Browsing Mathematics by Title
Now showing items 1085-1104 of 1463
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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 ... -
Quantum gravity and Riemannian geometry on the fuzzy sphere
(Springer (part of Springer Nature), 2021) -
Quantum gravity on a square graph
(2019-12-19) -
Quantum gravity on finite spacetimes and dynamical mass
(2022-11-23)We review quantum gravity model building using the new formalism of 'quantum Riemannian geometry' to construct this on finite discrete spaces and on fuzzy ones such as matrix algebras. The formalism starts with a 'differential ... -
Quantum Jet Bundles
(2022-02-07) -
Quantum Kaluza-Klein theory with $M_2(\mathbb{C})$
(2023-03-10) -
Quantum Kaluza-Klein theory with M <inf>2</inf>(ℂ)
(Springer Nature, 2023-09-01)Following steps analogous to classical Kaluza-Klein theory, we solve for the quantum Riemannian geometry on C∞(M) ⊗ M 2(ℂ) in terms of classical Riemannian geometry on a smooth manifold M , a finite quantum geometry on the ... -
Quantum Koszul formula on quantum spacetime
(2018-07) -
The quantum p-spin glass model: a user manual for holographers
(IOP Publishing, 2021-11-01) -
Quantum Riemannian geometry of the discrete interval and q-deformation
(2023-05-01)We solve for quantum Riemannian geometries on the finite lattice interval • - • -⋯- • with n nodes (the Dynkin graph of type An) and find that they are necessarily q-deformed with q = e ı π n + 1 . This comes out of the ... -
Quantum Simulation for High-Energy Physics
(American Physical Society, 2023-05-01) -
Quantum simulation of gauge theory via orbifold lattice
(Springer, 2021-09-06)