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math-ph2026
Localization of quantum systems at Liouville tori
Ood Shabtai
We consider a collection of pairwise commuting quantum observables in the setting of Berezin--Toeplitz quantization of a closed Kähler manifold and assume that the Arnold--Liouvill…
math-ph2021★ 2 cited
On polynomials in spectral projections of spin operators
Ood Shabtai
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 semiclassica…
math-ph2020
Commutators of spectral projections of spin operators
Ood Shabtai
We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to in the semiclassical limit. The…