| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2014: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
|
|---|
| Outline of Final Research Achievements |
In this research program, we considered the following two mathematical models. (1) We studied some quantum effects mainly for the generalized quantum Rabi model among non-commutative harmonic oscillator models. In particular, in the light of circuit QED, we made operator and spectral analyses for that model, and we mathematically clarified its bound state in the deep-strong coupling regime. Meanwhile, (2) for the model of the two quantum wires with a junction between the two, we clarified how the electron's wave function have a phase factor, and how the electron spin has an effect when the electron as a Dirac particle passes through the junction.
|
