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Correspondence between tensorial spin-s and spin-weighted spherical harmonics
(Springer/Plenum Publishers, 2020-06-09)
The tensorial spin-s and the spin weighted spherical harmonics are functions on the sphere which are extremely useful for many calculations in general relativity. These sets of functions constitute two orthonormal bases ...
The hydrogen atom via the four-dimensional spherical harmonicsThe hydrogen atom via the four-dimensional spherical harmonics
(Revista Mexicana de Física, 2009)
Ladder Operators for the Spherical 3D Harmonic Oscillator
(Sociedade Brasileira de Física, 2020-12-21)
The Schrödinger equation for an isotropic three-dimensional harmonic oscillator is solved using ladder operators. The starting point is the shape invariance condition, obtained from supersymmetric quantum mechanics. ...
Spherical analysis on homogeneous vector bundles of the 3-dimensional euclidean motion group
(Springer Wien, 2018-04)
We consider R3 as a homogeneous manifold for the action of the motion group given by rotations and translations. For an arbitrary τ∈ SO(3) ^ , let Eτ be the homogeneous vector bundle over R3 associated with τ. An interesting ...