67 citations · 732 across the 44 of their papers we have counts for
8 papers · 1 filter
What is the Seiberg-Witten map exactly?
Vladislav Kupriyanov, Alexey Sharapov
We give a conceptual treatment of the Seiberg-Witten map as a quasi-isomorphism of -algebras.
Recurrence relations for symplectic realization of (quasi)-Poisson structures
Vladislav G. Kupriyanov
It is known that any Poisson manifold can be embedded into a bigger space which admites a description in terms of the canonical Poisson structure, i.e., Darboux coordinates. Such a…
Constructions of L algebras and their field theory realizations
Olaf Hohm, Vladislav Kupriyanov, Dieter Lust +1
We construct L algebras for general `initial data' given by a vector space equipped with an antisymmetric bracket not necessarily satisfying the Jacobi identity. We prov…
Hydrogen atom on curved noncommutative space
V. G. Kupriyanov
We have calculated the hydrogen atom spectrum on curved noncommutative space defined by the commutation relations $\left[ \hat {x}^{i},\hat{x}^{j}\right] =iθ\hatω^{ij}\left( \hat {…
Quantum mechanics with coordinate dependent noncommutativity
V. G. Kupriyanov
Noncommutative quantum mechanics can be considered as a first step in the construction of quantum field theory on noncommutative spaces of generic form, when the commutator between…
Gauge invariance and classical dynamics of noncommutative particle theory
D. M. Gitman, V. G. Kupriyanov
We consider a model of classical noncommutative particle in an external electromagnetic field. For this model, we prove the existence of generalized gauge transformations. Classica…