| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2019: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2018: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2017: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2016: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Outline of Final Research Achievements |
(1) We proved a theorem that identifies the essential spectrum of discrete Laplacian by adding graph perturbation to a periodic graph. (2) We consider a generalized Rabi model, and we proved that the dressed photon appears in the ground state in a deep-strong coupling regime. (3) It is constructed that Schrodinger operators with slowly decaying potential that has a positive energy embedded eigenvalue. (4) Time operators for quantum walks are considered, and various examples are constructed. It is clarified that the relationship between the winding numbers and self-adjoint expansions of a time operator. (5) Algebraic Bogoliubov transformations that diagonalize the Hamiltonian of a pair theory are developed.
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