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math-ph2008★ 3 cited
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…
math-ph2008★ 3 cited
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…