Leseprobe
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Angular Momentum in Quantum Mechanics
A. R. Edmonds
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Naturwissenschaften, Medizin, Informatik, Technik / Naturwissenschaften allgemein
Beschreibung
This book offers a concise introduction to the angular momentum, one of the most fundamental quantities in all of quantum mechanics. Beginning with the quantization of angular momentum, spin angular momentum, and the orbital angular momentum, the author goes on to discuss the Clebsch-Gordan coefficients for a two-component system. After developing the necessary mathematics, specifically spherical tensors and tensor operators, the author then investigates the 3-j, 6-j, and 9-j symbols. Throughout, the author provides practical applications to atomic, molecular, and nuclear physics. These include partial-wave expansions, the emission and absorption of particles, the proton and electron quadrupole moment, matrix element calculation in practice, and the properties of the symmetrical top molecule.
Kundenbewertungen
Equations of motion, Hermitian matrix, Neutrino, Vector field, Classical mechanics, Coordinate space, Orthogonal transformation, Operator (physics), Coefficient, 3-j symbol, Oscillation, Euclidean vector, Linear map, Dimension, Symmetrization, Angular momentum, Tensor, Invertible matrix, Magnetic quantum number, Special unitary group, Unitary transformation, Spinor, Unitary matrix, Euler angles, Tensor operator, Vector space, Permutation group, Quantity, Quantum mechanics, Spin representation, Degeneracy (mathematics), Rotational symmetry, Displacement operator, 9-j symbol, Symmetric tensor, Infinitesimal transformation, Spinor field, Probability distribution, Three-dimensional space (mathematics), Vector operator, Antisymmetric tensor, Eigenvalues and eigenvectors, Configuration space, Permutation, Atomic spectroscopy, Cross section (physics), Proportionality (mathematics), Vector spherical harmonics, Two-dimensional space, Differential operator, Symmetry group, Wave function, Cartesian coordinate system, Spectroscopy, Matrix mechanics, Point particle, Asymptotic expansion, Scalar (physics), Angular momentum operator, Azimuthal quantum number, Cartesian tensor, Expectation value (quantum mechanics), Spin matrix, Momentum, Planck constant, Scalar field, Transformation matrix, Identity matrix, Good quantum number, Rotation matrix