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quant-ph2026
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 $…
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…