2 citations · 2 across the 1 of their papers we have counts for
6 papers
Binomial theorem and exponent for variables commuting as
A. V. Stoyanovsky
We state analogs of the binomial theorem and the exponential function for variables , commuting as .
Is quantum field theory a generalization of quantum mechanics?
A. V. Stoyanovsky
We construct a mathematical model analogous to quantum field theory, but without the notion of vacuum and without measurable physical quantities. This model is a direct mathematica…
Some additive relations in the Pascal triangle
A. V. Stoyanovsky
We derive some, seemingly new, curious additive relations in the Pascal triangle. They arise in summing up the numbers in the triangle along some vertical line up to some place.
Pseudodynamical evolution and path integral in quantum field theory
A. V. Stoyanovsky
Using the notion of distribution on an infinite dimensional space defined in our previous paper, we give definition of a version of dynamical evolution in quantum field theory, mot…
A necessary condition for existence of S-matrix outside perturbation theory
A. V. Stoyanovsky
Using the Maslov--Shvedov method of complex germ, we show that quantum field theory S-matrix can exist outside perturbation theory in the principal order of quasiclassical approxim…
Quantum Langlands duality and conformal field theory
A. V. Stoyanovsky
V. Drinfeld proposed conjectures on geometric Langlands correspondence and its quantum deformation. We refine these conjectures and propose their relationship with algebraic confor…