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2015
Abstract This chapter discusses the case of spin as an internal angular momentum-like degree of freedom. It considers and analyzes the case of spin-1/2 explicitly. It also discusses the coupling of spin to an externally applied magnetic field. Furthermore, it discusses rotations in the spin space.
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Abstract This chapter discusses the case of spin as an internal angular momentum-like degree of freedom. It considers and analyzes the case of spin-1/2 explicitly. It also discusses the coupling of spin to an externally applied magnetic field. Furthermore, it discusses rotations in the spin space.
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Spin and Angular Momentum in General Relativity
Physical Review, 1953In the general theory of relativity, the group of coordinate transformations gives rise to four point-to-point conservation laws, which are usually identified with energy and linear momentum. In the presence of a semiclassical Dirac field, it is convenient to introduce at each point of space-time an arbitrary set of four orthonormal vectors (quadrupeds,
Bergmann, Peter G., Thomson, Robb
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2013
Classically, angular momentum may be thought of as the Hamiltonian generator of rotations (Proposition 2.30). Angular momentum is a particularly useful concept when a system has rotational symmetry, since in that case the angular momentum is a conserved quantity (Proposition 2.18).
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Classically, angular momentum may be thought of as the Hamiltonian generator of rotations (Proposition 2.30). Angular momentum is a particularly useful concept when a system has rotational symmetry, since in that case the angular momentum is a conserved quantity (Proposition 2.18).
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Spin and Orbital Angular Momentum of Photons
Europhysics Letters (EPL), 1994We consider the separation of the total angular momentum of the electromagnetic field into a "spin" and an "orbital" part. Though this separation is normally considered to be unphysical and not observable, we argue that both members in the separation are separately measurable quantities.
S J van Enk, G Nienhuis
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2012
Determine the uncertainty relations between the orbital angular momentum \(\hat L = \left( {{{\hat L}_x},{{\hat L}_y},{{\hat L}_z}} \right)\) and the components of the position and of the momentum operators \(\hat r = \left( {\hat x,\hat y,\hat z} \right),\hat p = \left( {{{\hat p}_x},{{\hat p}_y},{{\hat p}_z}} \right)\).
Michele Cini +2 more
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Determine the uncertainty relations between the orbital angular momentum \(\hat L = \left( {{{\hat L}_x},{{\hat L}_y},{{\hat L}_z}} \right)\) and the components of the position and of the momentum operators \(\hat r = \left( {\hat x,\hat y,\hat z} \right),\hat p = \left( {{{\hat p}_x},{{\hat p}_y},{{\hat p}_z}} \right)\).
Michele Cini +2 more
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2019
In this chapter we put together everything we have studied so far—Mathematica, quantum mechanics, computational bases, units—to study simple quantum systems. We start our explorations of quantum mechanics with the description of angular momentum. The reason for this choice is that, in contrast to the mechanically more intuitive linear motion (Chap. 4),
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In this chapter we put together everything we have studied so far—Mathematica, quantum mechanics, computational bases, units—to study simple quantum systems. We start our explorations of quantum mechanics with the description of angular momentum. The reason for this choice is that, in contrast to the mechanically more intuitive linear motion (Chap. 4),
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Spin and orbital angular momentum
Europhysics Letters (EPL), 2004It is shown that the existence of a charge-neutral, idealized smooth mesoscopic rigid sphere, characterized by eleven properties, implies a relation between spin and orbital angular momentum. In addition to these properties, this correspondence is based on elements of group theory, conservation of angular momentum, and an ansatz which describes the ...
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Angular Momentum, Spin and Particle Categories
2013By use of its commutator algebra, properties of the quantum mechanical angular momentum operator are derived. The action of a magnetic field in the Hamilton operator of a single particle is considered and fundamentals of magnetism and the Aharanov–Bohm effect including experimental examples from nanoelectronics are presented.
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On the spin angular momentum of mesons
Physica, 1939Zusammenfassung Eine allgemeine Definition fu¨r den Spindrehimpuls und die Spin-momentdichte willku¨rlicher Felder wird gegeben. Angewandt auf den Fall des Meson-Feldes ergibt sich fu¨r das Gesamt-Spin moment genau der Ausdruck von Proca; jedoch trifft die Behauptung von Durandin und Erschow, dass der Zeitmittelwert dieses Momentes bei Quantisierung ...
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