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Author |
Fanchiotti, H.; Garcia Canal, C.A.; Mayosky, M.; Veiga, A.; Vento, V. |
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Title |
The Geometric Phase in Classical Systems and in the Equivalent Quantum Hermitian and Non-Hermitian PT-Symmetric Systems |
Type |
Journal Article |
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Year |
2023 |
Publication |
Brazilian Journal of Physics |
Abbreviated Journal |
Braz. J. Phys. |
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Volume |
53 |
Issue |
6 |
Pages |
143 - 11pp |
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Keywords |
Geometrical phases; Decomplexification; Resonat circuit; Gyrator |
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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. |
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Address |
[Fanchiotti, H.; Canal, C. A. Garcia] Univ Nacl La Plata, FLP CONICET, RA-1900 La Plata, Argentina, Email: vicente.vento@uv.es |
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Publisher |
Springer |
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Language |
English |
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ISSN |
0103-9733 |
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Notes |
WOS:001058597300001 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
yes |
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Call Number |
IFIC @ pastor @ |
Serial |
5627 |
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Author |
Vento, V. |
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Title |
Ions, Protons, and Photons as Signatures of Monopoles |
Type |
Journal Article |
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Year |
2018 |
Publication |
Universe |
Abbreviated Journal |
Universe |
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Volume |
4 |
Issue |
11 |
Pages |
117 - 12pp |
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Keywords |
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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. |
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Address |
[Vento, Vicente] Univ Valencia, CSIC, IFIC, Dept Fis Teor, E-46100 Burjassot, Valencia, Spain, Email: vicente.vento@uv.es |
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Corporate Author |
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Publisher |
Mdpi |
Place of Publication |
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Language |
English |
Summary Language |
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Original Title |
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ISSN |
2218-1997 |
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Area |
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Conference |
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Notes |
WOS:000451167700007 |
Approved |
no |
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Is ISI |
yes |
International Collaboration |
no |
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Call Number |
IFIC @ pastor @ |
Serial |
3819 |
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