Rotations, Quaternions, and Double Groups by Simon L. Altmann

Rotations, Quaternions, and Double Groups



Download Rotations, Quaternions, and Double Groups

Rotations, Quaternions, and Double Groups Simon L. Altmann ebook
Format: pdf
Page: 336
Publisher: Dover Publications
ISBN: 9780486445182


Rotations, quaternions, and double groups. This is not really a question about QM, its about the mathematics and terminology used to describe rotations in the study of the rotation group. Quaternions are a simple and powerful tool for handling rotations and double groups. Publisher: Oxford University Press, USA Page Count: 312. GO Rotations, quaternions, and double groups. Rotations, quaternions, and double groups Simon L. Language: English Released: 1986. S³ is the double cover of the group SO(3,R) of real orthogonal 3×3 matrices of determinant 1 since two unit quaternions correspond to every rotation under the above correspondence. Altmann Publisher: Oxford University Press, USA. In other words, the group of quaternions is isomorphic to the double cover Spin(3) of the rotation group SO(3). Note that the quaternions q and −q represent the same rotation. Rotations, quaternions, and double groups by Simon L. Rotations.quaternions.and.double.groups.pdf. Download Rotations, quaternions, and double groups. Each rotation in 3-dimensional real Euclidean space has two representations as a quaternion: the quaternion group double-covers the rotation group.