Differential rotation and angular momentum

Rotation and Angular Momentum

There is a fundamental connection between the angular momentum (a mechanical quantity) and the rotation operators (which is a symmetry group). The angular momentum is the generator of rotations. Because of this connection, many properties of angular momentum operators can be derived from the properties of the rotation group. We will derive these properties (mainly the commutation relations) sta...

Accelerated rotation with orbital angular momentum modes

Christian Schulze,1 Filippus S. Roux,2 Angela Dudley,2 Ronald Rop,3 Michael Duparré,1 and Andrew Forbes2,4,* 1Institute of Applied Optics, Friedrich Schiller University, Fröbelstieg 1, 07743 Jena, Germany 2Council for Scientific and Industrial Research, P.O. Box 395, Pretoria 0001, South Africa 3Department of Physics, Egerton University, P.O. Box 536, Egerton 20115, Kenya 4School of Physics, Un...

Oceanic tidal angular momentum and Earth's rotation variations

Luni-solar tides affect Earth's rotation in a variety of ways. We give an overview of the physics and focus on the excitation of Earth rotational variations by ocean tides under the conservation of angular momentum. Various models for diurnal and semidiurnal tidal height and tidal current fields have been derived, following a legacy of a number of theoretical tide models, from the Topex/Poseido...

Quantized rotation of atoms from photons with orbital angular momentum.

We demonstrate the coherent transfer of the orbital angular momentum of a photon to an atom in quantized units of variant Planck's over 2pi, using a 2-photon stimulated Raman process with Laguerre-Gaussian beams to generate an atomic vortex state in a Bose-Einstein condensate of sodium atoms. We show that the process is coherent by creating superpositions of different vortex states, where the r...

Angular Momentum