Titlebook: Classical and Quantum Physics; 60 Years Alberto Ibo G. Marmo,David Martín de Diego,Miguel Muñoz Lecand Conference proceedings 2019 Springer

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Research and Technology BuildingsWe present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditions for the existence of solutions of the dynamics and prove that this system is approximately controllable.

凹槽

Research and Technology BuildingsIn this paper we describe in detail the class of linear Poisson-Nijenhuis manifolds. We prove that they are related to Drinfeld’s bialgebras, classical Yang-Baxter equations, and noncommutative Frobenius algebras.

Custodian

Quantum Control at the Boundary,We present a scheme for controlling the state of a quantum system by modifying the boundary conditions. This constitutes an infinite-dimensional control problem. We provide conditions for the existence of solutions of the dynamics and prove that this system is approximately controllable.

choroid

Poisson-Nijenhuis Manifolds, Classical Yang-Baxter Equations, and Frobenius Algebras,In this paper we describe in detail the class of linear Poisson-Nijenhuis manifolds. We prove that they are related to Drinfeld’s bialgebras, classical Yang-Baxter equations, and noncommutative Frobenius algebras.

catagen

,On a New Asymptotic Behaviour of Toeplitz Determinants,recise form of this asymptotic behaviour and support it with analytic and numerical arguments. We believe this is the first time that the intermediate regime is considered, as we were not able to find any reference to it in the literature.

表状态

Application of Lie Systems to Quantum Mechanics: Superposition Rules,ar superposition rules for them depending on a lower (or equal) number of solutions than standard linear ones. As an application, we study .-qubit systems and special attention is paid to the one-qubit case.

沉积物

Gustatory

消毒

https://doi.org/10.1007/3-7643-7672-4for metallic plates with local boundary conditions. However, the proof does not works for non-local boundary conditions, like the Atiyah-Patodi-Singer conditions, due to the appearance of gaps between the bulk and edge states.