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quant-ph2026
Center-of-Mass Bounds and Harmonic Extremality
Arseny Pantsialei
We study the center-of-mass observable in one-dimensional many-body systems with translation-invariant interactions and extend the harmonic-rigidity mechanism from the one-body set…
quant-ph2025
Harmonic rigidity at fixed spectral gap in one dimension
Arseny Pantsialei
We solve the static isoperimetric problem underlying the Mandelstam-Tamm bound. Among one-dimensional confining potentials with a fixed spectral gap, we prove that the harmonic tra…