Engineering topics
Publications and source records attributed to Obukhov, Yu. N..
Dynamics of a Dirac particle in general Riemann-Cartan spacetimes is considered. The Hermitian Dirac Hamiltonian is derived and is transformed to the Foldy-Wouthuysen representation for an arbitrary spacetime geometry. The contribution of the torsion field to the Foldy-Wouthuysen Hamiltonian is found. The new bounds on Cartan’s spacetime torsion are obtained.
We discuss the possibility that gravitational potentials (metric, coframe and connection) may emerge as composite fields from more fundamental spinor constituents. We use the formalism of Poincaré gauge gravity as an appropriate theoretical scheme for the rigorous development of such an approach. We postulate the constitutive relations of an elastic Cosserat type continuum that models spacetime. These generalized Hooke and MacCullagh type laws consistently take into account the translational and Lorentz rotational deformations, respectively. The resulting theory extends the recently proposed Diakonov model. An intriguing feature of our theory is that in the lowest approximation it reproduces Heisenberg’s nonlinear spinor model.
Dynamics of the Dirac particle spin in general strong gravitational fields is discussed. The Hermitian Dirac Hamiltonian is derived and transformed to the Foldy-Wouthuysen (FW) representation for an arbitrary metric. The quantum mechanical equations of spin motion are found. These equations agree with corresponding classical ones. The new restriction on the anomalous gravitomagnetic moment (AGM) by the reinterpretation of Lorentz invariance tests is obtained.