. 55, 692 (1992) [JETP Lett. 55, 724 (1992)]. In a recent paper [1], the effect of a single-electron hopping (SEH) between chains in ...

Hyperspherical Coulomb spheroidal representation in the Coulomb three-body problem

The new representation of the Coulomb three-body wave function via the well-known solutions of the separable Coulomb two-centre problem φj(ξ, η) = Xj(ξ)Yj(η) is obtained, where Xj(ξ) and Yj(η) are the Coulomb spheroidal functions. Its distinguishing characteristic is the coordination with the boundary conditions of the scattering problem below the three-particle breakup. That is, the wave funct...

The Central Force Problem: Hydrogen Atom

Schwarzschild and Synge Once Again

We complete the historical overview about the geometry of a Schwarzschild black hole at its horizon by emphasizing the contribution made by J. L. Synge in 1950 to its clarification. KEY: Schwarzschild solution; Synge; black hole; horizon

Measurement without Theory, Once Again

Bailey and Collins (2011) argue that Greenwood, Seshadri, and Vandenbroucke’s (2005) hypothesis that the baby boom was partly due to a burst of productivity in the household sector is not supported by evidence. This conclusion is based on regression results showing that appliance ownership is negatively correlated with fertility. They also argue that the Amish, who limit the use of modern techn...