Zobrazeno 1 - 9 of 9 pro vyhledávání: '"I. M. Burban"'
1
Unified (p, q; α, γ, l)-Deformations of Oscillator and Hybrid Oscillator Algebras and Two-Dimensional Conformal Field Theory
Autor: I M I M Burban Burban
Publikováno v: Ukrainian Journal of Physics; Vol. 58 No. 11 (2013); 1113
Український фізичний журнал; Том 58 № 11 (2013); 1113
The unified multiparametric generalizations of the well-known two-parameter deformed oscillator and hybrid oscillator algebras are introduced. The basic versions of these deformations are obtained by imputing the new free parameters in the structure
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d1d0a66473b75e22c2c543d124a7cb5e
https://doi.org/10.15407/ujpe58.11.1113
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2
GENERALIZED DEFORMED HARMONIC OSCILLATORS IN THE FRAMEWORK OF UNIFIED (q; α, β, γ; ν)-DEFORMATION
Autor: I. M. Burban
Publikováno v: Modern Physics Letters A. 25:1239-1249
The aim of this paper is the study of the generalized deformed quantum oscillators in the framework (q; α, β, γ; ν)-deformed of oscillator algebra. By selecting the special values of deformation parameters, we have separated a generalized deforme
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::69493de690ac42ac56feb3d150b23d26
https://doi.org/10.1142/s0217732310033050
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3
Twist Functors and D-Branes
Autor: I. I. Burban, I. M. Burban
Publikováno v: Ukrainian Mathematical Journal. 57:18-34
We discuss a categorical approach to the investigation of topological D-branes. Twist functors and their induced action on the cohomology ring of a manifold are studied. A nontrivial spherical object of the derived category of coherent sheaves of a r
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e8180f30bf54a7144db32c07979f3150
https://doi.org/10.1007/s11253-005-0169-8
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4
On spectral properties ofq-oscillator operators
Autor: I. M. Burban, A. U. Klimyk
Publikováno v: Letters in Mathematical Physics. 29:13-18
The property of self-adjointness of the operatorQ =a + +a - in three types ofq-oscillator algebras is considered. Spectral measures and generalized eigenfunctions ofQ are found in the cases when this operator is bounded. Generalized eigenvectors are
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::79e98b7246f0d4880f399f643047f944
https://doi.org/10.1007/bf00760854
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5
Representations of the quantum algebra Uq(su1,1)
Autor: I. M. Burban, A U Klimyk
Publikováno v: Journal of Physics A: Mathematical and General. 26:2139-2151
All irreducible representations of the quantum group Uq(su1,1) are given. They are determined by two complex numbers. Infinitesimally unitary representations are separated from the set of irreducible representations. It is shown that the symmetric op
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e89d4bbc0028a17e775b631983e0f697
https://doi.org/10.1088/0305-4470/26/9/011
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6
Unified (q; α, β, γ; ν)-deformation of one-parametricq-deformed oscillator algebras
Autor: I M Burban
Publikováno v: Journal of Physics A: Mathematical and Theoretical. 42:065201
We define a generalized (q; α, β, γ; ν)-deformed oscillator algebra and find its structure function of deformation. This algebra includes many other deformations as special cases. We give the classification of irreducible representations of the a
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9f18f5ad271b547d49729d4923ab913b
https://doi.org/10.1088/1751-8113/42/6/065201
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7
Two-meron configurations in the nonabelian Higgs model
Autor: V. A. Yatsun, I. M. Burban
Publikováno v: Letters in Mathematical Physics. 7:33-37
In the nonabelian SU(2) gauge Higgs model, the explicit meron-meron solution is given for a discrete value of the coupling constant of the scalar fields.
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::9e096fef80ceb5593d23c7e4726b9eed
https://doi.org/10.1007/bf00398709
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