| Budget Amount *help |
¥13,390,000 (Direct Cost: ¥10,300,000、Indirect Cost: ¥3,090,000)
Fiscal Year 2014: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2013: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2012: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2011: ¥2,600,000 (Direct Cost: ¥2,000,000、Indirect Cost: ¥600,000)
Fiscal Year 2010: ¥2,990,000 (Direct Cost: ¥2,300,000、Indirect Cost: ¥690,000)
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| Outline of Final Research Achievements |
Small particles like electrons and atoms are described by quantum mechanics and their dynamics is governed by Schrodinger equations which are partial differential equations for complex valued functions. The reporter studied the initial value problem for Schrodinger equations and, he has found very general sufficient conditions on inter-particle and external forces acting on the particles for the equation to generate a unique dynamics of the particles. The wave operators of the scattering theory for the Schrodinger equations, which describe the large time behavior of the particles, play important roles in various other topics of analysis. The reporter simultaneously studied the wave operators and has found various mathematically important properties such as the continuity as mapping from suitable function spaces.
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