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Elements of Quantum Mechanics
Angular Momentum Operator
56 other sections not shown
absorption amplitude angle angular momentum angular velocity applied assume axis calculate chemical shift coefficients coil commute complex numbers components Consider constant coordinate system cos2 denote density matrix density operator depends described diagonal dipolar interaction dynamical quantities eigenfunctions eigenvalues electron energy levels example exp i a exponential expressed follows Fourier transformation function f given gyromagnetic ratio Hamiltonian Hermitian induction integral isochromats J-coupling known linear combination liquids magnetic field magnetic field B0 magnetic moments measurement molecule motion multiplying nuclear magnetic resonance nuclei obtain operator G orthonormal oscillating perturbation phase precession probability of transition protons pulse quantum mechanics random function result rotating frame sample scalar Section signal solution spectra spectrum spin quantum spin quantum number spin temperature spin-spin spin-spin relaxation Substituting theorem theory thermodynamic equilibrium time-dependent vector voltage wavefunction zero