A dynamical formalism of singular Lagrangian system with higher derivatives

DOI10.1063/1.528331zbMath0682.70015OpenAlexW2027416650MaRDI QIDQ4732151

Toshiei Kimura, Tadayuki Ohta, Yoshihiko Saito, Reiji Sugano

Publication date: 1989

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528331

zbMATH Keywords

Lagrange formalismsingular Lagrangian systemDirac formalismacceleration-dependent potentialsLagrangian of two- point particlesOstrogradski transformation

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Lagrange's equations (70H03) Canonical and symplectic transformations for problems in Hamiltonian and Lagrangian mechanics (70H15)

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Transformation properties of constrained Hamiltonian system and PBRST charge ⋮ Redefinition of position variables and the reduction of higher-order Lagrangians ⋮ Gauge symmetries and Dirac conjecture ⋮ Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints ⋮ Derivation of many-body potential among charged particles in the S-matrix method ⋮ Quantization of higher-derivative field theories ⋮ Reductions of topologically massive gravity II. First order realizations of second order Lagrangians ⋮ Symmetries in a constrained system with a singular higher-order Lagrangian ⋮ Treatment of higher-order Lagrangians via the construction of dynamically equivalent first-order Lagrangians ⋮ Higher-order point and continuum mechanics from phase-space action ⋮ Reductions of topologically massive gravity I: Hamiltonian analysis of second order degenerate Lagrangians ⋮ Addendum to a dynamical formalism of singular Lagrangian system with higher derivatives

Cites Work

• Renormalization of a Classical Gravitational Field Interacting with Quantized Matter Fields
• Theory of the Interactions with Higher Derivatives and its Application to the Non-local Interaction