MIYAO Tadahiro Professor

Analysis

Organization
Department of Mathematics
Research Interest
Mathematical physics, Functional analysis, Condensed matter physics
Keywords
Spectral analysis, operator algebras, functional integral methods, quantum field theory, quantum statistical mechanics, topological phases of matter

Research Activities

My research seeks to uncover the mathematical structures underlying diverse phenomena in condensed matter physics by employing — and deepening — theoretical frameworks and methods from operator algebras, stochastic analysis, and spectral theory.

Papers:

  • ” Near linearity of the macroscopic Hall current response in infinitely extended gapped fermion systems “, M. Wesle, G. Marcelli, T. Miyao, D. Monaco, S. Teufel, arXiv:2411.06967, to appear in Communications in Mathematical Physics.
  • ” On the semigroup generated by the renormalized Nelson Hamiltonian “, T. Miyao, Journal of Functional Analysis, 276, 1948-1977, (2019).
  • “ Spectral analysis of the semi-relativistic Pauli-Fierz hamiltonian ”, T. Miyao, H. Spohn, Journal of Functional Analysis, 256, 2123-2156, (2009).
  • “ Lowest energy states in nonrelativistic QED: atoms and ions in motion ”, M. Loss, T. Miyao, H. Spohn, Journal of Functional Analysis, 34, 689-717, (2007).

WebPage

https://sites.google.com/view/tadahiromiyaosite/

contact

miyao（at）math.sci.hokudai.ac.jp