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quant-ph2025
Quantum Mechanics on Lie Groups: I. Noncommutative Fourier Transforms
Mathieu Beauvillain, Blagoje Oblak, Marios Petropoulos
Starting from square-integrable wave functions on a Lie group, we build an invertible Fourier transform mapping them on wave functions on the dual of the Lie algebra. This is a gro…
cond-mat.str-el2025
Nonequilibrium Probes of Quantum Geometry in Gapless Systems
Bastien Lapierre, Per Moosavi, Blagoje Oblak
Much of our understanding of gapless quantum matter stems from low-energy descriptions using conformal field theory. This is especially true in 1+1 dimensions, where such theories…