2 papers
math-ph2025
Characterization of the D'Alembertian by the Poincaré Invariance
Hiromichi Nakazato, Tohru Ozawa
Many physical models are described by partial differential equations and the most important mathematical structure of the equations is governed by the corresponding linear partial…
math-ph2025
Characterization of the time-dependent free Schrödinger operator by the Galilei invariance
Hiromichi Nakazato, Tohru Ozawa
The time-dependent free Schrödinger operator is shown to be characterized as the only linear partial differential operator of the second order that is invariant under the Galilei…