The classical and the quantum massive string model based on a modified BDHP action is analyzed in the range of dimensions 1 < d < 25. The discussion concerning classical theory includes a formulationâ€¦ (More)

The paper deals with the problem of reconstruction of nonlinearities in a certain class of nonlinear dynamical systems of composite structure from their input-output observations when a priorâ€¦ (More)

The covariant operator quantization of the ordinary free spinning BDH string modified by adding the supersymmetric Liouville sector is analysed in the even target space dimensions d = 2, 4, 6, 8. Theâ€¦ (More)

The phase space of a particle on a group manifold can be split in left and right sectors, in close analogy with the chiral sectors in Wess Zumino Witten models. We perform a classical analysis of theâ€¦ (More)

We show that a large class of physical theories which has been under intensive investigation recently, share the same geometric features in their Hamiltonian formulation. These dynamical systemsâ€¦ (More)

Second-order equations of motion on a group manifold that appear in a large class of so-called chiral theories are presented. These equations are presented and explicitely solved for cases ofâ€¦ (More)

The non-linear characteristic of a system is recovered from noised observations. Three types of systems are considered: memoryless, Hammerstein and Wiener system. In Hammerstein system, theâ€¦ (More)

The classical and quantum model of high spin particles within the manifestly covariant framework. The internal (spin) degrees of freedom are described by two C(3, 1) Clifford algebra spinors. Theâ€¦ (More)

The classical and quantum model of high spin particles is analyzed within the manifestly covariant framework. The model is obtained by supplementing the standard Lagrange function for relativisticâ€¦ (More)