# TLS - pseudospin or spin of $SU(2)$?


- usually, TLS is thought to be a parametrization/representation by PSEUDOspin

- if pseudospin is actual spin, then the particle with such a spin is a fermion

https://en.wikipedia.org/wiki/Spin-1/2
https://physics.stackexchange.com/questions/150590/spin-operators-commutation

##- fixed-in-space spins

[spin operators on different sites commuting](https://users.ox.ac.uk/~phys1116/msm3.pdf)

## a paradox - a spin of a particle knows what statistics of two particles (two-particle wavefunction) can be
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spin is a property of a single particle, q-statistics&indistinguishability is a property of two particles.
Yet the paradox is that property of two particles/statistics is the consequence of the property of one particle
https://en.wikipedia.org/wiki/Quantum_entanglement
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[Gibbs paradox for LEEs in glasses?](https://knowen.org/nodes/29090)
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## http://www.bourbaphy.fr/frohlich.pdf

# Parents

* QSNS - smoking guns - P