Higher order constrained Hamiltonian systems

2009 ◽  
Vol 50 (8) ◽  
pp. 082901 ◽  
Author(s):  
Sergio D. Grillo
Keyword(s):  
Hamiltonian Systems ◽  
Higher Order ◽  
Constrained Hamiltonian Systems

Constrained Hamiltonian systems and gauge theories

1995 ◽  
Vol 34 (12) ◽  
pp. 2353-2371 ◽  
Author(s):  
Giovanni Giachetta ◽  
Luigi Mangiarotti
Keyword(s):  
Hamiltonian Systems ◽  
Gauge Theories ◽  
Constrained Hamiltonian Systems

scholarly journals Higher Order Hamiltonian Systems with Generalized Legendre Transformation

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 163
Author(s):  
Dana Smetanová
Keyword(s):  
Hamiltonian System ◽  
Hamiltonian Systems ◽  
Higher Order ◽  
Second Order ◽  
Legendre Transformation ◽  
Lagrange Equations ◽  
Hamilton Equations ◽  
Strongly Regular

The aim of this paper is to report some recent results regarding second order Lagrangians corresponding to 2nd and 3rd order Euler–Lagrange forms. The associated 3rd order Hamiltonian systems are found. The generalized Legendre transformation and geometrical correspondence between solutions of the Hamilton equations and the Euler–Lagrange equations are studied. The theory is illustrated on examples of Hamiltonian systems satisfying the following conditions: (a) the Hamiltonian system is strongly regular and the Legendre transformation exists; (b) the Hamiltonian system is strongly regular and the Legendre transformation does not exist; (c) the Legendre transformation exists and the Hamiltonian system is not regular but satisfies a weaker condition.

Time-dependent constrained Hamiltonian systems and Dirac brackets

1996 ◽  
Vol 29 (21) ◽  
pp. 6843-6859 ◽  
Author(s):  
Manuel de León ◽  
Juan C Marrero ◽  
David Martín de Diego
Keyword(s):  
Hamiltonian Systems ◽  
Time Dependent ◽  
Constrained Hamiltonian Systems ◽  
Dirac Brackets
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