Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra

Motivated by the symmetry in the non-relativistic limit of anti-de Sitter geometry, we employ planar dynamical models featuring exotic (deformed) harmonic oscillators, presented through direct and indirect Lagrangian representations. The latter introduces Bateman dissipative oscillator system. Analy...

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Bibliographic Details
Published in:The European physical journal. C, Particles and fields Particles and fields, 2024-03, Vol.84 (3), p.312-9, Article 312
Main Authors: Pal, Sayan Kumar, Nandi, Partha
Format: Article
Language:English
Subjects:
Algebra
Astronomy
Astrophysics and Cosmology
Deformation
Dissipation
Dynamic models
Elementary Particles
Gravity
Hadrons
Harmonic oscillators
Heavy Ions
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Oscillators
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article - Theoretical Physics
Relativistic effects
Spacetime
String Theory
Symmetry
Theory of relativity
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Summary:Motivated by the symmetry in the non-relativistic limit of anti-de Sitter geometry, we employ planar dynamical models featuring exotic (deformed) harmonic oscillators, presented through direct and indirect Lagrangian representations. The latter introduces Bateman dissipative oscillator system. Analyzing these dynamic systems with a first-order Lagrangian scheme, our phase-space-based approach utilizes the moment map components to reveal the underlying symmetry algebra. This obtained algebra, interpreted as an extended version of Newton–Hooke (NH) cosmological symmetry algebras, has the potential to cast an augmented non-relativistic shadow over the expanding universe, offering an insightful perspective on extended NH spacetime in 2+1 dimensions through our dynamical realizations.
ISSN:1434-6052
1434-6044
1434-6052
DOI:10.1140/epjc/s10052-024-12662-4