| 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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| 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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