Vortex electron beam and quantum measurement theory
| Project/Area Number |
26400417
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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| Section | 一般 |
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| Research Field |
Atomic/Molecular/Quantum electronics
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| Research Institution | Nagoya University |
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Principal Investigator |
Tanimura Shogo 名古屋大学, 情報学研究科, 教授 (90273482)
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| Co-Investigator(Kenkyū-buntansha) |
齋藤 晃 名古屋大学, 未来材料・システム研究所, 教授 (50292280)
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| Project Period (FY) |
2014-04-01 – 2017-03-31
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| Project Status |
Completed (Fiscal Year 2016)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2015: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 不確定性関係 / 相補性 / 軌道角運動量 / フォーク型回折格子 / らせん電子波 / 電子線ホログラフィー / スピン偏極電子 / 時間とエネルギーの不確定性関係 / 圏論 / トポス / 量子基礎論 / ベッセルビーム / スピン偏極 / 電子ビーム / コヒーレンス |
|---|
| Outline of Final Research Achievements |
We formulated mathematically the uncertainty relation of angle and angular momentum. And we generalized it to the uncertainty relation of order parameter and conserved quantity. We asked which type of uncertainty relation is realized in the particle-wave complementarity, and showed that the Kennard-Robertson uncertainty relation causes the complementarity. Moreover, we proposed an experiment using a modified Michelson interferometer to verify our theory.
We transformed the electron plane wave function into the form of the Bessel function by injecting a coherent electron beam through a fine annular slit. By radiating vortex electron beam on a micro cluster of gold, we successfully obtained a diffraction image. We successfully generated also a coherent beam of spin-polarized electrons.
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Report
(4 results)
Research Products
(50 results)
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[Presentation] 量子論とトポス2017
Author(s)
谷村省吾
Organizer
第6回QUATUO研究会
Place of Presentation
高知工科大学 永国寺キャンパス
Year and Date
2017-01-08
Related Report
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[Presentation] 電子らせん波を学ぶ2015
Author(s)
齋藤晃
Organizer
第31回分析電子顕微鏡討論会
Place of Presentation
幕張メッセ国際会議場
Year and Date
2015-09-01
Related Report
Invited
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[Presentation] 電子ボルテックスビームの生成および伝播2014
Author(s)
齋藤晃、長谷川裕也、平川和馬、田中信夫、内田正哉
Organizer
日本顕微鏡学会 第70回学術講演会
Place of Presentation
幕張メッセ国際会議場
Year and Date
2014-05-11 – 2014-05-13
Related Report
Invited
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[Book] 量子の逆説2014
Author(s)
細谷暁夫（編著）、谷村省吾（著）
Total Pages
144
Publisher
日経サイエンス社
Related Report
