dorsal/arxiv
View SchemaUnusual Properties of Superoscillating Particles
| Authors | Achim Kempf, Paulo J. S. G. Ferreira |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305148 |
| URL | https://arxiv.org/abs/quant-ph/0305148 |
| DOI | 10.1088/0305-4470/37/50/009 |
| Journal | J.Phys. A37 (2004) 12067-12076 |
Abstract
It has been found that functions can oscillate locally much faster than their Fourier transform would suggest is possible - a phenomenon called superoscillation. Here, we consider the case of superoscillating wave functions in quantum mechanics. We find that they possess rather unusual properties which raise measurement theoretic, thermodynamic and information theoretic issues. We explicitly determine the wave functions with the most pronounced superoscillations, together with their scaling behavior. We also address the question how superoscillating wave functions could be produced.
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"abstract": "It has been found that functions can oscillate locally much faster than their\nFourier transform would suggest is possible - a phenomenon called\nsuperoscillation. Here, we consider the case of superoscillating wave functions\nin quantum mechanics. We find that they possess rather unusual properties which\nraise measurement theoretic, thermodynamic and information theoretic issues. We\nexplicitly determine the wave functions with the most pronounced\nsuperoscillations, together with their scaling behavior. We also address the\nquestion how superoscillating wave functions could be produced.",
"arxiv_id": "quant-ph/0305148",
"authors": [
"Achim Kempf",
"Paulo J. S. G. Ferreira"
],
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"quant-ph",
"hep-th"
],
"doi": "10.1088/0305-4470/37/50/009",
"journal_ref": "J.Phys. A37 (2004) 12067-12076",
"title": "Unusual Properties of Superoscillating Particles",
"url": "https://arxiv.org/abs/quant-ph/0305148"
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