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

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 approac...

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Bibliographic Details
Published in:European physical journal plus 2023-03, Vol.138 (3), p.284, Article 284
Main Authors: Lima, Leonardo S., Almeida Arruda, L. G. de
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Approximation
Atomic
Calculus
Complex Systems
Condensed Matter Physics
Fourier transforms
Mathematical analysis
Mathematical and Computational Physics
Mathematical functions
Molecular
Nonlinear equations
Optical and Plasma Physics
Oscillators
Phase transitions
Physics
Physics and Astronomy
Regular Article
RLC circuits
Test systems
Theoretical
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Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-023-03846-0