-linear operators in quantum mechanics and in economy.
Seeable matter; unseeable antimatter
The universe we see gives every sign of being composed of matter. This is considered a major unsolved problem in theoretical physics. Using the mathematical modeling based on the algebra , an interpretation is developed that suggests that this seeable universe is not the whole universe; there is an unseeable part of the universe composed of antimatter galaxies and stuff, and an extra 6 dimensions of space (also unseeable) linking the matter side to the antimatter—at the very least.
Self-adjointness of lattice Yang-Mills hamiltonians and Kato's inequality with indefinite metric
Semiobservables on quantum logics
Simulation of equatorial von Neumann measurements on GHZ states using nonlocal resources.
Some additional remarks on Fock space stochastic calculus
Some distributivities in GBbi-QRs characterizing Boolean rings
This paper presents some manner of characterization of Boolean rings. These algebraic systems one can also characterize by means of some distributivities satisfied in GBbi-QRs.
Some new Results for Additive Self-Dual Codes over GF(4)
* Supported by COMBSTRU Research Training Network HPRN-CT-2002-00278 and the Bulgarian National Science Foundation under Grant MM-1304/03.Additive code C over GF(4) of length n is an additive subgroup of GF(4)n. It is well known [4] that the problem of finding stabilizer quantum error-correcting codes is transformed into problem of finding additive self-orthogonal codes over the Galois field GF(4) under a trace inner product. Our purpose is to construct good additive self-dual codes of length 13...
Some non-markovian Osterwalder-Schrader fields
Some remarks on Gleason measures
This work is devoted to generalizing the Lebesgue decomposition and the Radon-Nikodym theorem to Gleason measures. For that purpose we introduce a notion of integral for operators with respect to a Gleason measure. Finally, we give an example showing that the Gleason theorem does not hold in non-separable Hilbert spaces.
Spaces of observables
Spectral resolutions for -complete lattice effect algebras
State space properties of finite logics
Statistical maps. I: Basic properties
Statistical maps. II: Operational random variables and the Bell phenomenon
Study of the behavior of quantum dynamics as
Sum of observables in fuzzy quantum spaces
We introduce the sum of observables in fuzzy quantum spaces which generalize the Kolmogorov probability space using the ideas of fuzzy set theory.
Superpositions of states and a representation theorem
Supporting sequences of pure states on JB algebras
We show that any sequence of mutually orthogonal pure states on a JB algebra A such that forms an almost discrete sequence in the relative topology induced by the primitive ideal space of A admits a sequence consisting of positive, norm one, elements of A with pairwise orthogonal supports which is supporting for in the sense of for all n. Moreover, if A is separable then can be taken such that is uniquely determined by the biorthogonality condition . Consequences of this result improving...
Symmetric difference in orthomodular lattices