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Angular Momentum Coupling Theory

2000
In the last chapter, we calculated (for the special case s = 1/2) the transformation coefficient 〈nlm l sm s ❘nlsjm j 〉 = 〈nlsjm j ❘nlm l sm s 〉* from a basis ❘nlm l sm s 〉 in which L z and S z are diagonal, which was a good basis for the case in which the external B 0 field was the dominant perturbation, to the basis ❘nls j m j 〉, the proper basis in ...
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Orbital angular momentum assisted spin-directional coupling

2017 Conference on Lasers and Electro-Optics Pacific Rim (CLEO-PR), 2017
Spin-directional coupling is associated with the quantum spin-Hall effect of photons, which has attracted much attention over the past few years. Here, we report orbital angular momentum (OAM) assisted spin-directional coupling and its reversal in a silicon nitride (SiN x ) photonic integrated circuit.
Zengkai Shao   +6 more
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Angular Momentum and Coupled States

1992
In working with the orbital angular momentum operator: $$L \equiv r \times p,$$ the major difference between classical and quantum mechanics is that whereas classically the vector product of L with itself is zero, i.e.: $$L \times L = 0,$$ in quantum mechanics $$L \times L = i\hbar L,$$ or the commutator: $$\begin{array}{*{20 ...
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Explicit formulae of angular momentum coupling coefficients

Computer Physics Communications, 1992
Abstract A program has been developed to generate algebraic formulae of the coupling coefficients of angular momenta. The algebraic programming system REDUCE version 3.3 is used for programming. The program consists of several REDUCE prefix operators.
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Angular Momentum Recoupling: Matrix Elements of Coupled Tensor Operators in an Angular Momentum Coupled Basis

2000
In Chapter 33, we evaluated the matrix elements of a vector-coupled spherical tensor of type in terms of the reduced matrix elements of both and in the appropriate angular momentum—coupled basis,
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Angular momentum coupling in simple-fission transition states

The Journal of Physical Chemistry, 1992
An efficient means is deduced for calculating RRKM microscopic reaction rates for simple-fission transition states by using a Hamiltonian consisting of the separate Hamiltonians for each moiety (A and B), hard-sphere interactions between A and B, and symmetric tops connected by a light rigid rod; the reaction coordinate is the breaking bond.
Karas, A.J., Gilbert, R.G.
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Angular momentum coupling in atom-atom collisions

Zeitschrift für Physik D Atoms, Molecules and Clusters, 1986
The coupling between the electronic angular momentum and the rotating atom-atom axis in the initial or the final phase of an atom-atom collision is discussed, making use of the concepts of radial and rotational (Coriolis) coupling between different molecular states.
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Angular Momentum Coupling in Odd-Odd Nuclei

Physical Review, 1957
Some general results are derived for the odd-group model of odd-odd nuclei and used to discuss the validity of the model. (auth)
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Angular momentum coupling in triatomic pre-dissociations

Chemical Physics Letters, 2001
Abstract A quantum theory on angular momentum coupling in pre-dissociation processes of triatomic molecules is presented. The initially prepared state of an asymmetric top is first resolved into state vectors in the recoil frame by an addition theorem of spherical harmonics. Under the influence of an anisotropic, repulsive potential, the evolution of
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Coupling Angular Momentum Vectors and Transformation Theory

1994
Abstract The most important of these operators. is usually the Hamiltonian H of the system or at least the principal part of it, the rest perhaps to be treated as a perturbation later. The other operators then have to be chosen to commute with H. The need for the present chapter arises because there are often two or more ways of choosing
D M Brink, G R Satchler
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