We describe the quantum states of an elementary particle invariant with respect to asymmetry group as solutions of an invariant wave equation. From the mathematical point ofview the wave equation is a set of differential operators on the space of vector-valued dis-tributions over the space-time. As an application, we consider the Galilei invariant particlesboth in 3 + 1 and in 2 + 1 dimensions.
Galilei invariant wave equations
CASSINELLI, GIOVANNI;DE VITO, ERNESTO
1999-01-01
Abstract
We describe the quantum states of an elementary particle invariant with respect to asymmetry group as solutions of an invariant wave equation. From the mathematical point ofview the wave equation is a set of differential operators on the space of vector-valued dis-tributions over the space-time. As an application, we consider the Galilei invariant particlesboth in 3 + 1 and in 2 + 1 dimensions.
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