Geodesic
Commutators of Spectral Projections of Spin Operators
Ood Shabtai1
1School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel
Journal of Lie Theory, Tome 31 (2021) no. 3, pp. 599-624

Voir la notice de l'article provenant de la source Heldermann Verlag

We present a proof that the operator norm of the commutator of certain spectral projections associated with spin operators converges to 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.
Classification : 81S10, 53D50, 47B35, 17B
Mots-clés : Spectral projections, commutators, quantization

Ood Shabtai  1

1 School of Mathematical Sciences, Tel Aviv University, Tel Aviv, Israel 
Ood Shabtai. Commutators of Spectral Projections of Spin Operators. Journal of Lie Theory, Tome 31 (2021) no. 3, pp. 599-624. http://geodesic.mathdoc.fr/item/JOLT_2021_31_3_a0/
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     author = {Ood Shabtai},
     title = {Commutators of {Spectral} {Projections} of {Spin} {Operators}},
     journal = {Journal of Lie Theory},
     pages = {599--624},
     year = {2021},
     volume = {31},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JOLT_2021_31_3_a0/}
}
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