Canonical transformations and Hamiltonian path integrals

Journal Article · Mon Feb 01 04:00:00 EST 1982 · Sov. J. Nucl. Phys. (Engl. Transl.); (United States)

OSTI ID:5095381

Prokhorov, L V

The behavior of Hamiltonian path integrals under canonical transformations defined by a generator is investigated. The exact form of the kernel of the unitary operator which implements the quantum transformation is indicated. Equivalence rules are found (for the Hamiltonian formalism in the one-dimensional case) allowing one to get rid of the nonstandard terms in the action. It is shown that under canonical transformations the Hamiltonian path integral changes its form: in the transformed expression one cannot get along only with the corresponding classical Hamiltonian function.

• Research Organization: Leningrad State University
• OSTI ID: 5095381
• Journal Information: Sov. J. Nucl. Phys. (Engl. Transl.); (United States), Journal Name: Sov. J. Nucl. Phys. (Engl. Transl.); (United States) Vol. 35:2; ISSN SJNCA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CANONICAL TRANSFORMATIONS
FIELD THEORIES
HAMILTONIANS
KERNELS
LAGRANGIAN FIELD THEORY
MATHEMATICAL OPERATORS
MECHANICS
QUANTUM FIELD THEORY
QUANTUM MECHANICS
QUANTUM OPERATORS
TRANSFORMATIONS
YANG-MILLS THEORY