ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL
For both classical and quantum elements of the system, parabolic and semiparabolic nature paths have been examined and analyzed. We use the most powerful semi-analytical techniques, namely the optimal and modified homotopy perturbation approach, to examine the dynamics of the particle motion with st...
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Institute of Mechanics of Continua and Mathematical Sciences
2025-06-01
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| Series: | Journal of Mechanics of Continua and Mathematical Sciences |
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| author | Rabab Jarrar Tapas Roy B. Rath Prachi Prava Mohapatra Dilip K Maiti Jihad Asad |
| author_facet | Rabab Jarrar Tapas Roy B. Rath Prachi Prava Mohapatra Dilip K Maiti Jihad Asad |
| author_sort | Rabab Jarrar |
| collection | DOAJ |
| description | For both classical and quantum elements of the system, parabolic and semiparabolic nature paths have been examined and analyzed. We use the most powerful semi-analytical techniques, namely the optimal and modified homotopy perturbation approach, to examine the dynamics of the particle motion with stability analysis. It is demonstrated that the particle's motion on a rotating parabolic path is precisely harmonic oscillator motion with mass depending on location. We find the exact analytical expression for the motion's frequency and amplitude. We then discuss the dependencies of amplitude and frequency on specific parameters and compare the accuracy of the analytical solutions to numerical simulations. We explore the effectiveness of analytical methodologies in solving the complex nature of particle motion and their significance to scientific and technical research. |
| format | Article |
| id | doaj-art-02c1f0f110d0425eabfaaaea4a4a366c |
| institution | DOAJ |
| issn | 0973-8975 2454-7190 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | Institute of Mechanics of Continua and Mathematical Sciences |
| record_format | Article |
| series | Journal of Mechanics of Continua and Mathematical Sciences |
| spelling | doaj-art-02c1f0f110d0425eabfaaaea4a4a366c2025-08-20T02:39:58ZengInstitute of Mechanics of Continua and Mathematical SciencesJournal of Mechanics of Continua and Mathematical Sciences0973-89752454-71902025-06-0120620722410.26782/jmcms.2025.06.00013ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICALRabab Jarrar0Tapas Roy1B. Rath2Prachi Prava Mohapatra3Dilip K Maiti4Jihad Asad5Department of Physics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm P 305, Palestine.Department of Applied Mathematics, Vidyasagar University, Midnapur 721102, West Bengal, India.Department of Physics, Maharaja Sriram Chandra Bhanja Deo University Baripada-757003, Odisha, India.N. C. Autonomous College, Jajpur -755001, Odisha, India.Department of Applied Mathematics, Vidyasagar University, Midnapur 721102, West Bengal, India.Department of Physics, Faculty of Applied Sciences, Palestine Technical University- Kadoorie, Tulkarm P 305, Palestine.For both classical and quantum elements of the system, parabolic and semiparabolic nature paths have been examined and analyzed. We use the most powerful semi-analytical techniques, namely the optimal and modified homotopy perturbation approach, to examine the dynamics of the particle motion with stability analysis. It is demonstrated that the particle's motion on a rotating parabolic path is precisely harmonic oscillator motion with mass depending on location. We find the exact analytical expression for the motion's frequency and amplitude. We then discuss the dependencies of amplitude and frequency on specific parameters and compare the accuracy of the analytical solutions to numerical simulations. We explore the effectiveness of analytical methodologies in solving the complex nature of particle motion and their significance to scientific and technical research.https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/16074734/jmcms-2506037-Origin-of-Position-Dependent-Mass-Jihad.pdfanalytical solutionharmonic oscillatorparabolicparticle motionsemi-parabolicseries solution. |
| spellingShingle | Rabab Jarrar Tapas Roy B. Rath Prachi Prava Mohapatra Dilip K Maiti Jihad Asad ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL Journal of Mechanics of Continua and Mathematical Sciences analytical solution harmonic oscillator parabolic particle motion semi-parabolic series solution. |
| title | ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL |
| title_full | ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL |
| title_fullStr | ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL |
| title_full_unstemmed | ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL |
| title_short | ORIGIN OF POSITION DEPENDENT MASS IN A ROTATING PARABOLIC OR SEMI-PARABOLIC PATH: CLASSICAL AND SEMI-CLASSICAL |
| title_sort | origin of position dependent mass in a rotating parabolic or semi parabolic path classical and semi classical |
| topic | analytical solution harmonic oscillator parabolic particle motion semi-parabolic series solution. |
| url | https://jmcms.s3.amazonaws.com/wp-content/uploads/2025/06/16074734/jmcms-2506037-Origin-of-Position-Dependent-Mass-Jihad.pdf |
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