Orbital Angular Momentum


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Related to Orbital Angular Momentum: spin angular momentum

orbital angular momentum

[′ȯr·bəd·əl ′aŋ·gyə·lər mə′men·təm]
(mechanics)
The angular momentum associated with the motion of a particle about an origin, equal to the cross product of the position vector with the linear momentum. Also known as orbital momentum.
(quantum mechanics)
The angular momentum operator associated with the motion of a particle about an origin, equal to the cross product of the position vector with the linear momentum, as opposed to the intrinsic spin angular momentum. Also known as orbital moment.

Orbital Angular Momentum

 

the angular momentum of a microparticle moving in a strong field that has spherical symmetry. The term “orbital angular momentum” is due to the graphic representation of the motion of an atomic electron in a spherically symmetric field of the nucleus in a definite closed orbit.

According to quantum mechanics, the orbital angular momentum MI is quantized, that is, its value, as well as its projection on an axis arbitrarily selected in space (z-axis), can assume only certain discrete values:

where is Planck’s constant, l = 0, 1, 2, …is the azimuthal (orbital) quantum number, and m = l, l — 1, … , — l is the magnetic quantum number. The classification of the states of microparticles according to the values of l plays a major role in atomic theory, in the theory of the atomic nucleus, and in collision theory.

M. A. EL’IASHEVICH

References in periodicals archive ?
n] gives pure mechanical momentum which is responsible for the orbital angular momentum of a photon.
Therefore, the orbital angular momentum density of the elegant Laguerre-Gaussian beam is found to be
The Orbital Angular Momentum of Light: An Introduction (Les Allen and Miles Padgett).
Multi-planet exosystems all obey orbital angular momentum quantization per unit mass predicted by Quantum Celestial Mechanics (QCM).
By completing both rounds of measurements, the physicists proved that they could manipulate the final particle so that its polarization and orbital angular momentum perfectly matched those of the original photon.
Moreover, J' = S + L + l, where the electron orbital angular momentum L = I.
obtain from TMDs information on quark Orbital Angular Momentum (OAM).
Objective: The overall objective of the ROAM project is to investigate and demonstrate the use of the orbital angular momentum (OAM) modes of light for communications and networking.
During evolution first planets were formed when the orbital angular momentum of the planet is compared to the rotational angular momentum of the central body.
Objective: My scientific career to date has centered around the phase and intensity shaping of light beams, specifically for the pioneering studies of Orbital angular momentum.
Other approaches worth exploring for further research are that based on large-scale quantization in space plasmas [22], modelling celestial mechanics using the Schrodinger equation [21,27,29,39-41,43], resonance effects [25,28], orbital angular momentum quantization per unit mass [30, 37], fractal scaling modeling using the continued fraction method [31], conservation of mass and momentum, and stability of the angular momentum deficit [35,36], the stochastisation hypothesis [34], macroscopic quantization due to finite gravitational propagation speed [38], and the Weyl-Dirac approach to gravity [42].