Rotations, Quaternions, and Double Groups Simon L. Altmann
Publisher: Dover Publications

4), the same rotation of the entire space about a vector is intuitive. Rotations, Quaternions, and Double Groups. Using the quaternion and its 3 × 3 rotation matrix,7,8 any point (x, 0, z) on the 3.46-mm-diameter circle with the ideal ONH can be moved to a new position (x′, y′, z′) in a scanned cubic space: Formula . Language: English Released: 1986. Rotations, quaternions, and double groups. Oxford, UK: Clarendon Press; 1986. 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. Rotations, quaternions, and double groups Simon L. Publisher: Oxford University Press, USA Page Count: 312. Translation taken from Simon L. GO Rotations, quaternions, and double groups. V2 × V1 vector ([ad, bd, bc]) is understood (Fig. In other words, the group of quaternions is isomorphic to the double cover Spin(3) of the rotation group SO(3). Rotations, quaternions, and double groups by Simon L. Note that the quaternions q and −q represent the same rotation. It is no longer the time to polish your gun, you must shoot. Download Rotations, quaternions, and double groups. Altmann, Rotations, Quaternions, and Double Groups, Ch. € Stendhal as quoted by Prosper Mérimée, HB (1850). Quaternions are a simple and powerful tool for handling rotations and double groups.