A proposal to characterize and quantify superoscillations
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866917617478926336 |
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| author | Li, Yu Polo-Gómez, José Martín-Martínez, Eduardo |
| author_facet | Li, Yu Polo-Gómez, José Martín-Martínez, Eduardo |
| contents | We present a formal definition of superoscillating function. We discuss the limitations of previously proposed definitions and illustrate that they do not cover the full gamut of superoscillatory behaviours. We demonstrate the suitability of the new proposal with several examples of well-known superoscillating functions that were not encompassed by previous definitions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_17703 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A proposal to characterize and quantify superoscillations Li, Yu Polo-Gómez, José Martín-Martínez, Eduardo Quantum Physics Mathematical Physics We present a formal definition of superoscillating function. We discuss the limitations of previously proposed definitions and illustrate that they do not cover the full gamut of superoscillatory behaviours. We demonstrate the suitability of the new proposal with several examples of well-known superoscillating functions that were not encompassed by previous definitions. |
| title | A proposal to characterize and quantify superoscillations |
| topic | Quantum Physics Mathematical Physics |
| url | https://arxiv.org/abs/2311.17703 |