A mathematician's view of the development of physics
An improved formulation of axioms for quantum mechanics
Axiomatique quantique et algèbres normées non associatives
Axiomatizácia fyzikálnych systémov a „kvantové logiky‟
Categorified algebra and quantum mechanics.
Classical analogues of quantum paradoxes.
Consistent histories: Description of a world with increasing entropy.
Covariant functional quantizations of superstrings
Editorial: Quantum structures, states and related topics
Equivalent norms in some spaces of analytic functions and the uncertainty principle
The main object of this work is to describe such weight functions w(t) that for all elements the estimate is valid with a constant K(Ω), which does not depend on f and it grows to infinity when the domain Ω shrinks, i.e. deforms into a lower dimensional convex set . In one-dimensional case means that as σ → 0. It should be noted that in the framework of the signal transmission problem such estimates describe a signal’s behavior under the influence of detection and amplification. This work...
Hypothesis of quantum as a distributed self-organized computation by collective of particles.
Irreversibility in quantum mechanics.
Jordan- and Lie geometries
In these lecture notes we report on research aiming at understanding the relation beween algebras and geometries, by focusing on the classes of Jordan algebraic and of associative structures and comparing them with Lie structures. The geometric object sought for, called a generalized projective, resp. an associative geometry, can be seen as a combination of the structure of a symmetric space, resp. of a Lie group, with the one of a projective geometry. The text is designed for readers having basic...
Kvantová teorie a operace spojení v teorii svazů
Mechanical analogy for the wave-particle: Helix on a vortex filament.
Microscopic irreversibility.
Nonlinear Dirac equations.
Notes on the essential system to acquire information.
On the quantal nature of the Coulomb field
It is shown that the total electric charge, as determined from the Gauss law, is a quantum object. The argument is based on elementary considerations concerning the number of photons, which should be large in a classical situation.
On wave functions in quantum mechanics