TY - JOUR
T1 - On polynomials in spectral projections of spin operators
AU - Shabtai, Ood
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to Springer Nature B.V.
PY - 2021/10
Y1 - 2021/10
N2 - 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.
AB - 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.
KW - Quantization
KW - Slepian concentration problem
KW - Spectral projections
UR - http://www.scopus.com/inward/record.url?scp=85114891519&partnerID=8YFLogxK
U2 - 10.1007/s11005-021-01448-4
DO - 10.1007/s11005-021-01448-4
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:85114891519
SN - 0377-9017
VL - 111
JO - Letters in Mathematical Physics
JF - Letters in Mathematical Physics
IS - 5
M1 - 119
ER -