1 citations · 1 across the 3 of their papers we have counts for
3 papers
Quantum Mechanics on Lie Groups: II. Path Integrals
Mathieu Beauvillain, Blagoje Oblak, Marios Petropoulos
We continue our study of quantum dynamics on a Lie group , initiated in arXiv:2512.19840, by building the path integral that governs transition amplitudes in the Hilbert space $…
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…
Berry Phases in the Bosonization of Nonlinear Edge Modes
Mathieu Beauvillain, Blagoje Oblak, Marios Petropoulos
We consider chiral, generally nonlinear density waves in one dimension, modelling the bosonized edge modes of a two-dimensional fermionic topological insulator. Using the coinciden…