5 papers
The Relative Differential Morphism and the Logarithmic Connection of Dual Conformal Nets
A. G. Nuramatov
Let be a compact connected Riemann surface equipped with two nonconstant meromorphic projections . Their differentials determine a canonical meromorphic r…
Analytic Continuation of the Frenet Curvature Form of an Analytic Plane Curve
A. G. Nuramatov
Fermi coordinates provide a natural local coordinate system near a plane curve. Nevertheless, they are not conformal and are not generated directly by the curvature form. The prese…
Connection Factorization in Constrained Quantum Mechanics
A. G. Nuramatov
We investigate constrained quantum motion on curves and surfaces using connection factorization methods. We show that Laplace operators admit an exact half-connection factorization…
R-matrices for integrable axially symmetric S=1 spin chains
P. N. Bibikov, A. G. Nuramatov
The Reshetikhin condition for the general Hamiltonian density matrix of the axially symmetric spin chain is completely solved. 16 new integrable models and corresponding -…
On quantization of systems with second class constraints
A. G. Nuramatov, L. V. Prokhorov
It is shown that quantization of the dynamical systems with second class constraints actually can be reduced to quantization of the systems with first class constraints. The motion…