Monday 6 March 2023, 16:00 - 17:00 in HG03.085
Masato Wakayama (Tokyo, NTT Institute for Fundamental Mathematics, )
Algebra and geometry for certain quantum interaction models
We focus spectral structure of the quantum Rabi model (QRM) and its asymmetric version (AQRM), which are widely studied as most fundamental models of light-matter interactions, and their covering model. The latter model is called non-commutative harmonic oscillator (NCHO) and has rich but mysterious arithmetic properties. Certain algebraic and geometric problems/conjectures arose from the study of the degeneracy of the spectrum and hidden symmetry for AQRM will be presented.