Abstract
In many applications of atomic and nuclear physics, states of particles in central potentials are examined. Angular momentum is a conserved quantity in central potentials, i.e. its eigenvalues can be used to classify the states. Due to this significance of angular momentum in the applications of quantum mechanics, in this chapter we study once again the angular momentum operators and their eigenfunctions. Furthermore, the commutation relations of the angular momentum operators represent the Lie algebra of SO(3).
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Biographical Notes
CLEBSCH, Rudolf Friedrich Alfred, mathematician, * Königsberg 19. 1.1833, t Göttingen 7.11.1872, professor in Karlsruhe, Giessen and Göttingen. He worked on mathematical physics, variational calculus, partial differential equations, the theory of curves and surfaces, applications of abelian functions in geometry, surface mappings and the theory of invariants. Together with C. Neumann, C. founded the journal Mathematische Annalen in 1868.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1989 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Greiner, W., Müller, B. (1989). Angular Momentum Algebra Representation of Angular Momentum Operators — Generators of SO(3) —. In: Quantum Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-00902-4_2
Download citation
DOI: https://doi.org/10.1007/978-3-662-00902-4_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-19201-5
Online ISBN: 978-3-662-00902-4
eBook Packages: Springer Book Archive