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Fundamental characteristic property of particles which together with orbital angular momentum acts as the generator of rotations and which doesn't have a classical equivalent but is sometimes compared to and contrasted with classical intrinsic angular momentum.

3 votes
1 answer
161 views

Spin Glass Hamiltonian

Why do Edwards and Anderson use the hamiltonian $$ H = \sum_{i,j} J_{ij} \mathbf{s}_i \cdot \mathbf{s}_j $$ to describe the interactions in a spin glass? Naively I would think that from the interactio …
creillyucla's user avatar
1 vote

Is the oxygen molecule $O_2$ fermion or boson?

The rule is simple: A combination of particles is a fermion is it contains an odd number of fermions otherwise it is boson. Since $\text{O}_2$ is two of the same particle (assuming both are the sam …
creillyucla's user avatar
1 vote
1 answer
46 views

Projective representations and reduction of half-integer spin representations under $C_{\inf...

Suppose we have an orthonormal basis of states $|j,m,p\rangle$ where $j=\frac{1}{2},\frac{3}{2},\ldots$ is the angular momentum quantum number associated with some angular momentum operator $\mathbf{ …
creillyucla's user avatar
1 vote

Projective representations and reduction of half-integer spin representations under $C_{\inf...

I have a partial answer to some of the questions posed. First off, by analyzing the characters of the action of group $G \equiv \{R^z_\phi : \phi \in [0,4\pi)\} \cup \{\Sigma^z_\phi : \phi \in [0,4\pi …
creillyucla's user avatar