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Angular Momentum, Spin and Particle Categories

  • Hans Lüth
Part of the Graduate Texts in Physics book series (GTP)

Abstract

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.

Keywords

Wave Function Angular Momentum Quantum Number Hamilton Operator Principal Quantum Number 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Hans Lüth
    • 1
  1. 1.Forschungszentrum Jülich GmbH, Peter Grünberg Institut (PGI)PGI-9: Semiconductor Nanoelectronics and Jülich Aachen Research Alliance (JARA)JülichGermany

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