On the Noether identities for a class of systems with singular Lagrangians

1994 ◽  
Vol 35 (12) ◽  
pp. 6536-6545 ◽  
Author(s):  
Masud Chaichian ◽  
Domingo Louis Martinez
Keyword(s):  
Singular Lagrangians

Lagrangian and Hamiltonian constraints for second-order singular Lagrangians

1988 ◽  
Vol 21 (12) ◽  
pp. 2693-2703 ◽  
Author(s):  
C Batlle ◽  
J Gomis ◽  
J M Pons ◽  
N Roman-Roy
Keyword(s):  
Second Order ◽  
Singular Lagrangians

Geometric Theory of Time-Dependent Singular Lagrangians

1993 ◽  
Vol 41 (6) ◽  
pp. 517-552 ◽  
Author(s):  
José F. Cariñena ◽  
José Fernández-Núñez
Keyword(s):  
Geometric Theory ◽  
Time Dependent ◽  
Singular Lagrangians

scholarly journals Singular Lagrangians and precontact Hamiltonian systems

2019 ◽  
Vol 16 (10) ◽  
pp. 1950158 ◽  
Author(s):  
Manuel de León ◽  
Manuel Lainz Valcázar
Keyword(s):  
Hamiltonian Systems ◽  
Contact Geometry ◽  
Lagrangian Systems ◽  
Dirac Bracket ◽  
Jacobi Bracket ◽  
Singular Lagrangians

In this paper, we discuss the singular Lagrangian systems on the framework of contact geometry. These systems exhibit a dissipative behavior in contrast with the symplectic scenario. We develop a constraint algorithm similar to the presymplectic one studied by Gotay and Nester (the geometrization of the well-known Dirac–Bergmann algorithm). We also construct the Hamiltonian counterpart and prove the equivalence with the Lagrangian side. A Dirac–Jacobi bracket is constructed similar to the Dirac bracket.

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