2011/04/11 by M. Caruso, H. Fanchiotti, C. A. Garcı́a Canal +1 · 12 citations
Computer Science · Physics and Astronomy · #Equivalence (formal languages) #Hamiltonian (control theory) #Mathematical physics #Physics #Pure mathematics #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Quantum optics and atomic interactions #Quantum system #Theoretical physics #hep-ph #quant-ph
paper · pdf · doi:10.1016/j.aop.2011.05.004
published in Annals of Physics 326(10), 2717-2736 (Elsevier BV)
arxiv created 2011/04/11 · openalex publication_date 2011/05/28 · arxiv updated 2015/03/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
An equivalence between the \mathrmSchrodinger dynamics of a quantum system with a finite number of basis states and a classical dynamics is presented. The equivalence is an isomorphism that connects in univocal way both dynamical systems. We treat the particular case of neutral kaons and found a class of electric networks uniquely related to the kaon system finding the complete map between the matrix elements of the effective Hamiltonian of kaons and those elements of the classical dynamics of the networks. As a consequence, the relevant ε parameter that measures CP violation in the kaon system is completely determined in terms of network parameters.