65 citations · 341 across the 62 of their papers we have counts for
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Projective Systems of Imprimitivity
Dan Radu Grigore
We apply Mackey procedure of classifying projective systems of imprimitivity to a thorough study of the projective unitary irreducible representations of the Galilei group in 1+3 a…
Varational Equations and Symmetries in the Lagrangian Formalism
D. R. Grigore
Symmetries in the Lagrangian formalism of arbitrary order are analysed with the help of the so-called Anderson-Duchamp-Krupka equations. For the case of second order equations and…
On Equations with Universal Invariance
Dan Radu Grigore
A general discussion of equations with universal invariance for a scalar field is provided in the framework of Lagrangian theory of first-order systems.
Free Fields for Any Spin in Relativistic Quantum Mechanics
D. R. Grigore
A general discussion of the construction of free fields based on Weinberg anszatz is provided and various applications appearing in the litterature are considered.
Free Fields for Any Spin in 1+2 Dimensions
D. R. Grigore
We construct free fields of arbitrary spin in 1+2 dimensions i.e. free fields for which the one-particle Hilbert space carries a projective isometric irreducible representation of…
Hamiltonian Mechanics in 1+2 Dimensions
D. R. Grigore
A complete list of all transitive symplectic manifolds of the Poincaré and Galilei group in 1+2 dimensions is given.