Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2017: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2016: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2015: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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Outline of Final Research Achievements |
(1) An upper bound for the multiplicity of ground state of a class of quantum field models has been derived. (2) Detailed analyses have been done on in-equivalent representations of canonical commutation relations and canonical anti-commutation relations, which have physically important meanings. (3) For a general quantum system, a concept of ultra-weak time-operator has been introduced. Hierarchies of time-operators and their respective physical roles have been considered.
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