On the tensorial structure of general covariant quantum systems

Autor:	Carral, Gabriel M., Garay, Iñaki, Vidotto, Francesca
Rok vydání:	2023
Předmět:	General Relativity and Quantum Cosmology Physics - History and Philosophy of Physics Quantum Physics
Druh dokumentu:	Working Paper
Popis:	The definition of a quantum system requires a Hilbert space, a way to define the dynamics, and an algebra of observables. The structure of the observable algebra is related to a tensor product decomposition of the Hilbert space and represents the composition of the system by subsystems. It has been remarked that the Hamiltonian may determine this tensor product structure. Here we observe that this fact may lead to questionable consequences in some cases, and does extend to the more general background-independent case, where the Hamiltonian is replaced by a Hamiltonian constraint. These observations reinforces the idea that specifying the observables and the way they interplay with the dynamics, is essential to define a quantum theory. We also reflect on the general role that system decomposition has in the quantum theory. Comment: 14 pages, no figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2312.13374 Zobrazit plný text záznamu View this record from Arxiv