On polynomials in spectral projections of spin operators

Ood Shabtai*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


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 contrast this limiting behavior with that of the polynomial when evaluated on random pairs of projections. The discrepancy is a consequence of a type of Slepian spectral concentration phenomenon, which we prove in some cases.

Original languageEnglish
Article number119
JournalLetters in Mathematical Physics
Issue number5
StatePublished - Oct 2021


  • Quantization
  • Slepian concentration problem
  • Spectral projections


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