Unravel the mysteries of the electron by mathematics
Department of Mathematics, Mathematics
Study of many-electron 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, Electron-phonon interacting systems, Quantum electrodynamics, Ferromagnetism, Antiferromagnetism, Topological phases, Phase transitions, Renormaliation group, Operator inequalities, Gauss processes, Operator algebras, Schroedinger operator|
"On the semigroup generated by the renormalized Nelson Hamiltonian", T. Miyao, Journal of Functional Analysis, 276, 1948-1977, (2019)
“Nagaoka’s theorem in the Holstein-Hubbard model”, T. Miyao, Annales Henri Poincar´e, 18, 2849-2871, (2017).
“Retarded van der Waals potential: Revisited”, T. Miyao, H. Spohn, Journal of Mathematical Physics, 50, 072103(2009) (19pages).
“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).