Dimitar Mladenov

Hamiltonian reduction of SU(2) Dirac-Yang-Mills mechanics

The SU(2) gauge invariant Dirac-Yang-Mills mechanics of spatially homogeneous isospinor and gauge fields is considered in the framework of the generalized Hamiltonian approach. The unconstrained Hamiltonian system equivalent to the model is obtained using the gaugeless method of Hamiltonian reduction. The latter includes the Abelianization of the first class constraints, putting the second class constraints into the canonical form and performing a canonical transformation to a set of adapted coordinates such that a subset of the new canonical pairs coincides with the second class constraints and part of the new momenta is equal to the Abelian constraints. In the adapted basis the pure gauge degrees of freedom automatically drop out from the consideration after projection of the model onto the constraint shell. Apart from the elimination of these ignorable degrees of freedom a further Hamiltonian reduction is achieved due to the three dimensional group of rigid symmetry possessed by the system.

Euler-Calogero-Moser system from SU(2) Yang-Mills theory

The relation between the Euler-Calogero-Moser model and

Generalized Calogero-Moser-Sutherland models from geodesic motion on GL+ (n, R) group manifold

\mathrm{SU}(2)

Unconstrained SU(2) Yang-Mills Theory with Topological Term in the Long-Wavelength Approximation

Yang-Mills mechanics, originating from the four-dimensional

On unconstrained SU(2) gluodynamics with theta angle

\mathrm{SU}(2)

Bianchi type I cosmology and the Euler-Calogero-Sutherland model

Yang-Mills theory under the supposition of spatial homogeneity of the gauge fields, is discussed in the framework of Hamiltonian reduction. Two kinds of reduction of the degrees of freedom are considered: due to gauge invariance and due to discrete symmetry. In the former case, it is shown that after elimination of the gauge degrees of freedom from the

Analysis of constraints in light-cone version of SU(2) Yang-Mills mechanics

\mathrm{SU}(2)

On application of involutivity analysis of differential equations to constrained dynamical systems

Yang-Mills mechanics the resulting unconstrained system represents the

Light cone SU(2) Yang-Mills theory and conformal mechanics

{\mathrm{ID}}_{3}

Local invariants for mixed qubit-qutrit states

Euler-Calogero-Moser model with a certain external fourth-order potential. In the latter, the