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Nambu--Poisson reformulation of the finite dimensional dynamical systems
Dumitru Baleanu, Nugzar Makhaldiani
In this paper we introduce a system of nonlinear ordinary differential equations which in a particular case reduces to Volterra's system. We found in two simplest cases the complet…
Hamilton-Jacobi treatment of fields with constraints
Dumitru Baleanu, Yurdahan Guler
In this paper the formalism for the systems with finite degrees of freedom is applied to the field theories with constraints. The integrability conditions are investigate…
Hamilton-Jacobi quantization of the finite dimensional systems with constraints
Dumitru Baleanu, Yurdahan Guler
The Hamiltonian treatment of constrained systems in formalism leads us to the total differential equations in many variables. These equations are integrable if the…
Quantization of Floreanini-Jackiw chiral harmonic oscillator
Dumitru Baleanu, Yurdahan Guler
The Floreanini-Jackiw formulation of the chiral quantum-mechanical system oscillator is a model of constrained theory with only second-class constraints. in the Dirac's classificat…