 ##  [SO(3) Representation](/so3-representation) 

  ##  [SO(3) Representation](https://quantummech.quantumdictionary.io/so3-representation-0) 

  

 [![Quantum Mechanics Dictionary](/sites/default/files/styles/large/public/2026-01/Quantum%20Mechanics.png.webp?itok=tC_FGCW0)](/topic-specific-dictionaries/modern-physics/quantum-mechanics)

- Modern Physics -

**Quantum Mechanics Dictionary**

 







 

 

 

 



 

 

 

 

Definition

A symmetry concept defining transformations that leave key properties of a quantum system invariant. It governs conserved quantities, degeneracies, and selection rules through the action of generators and representations. It does not imply exact invariance when symmetry-breaking terms or boundary effects are present in the Hamiltonian.