Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910688767639552 |
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| author | Rosu, H. C. de la Cruz, J. |
| author_facet | Rosu, H. C. de la Cruz, J. |
| contents | The singular parametric oscillators obtained from the one-parameter Darboux deformation/transformation effected upon the classical harmonic oscillator are introduced and discussed in some detail using sin(omega_0 t) and cos(omega_0 t) as seed solutions. The corresponding Ermakov-Lewis integrability problem of these parametric oscillators is also studied. It is shown that the Ermakov-Lewis invariants do not depend on the deformation parameter and are singularity-free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_12084 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator Rosu, H. C. de la Cruz, J. Classical Physics Exactly Solvable and Integrable Systems The singular parametric oscillators obtained from the one-parameter Darboux deformation/transformation effected upon the classical harmonic oscillator are introduced and discussed in some detail using sin(omega_0 t) and cos(omega_0 t) as seed solutions. The corresponding Ermakov-Lewis integrability problem of these parametric oscillators is also studied. It is shown that the Ermakov-Lewis invariants do not depend on the deformation parameter and are singularity-free. |
| title | Singular parametric oscillators from the one-parameter Darboux transformation of the classical harmonic oscillator |
| topic | Classical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2403.12084 |