AbstractTime-frequency analysis deals with localized Fourier transforms. Gabor analysis is a branch of time-frequency analysis. It shares with the wavelet transform methods the ability to describe the smoothness of a given function in a location-dependent way.The main tool is the sliding window Fourier transform or short-time Fourier transform (STFT). It describes the correlation of a signal wi...
PrerequisiteHamiltonian mechanics, quantum mechanics. Complex analysis. Lie groups, Lie algebras and root systems, supersymmetry, basics of commutative rings (brief recap will be offered). Symmetric polynomials and related combinatorics. Familiarity with algebraic Bethe Ansatz and construction of transfer matrices.IntroductionA typical feature of quantum integrable models is the possibility to ...