Atomic Displacements in the RS
Posted: Mon Oct 28, 2013 3:38 pm
Larson represents particles and atoms with "displacements," which is a measure of the deviation from unit speed. For example, a speed of 1/3 would have a displacement of 2 (1-1 = 0 in space, 3-1 = 2 in time). A spatial displacement is indicated in parenthesis, such as a speed of 3/1 would have a displacement of (2).
The rotational system that forms the basis of particles and atoms has two, magnetic (2D) rotations and a single electric (1D) rotation.
A magnetic rotation can be visualized as a disk with a radial measure. Larson's two, magnetic rotations form two, interpenetrating disks to produce the two, magnetic rotations that are designated "a" and "b" in the a-b-c notation. Technically, the "a" rotation is a×a and the "b" rotation is a×b, as the second, or subordinate rotation shares a common axis with the primary rotation. "a" therefore has the dimensions of a2 and "b" is "ab". Larson only uses the "a" and "b" values to represent magnetic rotations.
The electric rotation is a spinning of the magnetic rotating system, in a single dimension, like spinning a ball.
The system can be visualized like this (the rotating system of a particle; atoms have two of these rotating systems, of the same displacements):
The rotational system that forms the basis of particles and atoms has two, magnetic (2D) rotations and a single electric (1D) rotation.
A magnetic rotation can be visualized as a disk with a radial measure. Larson's two, magnetic rotations form two, interpenetrating disks to produce the two, magnetic rotations that are designated "a" and "b" in the a-b-c notation. Technically, the "a" rotation is a×a and the "b" rotation is a×b, as the second, or subordinate rotation shares a common axis with the primary rotation. "a" therefore has the dimensions of a2 and "b" is "ab". Larson only uses the "a" and "b" values to represent magnetic rotations.
The electric rotation is a spinning of the magnetic rotating system, in a single dimension, like spinning a ball.
The system can be visualized like this (the rotating system of a particle; atoms have two of these rotating systems, of the same displacements):