Reverse Physics (Live): more work on unitary evolution

[@kingplunger1]

Is what you referred to as "anti-self-adjoint" maybe "anti-Hermitian" or is there a difference ?

[@AssumptionsofPhysicsResearch]

Ah, that's why I was confused... So, yes, anti-Hermitian. The issue is that self-adjoint is not necessarily Hermitian. There are some spaces where the two are distinct. So I switched to using self-adjoint, and then got confused because anti-self-adjoint I don't think is a thing!!! 🤣🤣🤣

[@kingplunger1]

​@AssumptionsofPhysicsResearch I was just going through a mathematical preliminary chapter for QM, specifically on operators, while having the stream in the background. There was no distinction being made, though, and after looking up why it is not the same, I am a little confused 😅 I am pretty new to QM, if it wasn't obvious already.

[@AssumptionsofPhysicsResearch]

@@kingplunger1 Yeah, you won't find the distinction in most books. Briefly, self-adjoint means T = T^\dagger. Hermitian, =. Hermitian implies self-adjoint but not vice-versa. They are the same in finite dimensions. I am not even clear as to whether the distinction is physically significant and how.