Is angular momentum only in orbital or spin?

While I am learning Quantum Mechanics with angular momentum and the two types of them:

• orbital angular momentum

• and internal angular momentum a.k.a. spin

• (and total angular momentum, but that is a combined version).

So,

Is there any other types of angular momentum that does not recorded in textbooks or common literature?

PS. I am just talking about angular momentum in general Physics

• Vorticity. Quantum vortices are observed in nuclear physics and in superconductors. – ZeroTheHero Apr 21 '17 at 15:42
• @ZeroTheHero How is that different from orbital angular momentum? – Emilio Pisanty Apr 21 '17 at 15:46
• @EmilioPisanty I'm not too sure what the question means so my comment may not be applicable, but basically it's applicable to non-rigid bodies so it's neither intrinsic spin nor orbital angular momentum. Think of a bucket rotating about its axis: the water in it doesn't need to rotate at the same angular velocity as the bucket. – ZeroTheHero Apr 21 '17 at 15:48
• @ZeroTheHero The vorticity in a superconductor boils down to a phase gradient of the wavefunction of a quantum particle which has a nonzero integral around a line of phase singularity. As such, it fits perfectly as an orbital angular momentum - it's no different than the angular momentum of an electron in a hydrogen atom. In a bucket, each particle has a different angular momentum but each particle still has orbital angular momentum. – Emilio Pisanty Apr 21 '17 at 15:50
• @EmilioPisanty Yeah fair enough. I'm not "attached" to vorticity: I just remember this being treated separately from the other two in nuclear physics. Classically you are certainly right... – ZeroTheHero Apr 21 '17 at 15:53

More generally, there is a meaningful distinction between intrinsic angular momenta $\mathbf L_\mathrm{i}$, which do not change when you displace the origin, and extrinsic angular momenta $\mathbf L_\mathrm{e}$, which transform as $$\mathbf L_\mathrm e\mapsto \mathbf L_\mathrm e'=\mathbf L_e-\mathbf r_0\times\mathbf P$$ when you displace the system as $\mathbf r\mapsto \mathbf r'=\mathbf r-\mathbf r_0$, and where $\mathbf P$ is the total angular momentum of the system. As regards your question, though, they are just descriptors that apply respectively to spin and orbital angular momenta.