54 citations · 110 across the 6 of their papers we have counts for
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Transitions with the same energy difference in the Bohr model of the hydrogen atom
Matthias W. Reinsch
In the Bohr model of the hydrogen atom, the energy levels are a negative constant divided by the square of the level number. It is well known that special pairs of transitions exis…
Moyal star product approach to the Bohr-Sommerfeld approximation
Matthew Cargo, Alfonso Gracia-Saz, R. G. Littlejohn +2
The Bohr-Sommerfeld approximation to the eigenvalues of a one-dimensional quantum Hamiltonian is derived through order (i.e., including the first correction term beyond t…
Lattice representations of Penrose tilings of the plane
Matthias W. Reinsch
Two-, three- and four-dimensional representations of Penrose tilings of the plane are described. The vertices that occur in these representations lie on lattices. Symmetries and me…
Asymptotics of Clebsch-Gordan Coefficients
Matthias W. Reinsch, James J. Morehead
Asymptotic expressions for Clebsch-Gordan coefficients are derived from an exact integral representation. Both the classically allowed and forbidden regions are analyzed. Higher-or…
A simple expression for the terms in the Baker-Campbell-Hausdorff series
Matthias W. Reinsch
A simple expression is derived for the terms in the Baker-Campbell-Hausdorff series. One formulation of the result involves a finite number of operations with matrices of rational…