An optimal semiclassical bound on commutators of spectral projections with position and momentum operators |
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Authors: | Fournais Søren Mikkelsen Søren |
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Institution: | 1.Department of Mathematics, Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark ;2.School of Mathematics, University of Bristol, Bristol, BS8 1UG, UK ; |
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Abstract: | Letters in Mathematical Physics - We prove an optimal semiclassical bound on the trace norm of the following commutators $${\varvec{1}}_{(-\infty ,0]}(H_\hbar ),x]$$ , $${\varvec{1}}_{(-\infty... |
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