Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Trace inequalities are general techniques with many applications in quantum information theory, often replacing the classical functional calculus in noncommutative settings. The physi…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022.
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Let (M, g) be a completely connected n-dimensional Riemannian spin manifold without boundary such that the scalar curvature satisfies Rg ≥ −n(n − 1), and let [math] be an asymptotical…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. The General Equation for Non-Equilibrium Reversible–Irreversible Coupling (GENERIC) provides the structure of mesoscopic multiscale dynamics that guarantees the emergence of equilibri…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Symmetric ordering and Weyl realizations for non-commutative quantum Minkowski spaces are reviewed. Weyl realizations of Lie deformed spaces and corresponding star products, as well a…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. This paper contains a fully geometric formulation of the General Equation for Non-Equilibrium Reversible-Irreversible Coupling (GENERIC). Although GENERIC, which is the sum of Hamilto…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Hitchin [Duke Math. J. 54(1), 91–114 (1987)] introduced a proper morphism from the moduli space of stable G-Higgs bundles [[math] and [math]] over a curve to a vector space of invaria…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. Let K be an algebraic number field. With K, we associate the ring of finite adeles [math]. Following a recent result of Weisbart on diffusions on finite rational adeles [math], we def…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. In this paper, we obtain a moderate deviations principle (MDP) for a class of Langevin dynamic systems with a strong damping and fast Markovian switching. To facilitate our study, fir…
Journal of Mathematical Physics, Volume 63, Issue 12, December 2022. An unusual family of generalized coherent states of the Heisenberg algebra is constructed. It consists of two families of functionals on the Schwartz space. Each of them has the key p…