Abstract
We have seen in Section 7.5 that representations of the angular momentum Lie algebra (7.19) are labelled by a quantum number ℓ which can take half-integer or integer values.
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Notes
- 1.
We denote the magnetic quantum number with m ℓ in this chapter because m will denote the mass of a particle.
- 2.
Ultimately, all particles carry representations of the covering group SL(2,ℂ) of the group SO(1,3) of proper orthochronous Lorentz transformations, see Appendices B and H.
- 3.
We will return to the question of assignment of charge and spin to the quasi-particle for relative motion in Chapter 18.
- 4.
G. Racah, Phys. Rev. 62, 438 (1942).
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Dick, R. (2012). Spin and Addition of Angular Momentum Type Operators. In: Advanced Quantum Mechanics. Graduate Texts in Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-8077-9_8
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DOI: https://doi.org/10.1007/978-1-4419-8077-9_8
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