2023/03/27 by T. Curtright, Curtright, T., C. Vignat +1 · 1 citation
Physics and Astronomy · Materials Science · #Theoretical and Computational Physics #Spectroscopy and Quantum Chemical Studies #Material Dynamics and Properties
paper · pdf · doi:10.48550/arxiv.2303.14861
For a non-relativistic scale invariant system in two spatial dimensions, the quantum scattering amplitude f(θ) is given as a dispersion relation, with a simple closed form for \rm Im(f(θ)) as well as the integrated cross-section σ∝ \rm Im(f(θ=0)). For fixed θ≠ 0, the classical limit is straightforward to obtain.