Zobrazeno 1 - 10
of 97
pro vyhledávání: '"Boris Zhilinskii"'
Autor:
Dmitrii Sadovskii, Boris Zhilinskii
Publikováno v:
Symmetry, Vol 14, Iss 2, p 183 (2022)
We generalize the dynamical analog of the Berry geometric phase setup to the quaternionic model of Avron et al. In our dynamical quaternionic system, the fast half-integer spin subsystem interacts with a slow two-degrees-of-freedom subsystem. The mod
Externí odkaz:
https://doaj.org/article/9e43f4d0948e4cfab70d39d2a76c5149
Autor:
Evguenii Sinitsyn, Boris Zhilinskii
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 3, p 046 (2007)
Qualitative features of the Manakov top are discussed for the classical and quantum versions of the problem. Energy-momentum diagram for this integrable classical problem and quantum joint spectrum of two commuting observables for associated quantum
Externí odkaz:
https://doaj.org/article/c7e5e13ef520450d8f5320330d5765f8
Group action analysis developed and applied mainly by Louis Michel to the study of N-dimensional periodic lattices is the central subject of the book. Di erent basic mathematical tools currently used for the description of lattice geometry are introd
Publikováno v:
Regular and Chaotic Dynamics. 25:424-452
Energy band rearrangement along a control parameter in isolated molecules is studied through axially symmetric Hamiltonians describing the coupling of two angular momenta $$\mathbf{S}$$ and $$\mathbf{L}$$ of fixed amplitude. We focus our attention on
Autor:
Boris Zhilinskii, Dmitrií A. Sadovskií
Publikováno v:
Symmetry; Volume 14; Issue 2; Pages: 183
We generalize the dynamical analog of the Berry geometric phase setup to the quaternionic model of Avron et al. In our dynamical quaternionic system, the fast half-integer spin subsystem interacts with a slow two-degrees-of-freedom subsystem. The mod
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c28a671c2756952b425827f8d5a5ba0e
Autor:
Toshihiro Iwai, Boris Zhilinskii
Publikováno v:
Physics Letters A. 383:1389-1395
The Dirac oscillator was initially introduced as a Dirac operator which is linear in momentum and coordinate variables. In contrast to the usual 2D Dirac oscillator, the 2D Kramers–Dirac oscillator admits the time-reversal symmetry, which is a reas
Autor:
Dmitrií A. Sadovskií, Boris Zhilinskii
Publikováno v:
Physics Letters A. 383:452-457
On the example of bending vibrational polyads of the acetylene molecule (C2H2) in the approximation of the 1 : 1 : 1 : 1 resonant oscillator with axial symmetry, whose geometry is similar to the n-shell approximation of the perturbed hydrogen atom, w
Publikováno v:
Journal of Geometric Mechanics.
We investigate the elementary rearrangements of energy bands in slow-fast one-parameter families of systems whose fast subsystem possesses a half-integer spin. Beginning with a simple case without any time-reversal symmetries, we analyze and compare
Autor:
Boris Zhilinskii, Dmitrií A. Sadovskií
Publikováno v:
Molecular Physics. 116:3564-3601
We analyse qualitatively the bending vibrational polyads of the acetylene molecule (CH) in the approximation of the resonant oscillator with axial symmetry using an effective vibrational Hamiltonia...