HamiltonJacobi and Schrödinger Theory in Theories with FirstClass Hamiltonian Constraints
Abstract
Brief proofs are given, applying in the case of classical HamiltonJacobi theory to the action S, and in a Schrödingertype quantum theory to the state vector Ψ, (1) that these quantities are independent of the time t, and (2) that they as well as the equations obeyed by them are forminvariant under the invariance group of transformations, provided the invariance transformations are generated by constraints and provided these constraints include the Hamiltonian. In Dirac's version the equations of general relativity have all these properties.
 Publication:

Physical Review
 Pub Date:
 April 1966
 DOI:
 10.1103/PhysRev.144.1078
 Bibcode:
 1966PhRv..144.1078B