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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 …
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 …
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{ …
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 …