34 citations · 83 across the 34 of their papers we have counts for
6 papers · 1 filter
Quantum mechanics with respect to different reference frames
L. Mangiarotti, G. Sardanashvily
Geometric (Schrodinger) quantization of nonrelativistic mechanics with respect to different reference frames is considered. In classical nonrelativistic mechanics, a reference fram…
Algebras of infinite qubit systems
G. Sardanashvily
The input and output algebras of an infinite qubit system and their representations are described.
Hopf algebras of canonical commutation relations
G. Sardanashvily
Given a Heisenberg algebra A of canonical commutation relations modelled over an infinite-dimensional nuclear space, a Hopf algebra of its quantum deformations is also an algebra o…
Holonomic control operators in quantum completely integrable Hamiltonian systems
G. Sardanashvily
We provide geometric quantization of a completely integrable Hamiltonian system in the action-angle variables around an invariant torus with respect to the angle polarization. The…
Covariant geometric quantization of non-relativistic Hamiltonian mechanics
G. Giachetta, L. Mangiarotti, G. Sardanashvily
We provide geometric quantization of the vertical cotangent bundle V^*Q equipped with the canonical Poisson structure. This is a momentum phase space of non-relativistic mechanics…
On quantum evolution as a parallel transport
G. Sardanashvily
Time-dependent quantum evolution is described by an algebraic connection on a -module of sections of a -algebra (or Hilbert) fibre bundle.