Noncommutative geometry is one of the approaches to investigate quantum gravity. We know that it is just an effective theory and would not be so promising to obtain the complete form of quantum gravity. However, it is true that we do not k…

I have been thinking of fuzzy objects in noncommutative geometry. The trigger was the offer to give a seminar at Nagoya university, where I was questioned about our recent progress in the study of noncommutative geometry, in particular its…

The fuzzy disc is a disc-shaped region in a noncommutative plane, and is a fuzzy approximation of a commutative disc. In our paper http://arxiv.org/abs/1206.6602 , we showed that one can introduce a concept of angles to the fuzzy disc, by …

One of the students of my labo and I have been studying the field emission from carbon nanotubes (CNTs). This emission is the current of electrons from a CNT by quantum tunneling. The emission rate is given by the FN formula. We are now th…

専攻科の特別研究（大学の卒業研究にあたる）で学生とカーボンナノチューブからの電界放出現象について調べている。カーボンナノチューブとは、炭素原子がシート状にいくつも繋がった「グラフェン」を筒状に丸めたものである。筒の半径がナノスケール（10の…

I have been thinking about the application of a time-dependent harmonic oscillator. The problem finding time-dependent harmonic oscillator itself is long-standing and fascinating one in many fields, e.g., quantum optics. In the context of …

On the fuzzy disc we are investigating now: Because of truncation to the Heisenberg algebra with finite degrees of freedom, there appear some terms that are not included in the original algebra. How can we re-interpret them in the context …