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Quantum geodesic flows and curvature
(2022-01-17)
Quantum geodesic flows and curvature
(Springer Nature, 2023)
We study geodesics flows on curved quantum Riemannian geometries using a recent formulation in terms of bimodule connections and completely positive maps. We complete this formalism with a canonical
operation on ...
Quantum geodesic flow on the integer lattice line
(2023-09-26)
Quantum geodesics in quantum mechanics
(2019-12-23)
Quantum geodesic flow on the integer lattice line
(IOP Publishing Ltd, 2023)
We use a recent formalism of quantum geodesics in noncommutative geometry to construct geodesic flow on the infinite chain · · · •-•-•· · ·. We find that noncommutative effects due to the discretisation of the line generically ...
Quantum geodesics in quantum mechanics
(American Institute of Physics, 2024-01-05)
We show that the standard Heisenberg algebra of quantum mechanics admits a noncommutative differential calculus Ω1 depending on the Hamiltonian p2/2m + V(x), and a flat quantum connection ∇ with torsion such that a previous ...