33 citations · 314 across the 26 of their papers we have counts for
26 papers
Inclusion theorems for the Moyal multiplier algebras of generalized Gelfand-Shilov spaces
Michael A. Soloviev
We prove that the Moyal multiplier algebras of the generalized Gelfand-Shilov spaces of type contain Palamodov spaces of type and the inclusion maps are continuous…
Integral representations of the star product corresponding to the -ordering of the creation and annihilation operators
Michael A. Soloviev
A new integral representation is obtained for the star product corresponding to the -ordering of the creation and annihilation operators. This parametric ordering convention int…
Dirac's magnetic monopole and the Kontsevich star product
Michael A. Soloviev
We examine relationships between various quantization schemes for an electrically charged particle in the field of a magnetic monopole. Quantization maps are defined in invariant g…
Dirac's monopole, quaternions, and the Zassenhaus formula
Michael A. Soloviev
Starting from the quaternionic quantization scheme proposed by Emch and Jadczyk for describing the motion of a quantum particle in the magnetic monopole field, we derive an algorit…
Algebras with convergent star products and their representations in Hilbert spaces
Michael A. Soloviev
We study star product algebras of analytic functions for which the power series defining the products converge absolutely. Such algebras arise naturally in deformation quantization…
Wedge locality and asymptotic commutativity
Michael A. Soloviev
In this paper, we study twist deformed quantum field theories obtained by combining the Wightman axiomatic approach with the idea of spacetime noncommutativity. We prove that the d…