Equivalence between classical and quantum dynamics. Neutral kaons and electric circuits

Journal Article · Sat Oct 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.05.004· OSTI ID:21583289

Caruso, M; Fanchiotti, H; Canal, C.A. Garcia

An equivalence between the Schroedinger 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 {epsilon} parameter that measures CP violation in the kaon system is completely determined in terms of network parameters. - Highlights: > We provide a formal equivalence between classical and quantum dynamics. > We make use of the decomplexification concept. > Neutral kaon systems can be represented by electric circuits. > CP symmetry violation can be taken into account by non-reciprocity. > Non-reciprocity is represented by gyrators.

• OSTI ID: 21583289
• Journal Information: Annals of Physics (New York), Vol. 326, Issue 10; Other Information: DOI: 10.1016/j.aop.2011.05.004; PII: S0003-4916(11)00092-3; Copyright (c) 2011 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CP INVARIANCE
HAMILTONIANS
KAONS NEUTRAL
MATRIX ELEMENTS
QUANTUM MECHANICS
BOSONS
ELEMENTARY PARTICLES
HADRONS
INVARIANCE PRINCIPLES
KAONS
MATHEMATICAL OPERATORS
MECHANICS
MESONS
PSEUDOSCALAR MESONS
QUANTUM OPERATORS
STRANGE MESONS
STRANGE PARTICLES