# Commutators of spectral projections of spin operators

@article{Shabtai2020CommutatorsOS, title={Commutators of spectral projections of spin operators}, author={Ood Shabtai}, journal={arXiv: Mathematical Physics}, year={2020} }

We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to $\frac 1 2$ in the semiclassical limit. The ranges of the projections are spanned by all eigenvectors corresponding to positive eigenvalues. The proof involves the theory of Hankel operators on the Hardy space. A discussion of several analogous results is also included, with an emphasis on the case of finite Heisenberg groups.

## One Citation

### On polynomials in spectral projections of spin operators

- MathematicsLetters in Mathematical Physics
- 2021

We show that the operator norm of an arbitrary bivariate polynomial, evaluated on certain spectral projections of spin operators, converges to the maximal value in the semiclassical limit. We…

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