29 citations · 140 across the 19 of their papers we have counts for
7 papers · 1 filter
Generalized Weyl-Wigner-Moyal Formalism and Topological Groups
J. J. Sławianowski, V. Kovalchuk, A. Martens +2
Discussed are some geometric aspects of the phase space formalism in quantum mechanics in the sense of Weyl, Wigner, Moyal and Ville. We analyze the relationship between this forma…
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…
On Classical Dynamics of Affinely-Rigid Bodies Subject to the Kirchhoff-Love Constraints
Vasyl Kovalchuk
In this article we consider the affinely-rigid body moving in the three-dimensional physical space and subject to the Kirchhoff-Love constraints, i.e., while it deforms homogeneous…