54 citations · 110 across the 6 of their papers we have counts for
6 papers
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…
A formula for the number of days between the winter solstice and the latest sunrise
Matthias Reinsch
A simple closed-form expression for the number of days between the winter solstice and the latest sunrise is derived. Formulas for the summer solstice and the sunset are derived as…
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…