https://doi.org/10.1140/epjp/s13360-023-03846-0
Regular Article
Feynman–Vernon influence functional approach for the damped driven oscillator in RLC circuit
1
Department of Physics, Federal Center for Technological Education of Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil
2
Federal Education Center for Technological Education of Minas Gerais, 30510-000, Belo Horizonte, MG, Brazil
Received:
8
December
2022
Accepted:
25
February
2023
Published online:
27
March
2023
The Feynman–Vernon influence functional formalism which is adequate for the study of dissipative dynamics is used to describe weakly coupled circuits. The classical behavior of the system formed by a resistance, electric and magnetic polarizations is characterized by the influence functional approach whose behavior, although linear in some sense, is not representable by systems of perfect oscillators. In addition, linear combinations of complex q-exponentials are used in representation of nonlinear circuits in which the solution of the correspondent nonlinear differentials equations is mapped in modified differentials equations for a new deformed variable.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
