Vortex electron beam and quantum measurement theory

2016 Fiscal Year Final Research Report

• Project/Area Number: 26400417
• Research Category: Grant-in-Aid for Scientific Research (C)
• Allocation Type: Multi-year Fund
• Section: 一般
• Research Field: Atomic/Molecular/Quantum electronics
• Research Institution: Nagoya University
• Principal Investigator: Tanimura Shogo 名古屋大学, 情報学研究科, 教授 (90273482)
• Project Period (FY): 2014-04-01 – 2017-03-31
• 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

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.

Free Research Field

量子基礎論