3 papers
math.DG2026
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…
math-ph2026
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…
quant-ph2005
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…