1995•Unpublished venueRequires access

Higher Derivatives and Canonical Formalisms

Takao Nakamura, Shinji Hamamoto

Abstract

Path integral expressions for three canonical formalisms-Ostrogradski's one, constrained one and generalized one- of higher-derivative theories are given. For each formalism we consider both nonsingular and singular cases. It is shown that three formalisms share the same path integral expressions. In particular it is pointed out that the generalized canonical formalism is connected with the constrained one by a canonical transformation.

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Key concepts: Rotation formalisms in three dimensions, Invertible matrix, Formalism (music), Canonical transformation, Canonical form, Physics, Hamiltonian formalism, Path integral formulation