Quantum mechanics angular momentum

The components of the quantum mechanical angular momentum operators along the three principal axes are ... 

Any operator J, which satisfies the commutation rule Eq. (7-18), represents quantum mechanical angular momentum. Orbital angular momentum, L, with components explicitly given by Eq. (7-1), is a special example5 of J. 

The proof of the theorem affirming that J8 is a proper quantum mechanical angular momentum involves only an expansion of (Ji + J2) x (Ji + J2) with subsequent use of the commutation rules for Jj and J2, and the fact that Jj and J2 commute because they act in... 

Eigenstates of a crystal, 725 Eigenvalues of quantum mechanical angular momentum, 396 Electrical filter response, 180 Electrical oscillatory circuit, 380 Electric charge operator, total, 542 Electrodynamics, quantum (see Quantum electrodynamics) Electromagnetic field, quantization of, 486, 560... 

Bloch employed what chemists call the semiclassical model, where the motions of the projectile and the target nucleus are treated classically while target electrons obey quantum mechanics. In this model the impact parameter p refers to the target nucleus rather than an electron. In genuine quantum mechanics, angular momentum takes over the role of an impact parameter [9]. 

A basic reason for existence of the above-stated problem is that the parameters cited are linked to quantum-mechanical angular-momentum (spin) operators, for instance via the usual spin-Hamiltonian operator... 

An important property of quantum-mechanical angular momentum is the prediction and demonstration that the Cartesian components thereof do not commute. This property is responsible for the fact that two components, such as and... 

Because the operators 9/S0 are proportional to the quantum mechanical angular momentum operators, the matrix elements Hj (m,m ) are well known (they play an important role in determining the energy levels of a freely rotating asymmetric top). One finds that... 

The micellar structures, lamellar phases, and vesicles formed by fluorinated surfactants and polymers have been investigated by electron spin resonance (ESR) [40-51] (see Section 9.8). Because the micellar systems do not have a net quantum mechanical angular momentum, a paramagnetic probe must be included in the sample (see Section 9.8 for structures of the probes). The use of spin probes is a useful technique for studying micellar systems provided that the probe does not perturb the aggregates being studied. 

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