Wednesday 15 July 2020

angular momentum - Mathematical reference about spin



I am looking for a reference about a mathematical rigourous treatment of spin. I do not know if what I'm looking for actually exists, so let me get into details.


More precisely, I would like an exposition of spin starting from assumptions, or axioms (for example, of experimental nature) for the behavior of spin (not just $\frac{1}{2}$, but any $m \in \frac{1}{2}\mathbb{N}$) and then a detailed presentation of the model (observables and symmetries) and, if possible (and true), a proof that the model is unique (I am sure that this problem can be formulated as a problem of isomorphism of $SU(2,\mathbb{C})$ representations).


In other words, I would like to find something like this: "in such and such experiments, such thing is supposed to behave like that; we can model it by such Pauli matrices; Theorem: Any such representation is of the form this and this.".




No comments:

Post a Comment

Understanding Stagnation point in pitot fluid

What is stagnation point in fluid mechanics. At the open end of the pitot tube the velocity of the fluid becomes zero.But that should result...