TY  - JOUR 
AU  - Jimenez Trejo, G.
AU  - Negro Vadillo, Francisco Javier
AU  - Nieto Calzada, Luis Miguel
AU  - Cruz y Cruz, Sara
PY  - 2026
SN  - 0003-4916
UR  - https://uvadoc.uva.es/handle/10324/83943
AB  - We analyze two-dimensional systems related to the Helmholtz equation that allow separation of variables in both polar and parabolic coordinates. We pay special attention to the symmetry algebras involved in the separation of variables. We show how the...
LA  - eng
PB  - Elsevier
KW  - Helmholtz equation
KW  - Geometric symmetries
KW  - Dynamical symmetries
KW  - Separation of variables
KW  - Polar and parabolic coordinates
KW  - Makarov potential
TI  - Polar and parabolic separable extensions of the two dimensional Helmholtz equation in free space: From geometric to dynamical symmetries
DO  - 10.1016/j.aop.2026.170460
ER  -