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Feynman–Vernon influence functional approach for the damped driven oscillator in RLC circuit

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Abstract

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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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: This manuscript has been deposited in Research Square platform https://doi.org/10.21203/rs.3.rs-2288672/v1, title: ‘Feynman–Vernon influence functional approach for the damped driven oscillator in RLC circuit’.]

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Acknowledgements

This work was partially supported by National Council for Scientific and Technological Development (CNPq) Brazil.

Funding

Funding was provided by Conselho Nacional de Desenvolvimento Científico e Tecnológico (Grant No. 2449726168487062). Foundation for Research Support of the State of Minas Gerais (FAPEMIG).

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Authors and Affiliations

  1. Department of Physics, Federal Center for Technological Education of Minas Gerais, Belo Horizonte, MG, 30510-000, Brazil

    Leonardo S. Lima & L. G. de Almeida Arruda

  2. Federal Education Center for Technological Education of Minas Gerais, Belo Horizonte, MG, 30510-000, Brazil

    Leonardo S. Lima & L. G. de Almeida Arruda

Authors
  1. Leonardo S. Lima
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  2. L. G. de Almeida Arruda
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All the authors contributed to this manuscript. Leonardo S. Lima has written the paper and performed the formal analysis.

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Correspondence to Leonardo S. Lima.

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Lima, L.S., Almeida Arruda, L.G.d. Feynman–Vernon influence functional approach for the damped driven oscillator in RLC circuit. Eur. Phys. J. Plus 138, 284 (2023). https://doi.org/10.1140/epjp/s13360-023-03846-0

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