3 papers
quant-ph2025
A purely geometrical Aharonov-Bohm effect
Jean-Pierre Gazeau, Tomoi Koide, Romain Murenzi +1
We present an application of the affine covariant integral quantization (ACIQ) (Adv. Oper. Theory, 5, 2020; Adv. Oper. Theory, 7, 2022) to quantum mechanics on the punctured plane.…
quant-ph2024
Weyl-Heisenberg covariant quantization for the discrete torus
Romain Murenzi, Aidan Zlotak, Jean Pierre Gazeau
Covariant integral quantization is implemented for systems whose phase space is , i.e., for systems moving on the discrete periodic set …
quant-ph2024
Universality of the Weyl-Heisenberg symmetry and its covariant quantisations
Jean-Pierre Gazeau, Célestin Habonimana, Romain Murenzi +1
The Weyl-Heisenberg symmetries originate from translation invariances of various manifolds viewed as phase spaces, e.g. Euclidean plane, semi-discrete cylinder, torus, in the two-d…