3 citations · 3 across the 1 of their papers we have counts for
7 papers
Killing-Yano symmetry for a class of spacetimes admitting parallel null 1-planes
D. Baleanu, S. Baskal
A possible generalization of plane fronted waves with parallel rays (gpp-wave) fall into a more general class of metrics admitting parallel null 1-planes. For gpp-wave metric, the…
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…
Symmetries of the dual metrics
Dumitru Baleanu
In this paper the symmetries of the dual manifold were investigated. We found the conditions when the manifold and its dual admit the same Killing vectors and Killing-Yano tensors.…