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