About the Book
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. Pages: 154. Chapters: Quaternion, Angular momentum, Pauli matrices, Spinor, Angular velocity, Rotation operator, Rotation matrix, Laplace-Runge-Lenz vector, Barber's pole, Spherical harmonics, Quaternions and spatial rotation, Euler angles, Rotation representation, Three hares, Plane of rotation, Hexagram, Rigid body, Taijitu, Charts on SO(3), Gimbal lock, Octahedral symmetry, Triskelion, Wigner 3-j symbols, Rotation group, Clebsch-Gordan coefficients, Icosahedral symmetry, Angular momentum coupling, Wigner D-matrix, Solid harmonics, Spin-weighted spherical harmonics, Azimuthal quantum number, Spin quantum number, Axes conventions, Solids with icosahedral symmetry, Tetrahedral symmetry, Rigid body dynamics, 9-j symbol, Spin-1/2, Triquetra, Slerp, Representation theory of the Galilean group, Euler's equations, Racah W-coefficient, Angular momentum operator, Spin magnetic moment, Conversion between quaternions and Euler angles, 6-j symbol, Magnetic quantum number, Magnetic braking, Icosian Calculus, Representation theory of SU(2), Zonal spherical harmonics, Triple spiral, Triplet state, Slater integrals, Intersystem crossing, Generalized quaternion interpolation, Radial function, Rotational invariance, Laplace expansion, Total angular momentum quantum number, Doublet state, Euler-Rodrigues parameters, Singlet state, Spin spherical harmonics, Axial symmetry. Excerpt: In linear algebra, a rotation matrix is a matrix that is used to perform a rotation in Euclidean space. For example the matrix rotates points in the xy-Cartesian plane counterclockwise through an angle about the origin of the Cartesian coordinate system. To perform the rotation using a rotation matrix R, the position of each point must be represented by a column vector v, containing the coordinates of the point. A rotated vector is obtained by using the matrix multiplication R.
