Zobrazeno 1 - 10
of 143
pro vyhledávání: '"Kuzmenko, T."'
Publikováno v:
Phys. Rev. A 100, 033415 (2019)
In a cold atom gas subject to a 2D spin-dependent optical lattice potential with hexagonal symmetry, trapped atoms undergo orbital motion around the potential minima. Such atoms are elementary quantum rotors. We develop the theory of such quantum rot
Externí odkaz:
http://arxiv.org/abs/1903.03847
Autor:
Shpakivskyi, V. S., Kuzmenko, T. S.
In the paper [1] we consider a new class, so-called, $G$-monogenic (differentiable in the sense of Gateaux) quaternionic mappings. In the present paper we introduce quaternionic $H$-monogenic (differentiable in the sense of Hausdorff) mappings and es
Externí odkaz:
http://arxiv.org/abs/1605.08869
Autor:
Kuzmenko, T. S.
For $G$-monogenic mappings taking values in the algebra of complex quaternion we prove a curvilinear analogue of the Cauchy integral theorem in the case where a curve of integration lies on the boundary of a domain.
Comment: submitted to Interna
Comment: submitted to Interna
Externí odkaz:
http://arxiv.org/abs/1605.04106
Autor:
Kuzmenko, T. S.
Taylor's and Laurent's expansions of $G$-monogenic mappings taking values in the algebra of complex quaternion are obtained and singularities of these mappings are classified.
Comment: in Ukrainian, Submitted to Proc. of the Institute of Mathema
Comment: in Ukrainian, Submitted to Proc. of the Institute of Mathema
Externí odkaz:
http://arxiv.org/abs/1503.05218
Autor:
Shpakivskyi, V. S., Kuzmenko, T. S.
In the paper [1] considered a new class of quaternionic mappings, so-called $G$-monogenic mappings. In this paper we prove analogues of classical integral theorems of the holomorphic function theory: the Cauchy integral theorems for surface and curvi
Externí odkaz:
http://arxiv.org/abs/1412.5320
Autor:
Shpakivskyi, V. S., Kuzmenko, T. S.
We consider a new class of quaternionic mappings, associated with the spatial partial differential equations. We describe all mappings from this class using four analytic functions of the complex variable.
Comment: in Ukrainian, Submitted to Ukr
Comment: in Ukrainian, Submitted to Ukr
Externí odkaz:
http://arxiv.org/abs/1412.5142
Publikováno v:
Phys. Rev. B 91, 165131 (2015)
The feasibility of realizing overscreened Kondo effect in ultra-cold Fermi gas of atoms with spin $s \ge \tfrac{3}{2}$ in the presence of a localized magnetic impurity atom is proved realistic. Specifying to a system of ultra cold $^{22}$Na Fermi gas
Externí odkaz:
http://arxiv.org/abs/1402.0187
A scenario for the formation of symmetry protected non-Fermi-liquid (NFL) Kondo effect (KE) with spin variable enumerating Kondo channels is suggested and worked out. In doubly occupied symmetric triple quantum dot within parallel geometry, the NFL l
Externí odkaz:
http://arxiv.org/abs/1210.4625
Autor:
Kuzmenko T. S., Vorotyntsev S. I.
Publikováno v:
Вісник проблем біології і медицини, Vol 2, Iss 1, Pp 156-160 (2019)
The aim of the study was to assess the effect of preoperative use of incentive spirometry (IS) on inspiratory lung capacity (ILC) and the development of postoperative pulmonary complications in patients with moderate and high risk of their developmen
Externí odkaz:
https://doaj.org/article/6a0bd2cdb83e478792000cf279916b3e
Publikováno v:
Phys. Rev. B 76, 115108 (2007)
We study a lattice realization of a Luttinger liquid interacting with a bath of quantum spins in terms of an antiferromagnetic S=1/2 Heisenberg chain, where each spin is also coupled to a \sigma=1/2 Kondo spin degree of freedom. This model describes
Externí odkaz:
http://arxiv.org/abs/0704.2343