4 papers
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…
A Descriptor Surrogate for Kerr Shadow Contours
Arseny Pantsialei
We consider the Kerr black hole shadow contour as a geometric object whose essential shape can be captured by a small set of physically transparent descriptors. Starting from exact…
Torsion Induced Asymmetric Luttinger Liquids
Arseny Pantsialei, Nicholas Sedlmayr
We consider a general model of a Luttinger liquid with broken parity and time reversal symmetry, but with their composite symmetry intact. Such a scenario can be due to a combinati…
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…