MIYAO Tadahiro Professor

Analysis

Organization
Department of Mathematics
Research Interest
Mathematical physics, Functional analysis, Condensed matter physics
Keywords
Condensed matter physics, Operator inequality, Quantum field theory, Self-dual cone, Spectral analysis, Statistical physics

Research Activities

I am trying to clarify various mathematical structures behind physical phenomena in the condensed matter physics by applying and cultivating methods of functional analysis.

Papers:

  • T. Miyao, Ground state properties of the SSH model,
    Journal of Statistical Physics, 149, 519-550, (2012).
  • T. Miyao and H. Spohn, Spectral analysis of the semi-relativistic
    Pauli-Fierz hamiltonian,
    Journal of Functional Analysis, 256, 2123-2156, (2009).
  • M. Loss, T. Miyao and H. Spohn, Lowest energy states in
    nonrelativistic QED: atoms and ions in motion,
    Journal of Functional Analysis, 34, 689-717, (2007).

WebPage

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

contact

miyao(at)math.sci.hokudai.ac.jp