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DirAcs generAl method for constrAined hAmiltonian systems
RelAtivistic point pArticle
RelAtivistic spinning pArticle
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action arbitrary functions Arnowitt asymptotic axial gauge boundary conditions canonical brackets canonical coordinates canonical Hamiltonian canonical momenta canonical Poisson brackets canonical variables choose compute conjugate consistent constraints 7.12 convention corresponding covariant defined deformation degrees of freedom Deser and Misner Dirac brackets dynamical energy-momentum tensor equations of motion Euler equations explicit expressed gauge choice gauge condition gauge constraints gauge transformation given gravitational Hamilton's equations hypersurface implies imposed independent variables infinitesimal infinity invariant relations inverse Lagrange brackets Lagrangian Lorentz group Lorentz transformation matrix metric momentum Noether current nonvanishing null-plane obey particle phase space Poincare group Poincare transformations primary constraints primed brackets procedure quantities quantization quantum mechanical radiation gauge reduced Hamiltonian Regge relativistic right hand side second class constraints secondary constraints spacetime spacetime coordinates straints surface integral Teitelboim tonian vanishing brackets vector velocities written zero