| Budget Amount *help |
¥5,070,000 (Direct Cost: ¥3,900,000、Indirect Cost: ¥1,170,000)
Fiscal Year 2014: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2013: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
(1) A new asymptotic perturbation theory is constructed for a class of linear operators on a Hilbert space and applied to a model of mass-less quantum fields.
As a result, it is shown that the ground state energy of the model has an asymptotic expansion in the coupling constant up to any finite order. (2) A spectral analysis is made on a class of infinite dimensional Dirac operators Q on the abstract boson-fermion Fock space. In particular, it is shown that Q has non-zero eigenvalues in a strong coupling region independently of whether or not the unperturbed part of Q has a non-zero eigenvalue. (3) Functional integral representations are derived for a general class of boson-fermion systems with application to statistical mechanics.
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