Covariant canonical formalism for the group manifold

Journal Article · Sun Dec 01 04:00:00 EST 1985 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(85)90302-1· OSTI ID:6276552

D'Adda, A; Nelson, J E; Regge, T

A canonical formalism is developed for the exterior calculus on differential forms using the group manifold approach. The formalism is naturally invariant under coordinate transformations, i.e., there is no preferred time direction. The Lagrangian density is again found to be degenerate and we discuss the resulting constraints a la Dirac. The Hamiltonian formalism is introduced using a bracket operation, defined for differential forms.

• Research Organization: Istituto di Fisica Teorica dell'Universita di Torino, Istituto Nazionale di Fisica Nucleare, Sezione di Torino, 10125 Torino, Italy
• OSTI ID: 6276552
• Journal Information: Ann. Phys. (N.Y.); (United States), Journal Name: Ann. Phys. (N.Y.); (United States) Vol. 165:2; ISSN APNYA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CANONICAL TRANSFORMATIONS
FOUR-DIMENSIONAL CALCULATIONS
GRAVITATIONAL FIELDS
HAMILTONIANS
MATHEMATICAL MANIFOLDS
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
TRANSFORMATIONS