19 citations · 53 across the 9 of their papers we have counts for
8 papers · 1 filter
Quantized Mechanics of Affinely-Rigid Bodies
Jan Jerzy Sławianowski, Vasyl Kovalchuk, Barbara Gołubowska +2
In this paper we develope the main ideas of the quantized version of affinely-rigid (homogeneously deformable) motion. We base our consideration on the usual Schrödinger formulatio…
Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives
J. J. Sławianowski, B. Gołubowska, E. E. Rożko +3
The purpose of this publication is to derive and discuss equations of motion of affinely rigid (homogeneously deformable) body moving in Euclidean space of general dimension . O…
Mechanics of Systems of Affine Bodies. Geometric Foundations and Applications in Dynamics of Structured Media
Jan Jerzy Sławianowski, Vasyl Kovalchuk, Agnieszka Martens +2
In the present paper we investigate the mechanics of systems of affinely-rigid bodies, i.e., bodies rigid in the sense of affine geometry. Certain physical applications are possibl…
Quasiclassical and Quantum Systems of Angular Momentum. Part II. Quantum Mechanics on Lie Groups and Methods of Group Algebras
J. J. Sławianowski, V. Kovalchuk, A. Martens +2
In Part I of this series we presented the general ideas of applying group-algebraic methods for describing quantum systems. The treatment was there very "ascetic" in that only the…
Quasiclassical and Quantum Systems of Angular Momentum. Part I. Group Algebras as a Framework for Quantum-Mechanical Models with Symmetries
J. J. Sławianowski, V. Kovalchuk, A. Martens +2
We use the mathematical structure of group algebras and -algebras for describing certain problems concerning the quantum dynamics of systems of angular momenta, including al…
Quasiclassical and Quantum Systems of Angular Momentum. Part III. Group Algebra of , Quantum Angular Momentum and Quasiclassical Asymptotics
J. J. Sławianowski, V. Kovalchuk, A. Martens +2
This is the third part of our series "Quasiclassical and Quantum Systems of Angular Momentum". In two previous parts we have discussed the methods of group algebras in formulation…
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…