In this Letter, the general calculation formulas of radial matrix elements for the Hartmann
potential are obtained, and the recurrence relations of different power order radial matrix …

Based on the Hamiltonian identity, we propose a generalized expression of the second
hypervirial for an arbitrary central potential wavefunction in arbitrary dimensions D. We …

The original Weber action at a distance theory is valid for slowly varying effects, and it in
addition to predicting all of the usual electrodynamical results, leads to crucial effects where …

General recurrence relations for arbitrary non-diagonal, radial hydrogenic matrix elements
are derived in Dirac relativistic quantum mechanics. Our approach is based on a …

The general calculation formula for the matrix elements〈 n1′ l1′| rk| n2′ l2′〉 is
derived. We present a very lengthy and complicated general recurrence relation among the …

In this letter, based on Hamiltonian identity we propose a generalized expression of the
second hypervirial for an arbitrary central potential wave functions in higher dimensions D …

Abstract The Pasternack–Sternheimer theorem for bound states (Pasternack and
Sternheimer 1962 J. Math. Phys. 3 1280) is obtained directly by the methods of operator …

New non-unitary representations of the SU (2) algebra are introduced for the case of the
Dirac equation with a Coulomb potential; an extra phase, needed to close the algebra, is …

We present new sum rules for 3jm coefficients, which involve, in addition to the usual
weighting factor (2j+ 1) where j is an angular momentum, the quantity [j (j+ 1)] k with k⩾ 1 …

Recently we have evaluated the matrix elements⟨ Or p⟩, where O are the standard Dirac
matrix operators and the angular brackets denote the quantum-mechanical average for the …