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5.0
Jun 30, 2018
06/18
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Adolfas Dargys; Arturas Acus
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Hamiltonian and eigenstate problem is formulated for a bilayer graphene in terms of Clifford's geometric algebra \textit{Cl}$_{3,1}$. It is shown that such approach allows to perform analytical calculations in a simple way if geometrical algebra rotors are used. The measured quantities are express through spectrum and rotation half-angle of the pseudospin that appears in geometric algebra rotors. Properties of free charge carriers -- pseudospin, velocity and Berry phase -- in a bilayer graphene...
Topics: Mesoscale and Nanoscale Physics, Condensed Matter
Source: http://arxiv.org/abs/1410.2038
7
7.0
Jun 28, 2018
06/18
by
Adolfas Dargys; Arturas Acus
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A practical computation method to find the eigenvalues and eigenspinors of quantum mechanical Hamiltonian is presented. The method is based on reduction of the eigenvalue equation to well known geometric algebra rotor equation and, therefore, allows to replace the usual det(H-E)=0 quantization condition by much simple vector norm preserving requirement. In order to show how it works in practice a number of examples are worked out in Cl_{3,0} (monolayer graphene and spin in the quantum well) and...
Topics: Mathematical Physics, Mathematics
Source: http://arxiv.org/abs/1510.04056
51
51
Sep 23, 2013
09/13
by
Arturas Acus; Boris A. Malomed; Yakov Shnir
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We introduce a one-dimensional two-component system with the self-focusing cubic nonlinearity concentrated at a symmetric set of two spots. Effects of the spontaneous symmetry breaking (SSB) of localized modes were previously studied in the single-component version of this system. In this work, we study the evolution (in the configuration space of the system) and SSB scenarios for two-component modes of three generic types, as concerns the spatial symmetry of each component: symmetric-symmetric...
Source: http://arxiv.org/abs/1202.3328v1
116
116
May 24, 2017
05/17
by
Arturas Acus
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Vasaris, 2008 NuclPhysCourse.beamer.pdf Nuclear Physics Course Arturas Acus, acus@itpa.lt, Vilniaus pedagoginis universitetas, VU Teorines fizikos ir astronomijos institutas
Topics: PDF, KNYGOS
