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Author Fanchiotti, H.; Garcia Canal, C.A.; Mayosky, M.; Veiga, A.; Vento, V.
Title The Geometric Phase in Classical Systems and in the Equivalent Quantum Hermitian and Non-Hermitian PT-Symmetric Systems Type Journal Article
Year 2023 Publication Brazilian Journal of Physics Abbreviated Journal Braz. J. Phys.
Volume 53 Issue 6 Pages 143 - 11pp
Keywords Geometrical phases; Decomplexification; Resonat circuit; Gyrator
Abstract The decomplexification procedure allows one to show mathematically (stricto sensu) the equivalence (isomorphism) between the quantum dynamics of a system with a finite number of basis states and a classical dynamics system. This unique way of connecting different dynamics was used in the past to analyze the relationship between the well-known geometric phase present in the quantum evolution discovered by Berry and its generalizations, with their analogs, the Hannay phases, in the classical domain. In here, this analysis is carried out for several quantum hermitian and non-hermitian PT-symmetric Hamiltonians and compared with the Hannay phase analysis in their classical isomorphic equivalent systems. As the equivalence ends in the classical domain with oscillator dynamics, we exploit the analogy to propose resonant electric circuits coupled with a gyrator, to reproduce the geometric phase coming from the theoretical solutions, in simulated laboratory experiments.
Address [Fanchiotti, H.; Canal, C. A. Garcia] Univ Nacl La Plata, FLP CONICET, RA-1900 La Plata, Argentina, Email: vicente.vento@uv.es
Corporate Author Thesis
Publisher Springer Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 0103-9733 ISBN Medium
Area Expedition Conference
Notes WOS:001058597300001 Approved no
Is ISI yes International Collaboration yes
Call Number IFIC @ pastor @ Serial 5627
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Author Vento, V.
Title Ions, Protons, and Photons as Signatures of Monopoles Type Journal Article
Year 2018 Publication Universe Abbreviated Journal Universe
Volume 4 Issue 11 Pages 117 - 12pp
Keywords
Abstract Magnetic monopoles have been a subject of interest since Dirac established the relationship between the existence of monopoles and charge quantization. The Dirac quantization condition bestows the monopole with a huge magnetic charge. The aim of this study was to determine whether this huge magnetic charge allows monopoles to be detected by the scattering of charged ions and protons on matter where they might be bound. We also analyze if this charge favors monopolium (monopole-antimonopole) annihilation into many photons over two photon decays.
Address [Vento, Vicente] Univ Valencia, CSIC, IFIC, Dept Fis Teor, E-46100 Burjassot, Valencia, Spain, Email: vicente.vento@uv.es
Corporate Author Thesis
Publisher Mdpi Place of Publication Editor
Language English Summary Language Original Title
Series Editor Series Title Abbreviated Series Title
Series Volume Series Issue Edition
ISSN 2218-1997 ISBN Medium
Area Expedition Conference
Notes WOS:000451167700007 Approved no
Is ISI yes International Collaboration no
Call Number IFIC @ pastor @ Serial 3819
Permanent link to this record