MIYAO Tadahiro
Professor
Unravel the mysteries of the electron by mathematics
Department of Mathematics, Mathematics
Theme  Study of manyelectron systems by means of the operator theory and the theory of operator algebras.

Field  Mathematical physics, Condensed matter physics, Functional analysis 
Keyword  Many electron systems, Quantum spin systems, Electronphonon interacting systems, Quantum electrodynamics, Ferromagnetism, Antiferromagnetism, Topological phases, Phase transitions, Renormaliation group, Operator inequalities, Gauss processes, Operator algebras, Schroedinger operator 
Representative Achievements
"On the semigroup generated by the renormalized Nelson Hamiltonian", T. Miyao, Journal of Functional Analysis, 276, 19481977, (2019)
“Nagaoka’s theorem in the HolsteinHubbard model”, T. Miyao, Annales Henri Poincar´e, 18, 28492871, (2017).
“Retarded van der Waals potential: Revisited”, T. Miyao, H. Spohn, Journal of Mathematical Physics, 50, 072103(2009) (19pages).
“Spectral analysis of the semirelativistic PauliFierz hamiltonian”, T. Miyao, H. Spohn, Journal of Functional Analysis, 256, 21232156, (2009).
“Lowest energy states in nonrelativistic QED: atoms and ions in motion”, M. Loss, T. Miyao, H. Spohn, Journal of Functional Analysis, 34, 689717, (2007).