35 citations · 421 across the 77 of their papers we have counts for
5 papers · 2 filters
Composite bundles in Clifford algebras. Gravitation theory. Part I
G. Sardanashvily, A. Yarygin
Based on a fact that complex Clifford algebras of even dimension are isomorphic to the matrix ones, we consider bundles in Clifford algebras whose structure group is a general line…
Deformation quantization on jet manifolds
G. Sardanashvily, A. Zamyatin
Deformation quantization conventionally is described in terms of multidifferential operators. Jet manifold technique is well-known provide the adequate formulation of theory of dif…
Noether's first theorem in Hamiltonian mechanics
G. Sardanashvily
Non-autonomous non-relativistic mechanics is formulated as Lagrangian and Hamiltonian theory on fibre bundles over the time axis R. Hamiltonian mechanics herewith can be reformulat…
Inequivalent Vacuum States in Algebraic Quantum Theory
G. Sardanashvily
The GNS representation construction is considered in a general case of topological involutive algebras of quantum systems, including quantum fields, and inequivalent state spaces o…
Polysymplectic Hamiltonian Field Theory
G. Sardanashvily
Applied to field theory, the familiar symplectic technique leads to instantaneous Hamiltonian formalism on an infinite-dimensional phase space. A true Hamiltonian partner of first…