On an evolution operator connecting Lagrangian and Hamiltonian formalisms
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Publication:581896
DOI10.1007/BF00401582zbMath0689.58016OpenAlexW2065482074MaRDI QIDQ581896
Publication date: 1989
Published in: Letters in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00401582
Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Hamiltonian and Lagrangian mechanics (70H99)
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Cites Work
- The time-evolution operator for singular Lagrangians
- Lagrangian and Hamiltonian constraints
- Noether’s theorem and gauge transformations: Application to the bosonic string and C P n−12 model
- New relations between Hamiltonian and Lagrangian constraints
- Lagrangian and Hamiltonian constraints for second-order singular Lagrangians
- Presymplectic manifolds and the Dirac–Bergmann theory of constraints
- Higher-order Lagrangian systems: Geometric structures, dynamics, and constraints
- Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
- Foundations of Quantum Mechanics