Angular Momentum, Spin and Particle Categories
By 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. From the Stern–Gerlach experiment the existence of the spin as a further degree of freedom of a particle is concluded. From the discussion of a 2-spin gedanken experiment, the different symmetries of fermion and boson wave functions are derived. Consequences with respect to quantum statistics are treated and the importance for the standard model of elementary particle physics, the periodic table of elements and quantum dots and quantum rings in nanoelectronics is shown.
KeywordsWave Function Angular Momentum Quantum Number Hamilton Operator Principal Quantum Number
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