The theory of Hermite polynomials of two variables and two indices is discussed herein. Within the context of phase-space formulation of classical and quantum mechanics, they play the same role as conventional Hermite polynomials in ordinary quantum mechanics. Finally their extension to m variables and m indices is analyzed. © 1994 American Institute of Physics.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Dattoli, G., Lorenzutta, S., Maino, G., & Torre, A. (1994). Phase-space dynamics and Hermite polynomials of two variables and two indices. Journal of Mathematical Physics, 35(9), 4451 - 4462. https://doi.org/10.1063/1.530864