| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2013: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Research Abstract |
The spectrum of various quantum systems are analyzed. The main result of this research is the analysis of the quantum system of a charged particle interacting with a quantized radiation field. It is proved that the ionization energy of the system is strictly positive. Moreover, we made a study of the ergodicity and the Liouville's theorem for a quantum dynamics, the uniqueness or crossing property of eigenvalues of the non-commutative harmonic oscillators, spectral analysis of the discrete Schrodinger with rank one perturbation.
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