Discussed is the quantized version of the classical description of collective and internal
affine modes as developed in Part I. We perform the Schrödinger quantization and reduce …

Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and
differential geometry - NASA/ADS Now on home page ads icon ads Enable full ADS view …

Discussed is the structure of classical and quantum excitations of internal degrees of
freedom of multiparticle objects like molecules, fullerens, atomic nuclei, etc. Basing on some …

Dynamical models with degrees of freedom ruled by linear and affine groups have been
discussed in various aspects by many people, eg OI Bogoyavlensky [7] and JJ …

Considered is the Schrödinger equation in a finite-dimensional space as an equation of
mathematical physics derivable from the variational principle and treatable in terms of the …

Discussed is mechanics of objects with internal degrees of freedom in generally non-
Euclidean spaces. Geometric peculiarities of the model are investigated in detail Discussed …

Discussed are geometric structures underlying analytical mechanics of systems of affine
bodies. Presented is detailed algebraic and geometric analysis of concepts like mutual …

Discussed is Schrödinger quantization of the classical object the configuration space of
which is given by the manifold of affine injections from the “material space” into the “physical …

Described is n-level quantum system realized in the n-dimensional''Hilbert''space H with the
scalar product G taken as a dynamical variable. The most general Lagrangian for the wave …

The special interest is devoted to such situations when the material space of object with
affine degrees of freedom has generally lower dimension than the one of the physical space …