1 citations · 1 across the 4 of their papers we have counts for
9 papers
Particles of generalized statistics, quantum logic and categories
W. Marcinek
A collection of brilliant and original unfinished ideas by Wladyslaw Marcinek (1952-2003) in particle interactions, categorical approach to generalized statistics, qubits and quant…
Quantum Yang-Baxter equation, arbitrary gradings and exchange Hecke braidings
W. Marcinek
Generalization of the quantum Yang-Baxter equation solutions to an arbitrary grading is studied. The noncommutative differential calculi corresponding to such solutions is consider…
Quantum-Classical Interactions and Galois Type Extensions
Wladyslaw Marcinek
An algebraic model for the relation between a certain classical particle system and the quantum environment is proposed. The quantum environment is described by the category of pos…
Quantum-Classical Correspondence and Galois Extensions
Wladyslaw Marcinek
A proposal of an algebraic model for the relation between a quantum environment and certain classical particle system is given. The quantum environment is described by a category o…
Particles, Generalized Statistics and Categories
Wladyslaw Marcinek
Interacting systems of particles with generalized statistics are considered on both classical and quantum level. It is shown that all possible quantum states and corresponding proc…
Some Comments on Categories, Particles and Interactions
Wladyslaw Marcinek
An algebraic formalism for the study of interacting particle systems is developed. Particle processes are described in terms of the category theory. The problem for the unique desc…