Quantum Theory: A Two-Time Success Story

Quantum Theory: A Two-Time Success Story
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量子理论:两次成功的故事

DOI:
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发表时间:
2014
期刊:
影响因子:
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通讯作者:
J. Tollaksen
J. Tollaksen
中科院分区:
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文献类型:
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作者:
D. Struppa;J. Tollaksen

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超振荡函数比它们最快的傅立叶分量变化得快。在这里,它们被用来给出另一种描述和明确的配方,用于创建具有超增益的端射阵列,即辐射方向图集中在任意窄角范围和任意形式的天线。两个例子是由正弦函数和高斯函数描述的辐射模式。[编者注:2012年,Berry教授在查普曼大学(Chapman University)举行的Aharonov-80会议上的演讲视频(题为“弱价值概率”),请参见quantum.chapman.edu/talk-6.]——献给亚基尔·阿哈罗诺夫80岁生日:仍然快速、深刻、微妙。
Superoscillatory functions vary faster than their fastest Fourier component. Here they are employed to give an alternative description and explicit recipe for creating endfire arrays with supergain, that is antennas with radiation patterns concentrated in an arbitrarily narrow angular range and of arbitrary form. Two examples are radiation patterns described by sinc and Gaussian functions. [Editor’s note: for a video of the talk given by Prof. Berry (titled ‘Weak Value Probabilities’) at the Aharonov-80 conference in 2012 at Chapman University, see quantum.chapman.edu/talk-6.] Dedicated to Yakir Aharonov on his 80th birthday: still quick, still deep, still subtle.