60 citations · 677 across the 102 of their papers we have counts for
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Sum rules for Clebsch-Gordan coefficients from group theory and Runge-Lenz-Pauli vector
Jean-Christophe Pain
We present sum rules for Clebsch-Gordan coefficients in the framework of SO(4) group-theoretical description of the hydrogen atom. The main results are obtained using properties of…
Closed forms of the Zassenhaus formula
Léonce Dupays, Jean-Christophe Pain
The Zassenhaus formula finds many applications in theoretical physics or mathematics, from fluid dynamics to differential geometry. The non-commutativity of the elements of the alg…
Expression of the Holtsmark function in terms of hypergeometric and Airy functions
Jean-Christophe Pain
The Holtsmark distribution has applications in plasma physics, for the electric-microfield distribution involved in spectral line shapes for instance, as well as in astrophysics fo…
A new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group
Jean-Christophe Pain
We present a new sum rule for Clebsch-Gordan coefficients using generalized characters of irreducible representations of the rotation group. The identity is obtained from an integr…
Commutation relations of operator monomials
Jean-Christophe Pain
In this short paper, the commutator of monomials of operators obeying constant commutation relations is expressed in terms of anticommutators. The formula involves Bernoulli number…