Tootfinder

Rotations and boosts of Hermite functions
Maro Cvitan, Predrag Dominis Prester, Stefano Giaccari, Mateo Pauli\v{s}i\'c, Ivan Vukovi\'c
https://arxiv.org/abs/2405.00404

Rotations and boosts of Hermite functions
We provide transformation matrices for arbitrary Lorentz transformations of multidimensional Hermite functions in any dimension. These serve as a valuable tool for analyzing spacetime properties of MHS fields, and aid in the description of the relativistic harmonic oscillator and digital image manipulation. We also focus on finite boosts and rotations around specific axes, enabling us to identify the Lorentz Lie algebra generators. As an application and to establish a contact with the literatur…