Angular Momentum in Quantum Mechanics (eBook)

A. R. Edmonds (Autor)

eBook Download: PDF

2016
160 Seiten
Princeton University Press (Verlag)
978-1-4008-8418-6 (ISBN)

Infos

EdmondsA. R.:

A. R. Edmonds was known for his work in theoretical physics first in England and later in the CERN Theoretical Study Division in Copenhagen.A. R. Edmonds was known for his work in theoretical physics first in England and later in the CERN Theoretical Study Division in Copenhagen.

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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.

Produkt-Details

• Erscheint lt. Verlag: 10.8.2016
• Reihe/Serie: Investigations in Physics
• Reihe/Serie: Investigations in Physics
• Reihe/Serie: Princeton Landmarks in Mathematics and Physics
• Reihe/Serie: Princeton Landmarks in Mathematics and Physics
• Zusatzinfo: 9 figures, 6 tables
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Atom- / Kern- / Molekularphysik
• Themenwelt: Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
• Schlagworte: 3-j symbol • 6-j symbol • 9-j symbol • Angular momentum • Angular momentum operator • antisymmetric tensor • asymptotic expansion • atomic spectroscopy • Axiom • Azimuthal quantum number • Cartesian coordinate system • Cartesian tensor • Circular Orbit • classical mechanics • coefficient • Complex conjugate • complex number • Configuration space • Coordinate space • coordinate system • Cross section (physics) • Degeneracy (mathematics) • Differential operator • Dimension • Displacement operator • Eigenvalues and Eigenvectors • Electric Field • emission spectrum • Equation • Equations of motion • Euclidean Vector • Euler angles • Expectation value (quantum mechanics) • Gamma ray • Good quantum number • Hermitian matrix • hydrogen atom • hyperfine structure • Identity matrix • Infinitesimal transformation • Invertible matrix • Laplace's equation • Linear map • Magnetic quantum number • Massive particle • Mathematical Analysis • Matrix Mechanics • matrix multiplication • Measurement Uncertainty • Mixed tensor • Momentum • Neutrino • nuclear reaction • Operator (physics) • orthogonal group • orthogonality • orthogonal matrix • Orthogonal transformation • Oscillation • Pauli matrices • Permutation • permutation group • Planck constant • Point particle • Poisson Bracket • Probability Distribution • Proportionality (mathematics) • Quantity • quantum mechanics • Ring (mathematics) • Rotational Symmetry • Rotation Matrix • Scalar Field • Scalar (physics) • Special Unitary Group • spectroscopy • Sphere • Spherical Coordinate System • Spin matrix • Spinor • Spinor field • Spin representation • Symmetric tensor • symmetrization • Symmetry group • Tensor • Tensor operator • theory • Three-dimensional space (mathematics) • transformation matrix • two-dimensional space • Unitary Group • Unitary matrix • unitary transformation • Unit vector • Vector field • Vector operator • Vector Space • Vector spherical harmonics • wave function
• ISBN-10: 1-4008-8418-7 / 1400884187
• ISBN-13: 978-1-4008-8418-6 / 9781400884186