Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems
Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and allow for converting an undriven physical system into a driven one. This is a novel phenomenon in dynamic...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2020-09-01
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| Series: | Physics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2624-8174/2/3/24 |
| _version_ | 1797554211427188736 |
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| author | Zdzislaw E. Musielak Lesley C. Vestal Bao D. Tran Timothy B. Watson |
| author_facet | Zdzislaw E. Musielak Lesley C. Vestal Bao D. Tran Timothy B. Watson |
| author_sort | Zdzislaw E. Musielak |
| collection | DOAJ |
| description | Novel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and allow for converting an undriven physical system into a driven one. This is a novel phenomenon in dynamics that resembles the role of gauges in quantum field theories. |
| first_indexed | 2024-03-10T16:28:43Z |
| format | Article |
| id | doaj.art-7bf12d5314c8420491be5f61c09d5dad |
| institution | Directory Open Access Journal |
| issn | 2624-8174 |
| language | English |
| last_indexed | 2024-03-10T16:28:43Z |
| publishDate | 2020-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Physics |
| spelling | doaj.art-7bf12d5314c8420491be5f61c09d5dad2023-11-20T13:03:42ZengMDPI AGPhysics2624-81742020-09-012342543510.3390/physics2030024Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical SystemsZdzislaw E. Musielak0Lesley C. Vestal1Bao D. Tran2Timothy B. Watson3Department of Physics, University of Texas at Arlington, Arlington, TX 76019, USADepartment of Physics, University of Texas at Arlington, Arlington, TX 76019, USADepartment of Physics, University of Texas at Arlington, Arlington, TX 76019, USADepartment of Physics, University of Texas at Arlington, Arlington, TX 76019, USANovel gauge functions are introduced to non-relativistic classical mechanics and used to define forces. The obtained results show that the gauge functions directly affect the energy function and allow for converting an undriven physical system into a driven one. This is a novel phenomenon in dynamics that resembles the role of gauges in quantum field theories.https://www.mdpi.com/2624-8174/2/3/24Lagrangian formalismnull Lagrangiansgauge functionsforcesclassical mechanics |
| spellingShingle | Zdzislaw E. Musielak Lesley C. Vestal Bao D. Tran Timothy B. Watson Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems Physics Lagrangian formalism null Lagrangians gauge functions forces classical mechanics |
| title | Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems |
| title_full | Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems |
| title_fullStr | Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems |
| title_full_unstemmed | Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems |
| title_short | Gauge Functions in Classical Mechanics: From Undriven to Driven Dynamical Systems |
| title_sort | gauge functions in classical mechanics from undriven to driven dynamical systems |
| topic | Lagrangian formalism null Lagrangians gauge functions forces classical mechanics |
| url | https://www.mdpi.com/2624-8174/2/3/24 |
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