44 citations · 95 across the 15 of their papers we have counts for
15 papers
Weyl Representation of the Canonical Commutation Relations Algebras in a Krein Space
M. N. Mnatsakanova, S. G. Salinsky, Yu. S. Vernov
In the present article the existence of the Weyl representation for the canonical commutation relations algebras was proved in a Krein space.
LSZ reduction formula in many-dimensional theory with space-space noncommutativity
K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov
An analogue of the Lehmann-Symanzik-Zimmermann reduction formula is obtained for the case of noncommutative space-space theory. Some consequences of the reduction formula and Haag'…
Extension of von Neumann's uniqueness theorem to the theories with non-physical particles
K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov
Von Neumann's uniqueness theorem is extended to a special class of canonical commutation relations, namely the anti-Fock representations, which are realized on a Krein space.
Irreducibility of the set of field operators in Noncommutative Quantum Field Theory
M. N. Mnatsakanova, Yu. S. Vernov
Irreducibility of the set of quantum field operators has been proved in noncommutative quantum field theory in the general case when time does not commute with spatial variables.
Haag's Theorem in Noncommutative Quantum Field Theory
K. V. Antipin, M. N. Mnatsakanova, Yu. S. Vernov
Haag's theorem was extended to noncommutative quantum field theory in a general case when time does not commute with spatial variables. It was proven that if S-matrix is equal to u…
Analytical vectors and a new criterion of regularity for representation of canonical commutation relations algebra
M. N. Mnatsakanova, S. G. Salynskiy, Yu. S. Vernov
New criterion of regularity for representation of canonical commutation relations algebra is given on the basis of concept of an analytical vector.