Analysis and Mathematical Physics

Date:
Mar
01
2024

Analysis and Mathematical Physics

Arithmetic Study Behind Spectra of Quantum Interactions
Masato Wakayama
4:00pm|Simonyi Hall 101 and Remote Access

Interaction models discussed here are the (asymmetric) quantum Rabi model (QRM), which describes the interaction between a photon and two-level atoms, and the non-commutative harmonic oscillator (NCHO). The latter can be considered as a covering...

Mar
08
2024

Analysis and Mathematical Physics

Variations on Fefferman's Ball Multiplier Theorem
2:30pm|Simonyi Hall 101 and Remote Access

What happens to an Lp function when one truncates its Fourier transform to a domain? This question is now rather well understood, thanks to famous results by Marcel Riesz and Charles Fefferman, and the answer depends on the domain: if it is a...