CANONICAL AND D-TRANSFORMATIONS IN THEORIES WITH CONSTRAINTS

We describe a class of transformations in a super phase space (we call them D-transformations) which play the role of ordinary canonical tra nsformations in theories with second-class constraints. Namely, in suc h theories they preserve the form invariance of equations of motion, t heir quantum analogs are unitary transformations, and the measure of i ntegration in the corresponding Hamiltonian path integral is invariant under these transformations.