By Calder M.S., Kempf A.
Strangely, differentiable services may be able to oscillate arbitrarily speedier than theirhighest Fourier part could recommend. The phenomenon is named superoscillation.Recently, a realistic process for calculating superoscillatory services waspresented and it used to be proven that superoscillatory quantum mechanical wave functionsshould show a couple of counter-intuitive actual results. Following up onthis paintings, we the following current extra normal tools which permit the calculation ofsuperoscillatory wave features with custom-designed actual homes. We giveconcrete examples and we end up effects in regards to the limits to superoscillatory behavior.We additionally supply an easy and intuitive new reason for the exponential computationalcost of superoscillations
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Analysis of superoscillatory wave functions by Calder M.S., Kempf A.