61 citations · 236 across the 19 of their papers we have counts for
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Faddeev-Jackiw quantization of spin-2 field
M. Leclerc
We apply the Faddeev-Jackiw method to the Hamiltonian analysis of the massless spin-two field. As expected, the reduced Hamiltonian contains only the traceless-transverse tensor, w…
Modified Ostrogradski formulation of field theory
M. Leclerc
We present a method for the Hamiltonian formulation of field theories that are based on Lagrangians containing second derivatives. The new feature of our formalism is that all four…
Noether's theorem, the stress-energy tensor and Hamiltonian constraints
M. Leclerc
Noether's theorem is reviewed with a particular focus on an intermediate step between global and local gauge and coordinate transformations, namely linear transformations. We reder…
Generally covariant quantization and the Dirac field
M. Leclerc
Canonical Hamiltonian field theory in curved spacetime is formulated in a manifestly covariant way. Second quantization is achieved invoking a correspondence principle between the…
Geodesic deviation and gravitational waves
M. Leclerc
The detection of gravitational waves based on the geodesic deviation equation is discussed. In particular, it is shown that the only non-vanishing components of the wave field in t…