Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra
Abstract 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 syst...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-024-12662-4 |
| _version_ | 1797247048001519616 |
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| author | Sayan Kumar Pal Partha Nandi |
| author_facet | Sayan Kumar Pal Partha Nandi |
| author_sort | Sayan Kumar Pal |
| collection | DOAJ |
| description | Abstract 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. |
| first_indexed | 2024-04-24T19:52:29Z |
| format | Article |
| id | doaj.art-1eb81586d5bb4097afc83fac32910cf9 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-04-24T19:52:29Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-1eb81586d5bb4097afc83fac32910cf92024-03-24T12:31:30ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-03-018431910.1140/epjc/s10052-024-12662-4Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebraSayan Kumar Pal0Partha Nandi1Physics and Applied Mathematics Unit, Indian Statistical InstituteDepartment of Physics, University of StellenboschAbstract 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.https://doi.org/10.1140/epjc/s10052-024-12662-4 |
| spellingShingle | Sayan Kumar Pal Partha Nandi Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra European Physical Journal C: Particles and Fields |
| title | Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra |
| title_full | Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra |
| title_fullStr | Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra |
| title_full_unstemmed | Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra |
| title_short | Symmetry harmonization: exploring deformed oscillators and dissipative dynamics through the glass of Newton–Hooke algebra |
| title_sort | symmetry harmonization exploring deformed oscillators and dissipative dynamics through the glass of newton hooke algebra |
| url | https://doi.org/10.1140/epjc/s10052-024-12662-4 |
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