Zobrazeno 1 - 10
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pro vyhledávání: '"Rusin, Tomasz M."'
Autor:
Rusin, Tomasz M.
The Coulomb Green's function (GF) for non-relativistic charged particle in field of attractive Coulomb force is extended to describe the interaction of two non-relativistic electrons through repulsive Coulomb forces. Closed-form expressions for the G
Externí odkaz:
http://arxiv.org/abs/2310.16366
Autor:
Rusin, Tomasz M., Zawadzki, Wlodek
Publikováno v:
Phys. Rev. A 103, 052221 (2021)
The Pauli Exclusion Operator (PEO) which ensures proper symmetry of the eigenstates of multi-electron systems with respect to exchange of each pair of electrons is introduced. Once PEO is added to the Hamiltonian, no additional constraints on multi-e
Externí odkaz:
http://arxiv.org/abs/2101.03445
Autor:
Rusin, Tomasz M., Zawadzki, Wlodek
Publikováno v:
Phys. Rev. B 101, 205201 (2020)
The Green's function~(GF) of two localized magnetic moments embedded in the electron gas is calculated exactly. The electrons are treated in the effective mass approximation and the magnetic moments are coupled with electrons by a delta-like~$s-d$ in
Externí odkaz:
http://arxiv.org/abs/2001.09813
Akademický článek
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Autor:
Rusin, Tomasz M., Zawadzki, Wlodek
Publikováno v:
Phys. Rev. B 97, 205410 (2018)
Friedel oscillations (FO) of electron density caused by a delta-like neutral impurity in two-dimensional (2D) systems in a magnetic field are calculated. Three 2D cases are considered: free electron gas, monolayer graphene and group-VI dichalcogenide
Externí odkaz:
http://arxiv.org/abs/1802.03585
Autor:
Rusin, Tomasz M., Zawadzki, Wlodek
The effect of strong singularity in the calculation of range function for the RKKY interaction in 1D electron gas is discussed. The method of handling this singularity is presented. A possible way of avoiding the singularity in the Ruderman-Kittel pe
Externí odkaz:
http://arxiv.org/abs/1701.06198
Autor:
Rusin, Tomasz M, Zawadzki, Wlodek
Closed expression for the Green's function of the stationary two-dimensional Schrodinger equation for an electron in group-VI dichalcogenides in the presence of a magnetic field is obtained in terms of the Whittaker functions. The resulting Green's f
Externí odkaz:
http://arxiv.org/abs/1612.03944
Autor:
Rusin, Tomasz M.
Publikováno v:
Phys. Rev. A 94, 012117 (2016)
A single-step Eriksen transformation of~$1S_{1/2}$,~$2P_{1/2}$ and~$2P_{3/2}$ states of the relativistic hydrogen-like atom is performed exactly by expressing each transformed function (TF) as a linear combination of eigenstates of the Dirac Hamilton
Externí odkaz:
http://arxiv.org/abs/1604.02478
Autor:
Rusin, Tomasz M., Zawadzki, Wlodek
Publikováno v:
Semicond. Sci. Technol. {\bf 29}, 125010 (2014)
The phenomenon of Zitterbewegung (ZB, trembling motion) of electrons is described in zigzag carbon nanotubes (CNT) excited by laser pulses. The tight binding approach is used for the band structure of CNT and the effect of light is introduced by the
Externí odkaz:
http://arxiv.org/abs/1404.6187