29 citations · 140 across the 19 of their papers we have counts for
4 papers · 2 filters
Schrödinger and related equations as Hamiltonian systems, manifolds of second-order tensors and new ideas of nonlinearity in quantum mechanics
J. J. Sławianowski, V. Kovalchuk
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 L…
Dynamical systems with internal degrees of freedom in non-Euclidean spaces
J. J. Sławianowski, V. Kovalchuk, B. Gołubowska +2
Presented is description of kinematics and dynamics of material points with internal degrees of freedom moving in a Riemannian manifold. The models of internal degrees of freedom w…
Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models
J. J. Sławianowski, V. Kovalchuk, A. Sławianowska +4
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 e…
Affine symmetry in mechanics of collective and internal modes. Part I. Classical models
J. J. Sławianowski, V. Kovalchuk, A. Sławianowska +4
Discussed is a model of collective and internal degrees of freedom with kinematics based on affine group and its subgroups. The main novelty in comparison with the previous attempt…