65 citations · 341 across the 62 of their papers we have counts for
6 papers · 1 filter
The Projective Unitary Irreducible Representations of the Galilei Group in 1+2 Dimensions
D. R. Grigore
We give an elementary analysis of the multiplicator group of the Galilei group in 1+2 dimensions . For a non-trivial multiplicator we give a list of all the corre…
Conformal Invariance in Classical Field Theory
D. R. Grigore
A geometric generalization of first-order Lagrangian formalism is used to analyse a conformal field theory for an arbitrary primary field. We require that global conformal transfor…
Statistics in the Propositional Formulation of Quantum Mechanics
Dan Radu Grigore
We give a definition for the notion of statistics in the lattice-theoretical (or propositional) formulation of quantum mechanics of Birchoff, von Neumann and Piron. We show that th…
Higher-Order Lagrangian Theories and Noetherian Symmetries
Dan Radu Grigore
A geometric global formulation of the higher-order Lagrangian formalism for systems with finite number of degrees of freedom is provided. The formalism is applied to the study of s…
The Projective Unitary Irreducible Representations of the Poincaré Group in 1+2 Dimensions
Dan Radu Grigore
We give a complete analysis of the projective unitary irreducible representations of the Poincaré group in 1+2 dimensions applying Mackey theorem and using an explicit formula for…
On the Uniqueness of the Newton-Wigner Position Operator
Dan Radu Grigore
It is shown that the quantum position operator of Newton and Wigner for non-zero mass systems is uniquely determined if one imposes a quantum ''manifest covariance'' condition of t…