Lecture 21: SO(3) versus SU(2)

Turner, A. (2017). Lecture 21: SO(3) versus SU(2): SO(3) versus SU(2). Quantum Theory I.

Type

Web resource

Intellectual base

Web

Year

2017

Link

https://ocw.mit.edu/courses/8-321-quantum-theory-i-fall-2017/d38bbdf1fa238bbb91cbb93fe7078760_MIT8_321F17_lec21.pdf

Cited by

1 citation across 1 artifact.

Domain-specific

• Quantum Rotation Operator
  • MIT's notes state $U(R_1)U(R_2)=U(R_1R_2)$ for the ordinary case and derive both the operator covariance relation and angular-momentum commutators. For half-integer spin, the careful statement uses a linear representation of $SU(2)$, the double cover of $SO(3)$, or equivalently a projective representation of $SO(3)$.

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