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Search results for: RELATIVISTIC EFFECTS
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RADIATION EFFECTS AND DEFECTS IN SOLIDS
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Superconductivity in Bismuth Pyrochlore Lattice Compounds RbBi2 and CsBi2: The Role of Relativistic Effects
PublicationSuperconducting properties of two bismuthide intermetallic compounds, RbBi2 and CsBi2, were studied by means of experimental measurements and ab initio calculations. We show that in both compounds, the superconductivity emerges from the pyrochlore Bi lattice and its formation is heavily influenced by relativistic effects. Based on our analysis of the effect of spin–orbit coupling on the electron–phonon coupling, we suggest a possible...
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Relativistic Bennett Brassard cryptographic scheme, relativistic errors,and how to correct them.
PublicationWprowadzono opis polaryzacji liniowej oparty o główne zerowe kierunki transformacji Lorentza. Formalizm ten został zastosowany do problemu eliminacji błędów w kryptografii kwantowej.
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Second-order Stark effect and polarizability of a relativistic two-dimensional hydrogenlike atom in the ground state
PublicationThe second-order Stark effect for a planar Dirac one-electron atom in the ground state is analyzed within the framework of the Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian series expansion of the generalized Dirac-Coulomb Green's function. A closed-form analytical expression for the static dipole polarizability of that system is found. The formula involves the generalized hypergeometric function ${}_{3}F_{2}$...
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Relativistic electron beams above thunderclouds
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Relativistic hydrodynamics on graphics processing units
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Relativistic runaway breakdown in low-frequency radio
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Ingoing and outgoing waves in the non-relativistic theory of photoionization
PublicationZastosowano rachunek zaburzeń zależny od czasu do wyprowadzenia wzoru na różniczkowy przekrój czynny na fotojonizację nierelatywistycznego kwantowego układu jednoelektronowego płaską monochromatyczną falą elektromagnetyczną. Pokazano,że pochodzenie oraz asymptotykę tzw. ''funkcji falowej stanu końcowego'', wchodzącej do tego wzoru, można wytłumaczyć bez odwoływania się do kontrowersyjnej argumentacji podanej przez Breita i Bethego.
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Using GPUs for Parallel Stencil Computations in Relativistic Hydrodynamic Simulation
PublicationThis paper explores the possibilities of using a GPU for complex 3D finite difference computation. We propose a new approach to this topic using surface memory and compare it with 3D stencil computations carried out via shared memory, which is currently considered to be the best approach. The case study was performed for the extensive computation of collisions between heavy nuclei in terms of relativistic hydrodynamics.
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Relativistic calculations of X-ray photoelectron spectra and the accuracy of the IOTC method*
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Magnetizabilities of relativistic hydrogenlike atoms in some arbitrary discrete energy eigenstates
PublicationWe present the results of numerical calculations of magnetizability of the relativistic hydrogenlike atoms. Exploiting the analytical formula for $\chi$ we have found the values of the magnetizability for the ground state and for the first and the second set of excited states of the atom. The results for ions with the atomic number $0
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Relativistic two-dimensional hydrogen-like atom in a weak magnetic field
PublicationA two-dimensional (2D) hydrogen-like atom with a relativistic Dirac electron, placed in a weak, static, uniform magnetic field perpendicular to the atomic plane, is considered. Closed forms of the first- and second-order Zeeman corrections to energy levels are calculated analytically, within the framework of the Rayleigh–Schrödinger perturbation theory, for an arbitrary electronic bound state. The second-order calculations are...
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Research report (Health Effects Institute)
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Relativistic multiconfiguration method in low-energy scattering of electrons from argon atoms
PublicationPo raz pierwszy zaprezentowano wyniki obliczeń różniczkowych przekrojów czynnych relatywistyczną wersją metody wielokonfiguracyjnej.
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Larmor diamagnetism and Van Vleck paramagnetism in relativistic quantumtheory: the Gordon decomposition approach
PublicationWe consider a charged Dirac particle bound in a scalar potential perturbed by a classical magnetic field derivable from a vector potential A(r). Using a procedure based on the Gordon decomposition of a field-induced current, we identify diamagnetic and paramagnetic contributions to the second-order perturbationtheory correction to the particle's energy. In contradiction to earlier findings, based on the sum-over-states approach,...
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Relativistic multiconfiguration method in low energy scattering of electrons from xenon atoms.
PublicationPo raz pierwszy dokonano obliczeń różniczkowych przekrojów czynnych na sprężyste rozpraszanie elektronów na atomach ksenonu przy użyciu relatywistycznej wersji metody wielokonfiguracyjnej.
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The finite-volume Dirac-Hartree-Fock method for confined relativistic many-electron systems.
PublicationRozpatrzono relatywistyczny układ N-elektronowy ograniczony w skończonej objętośći V. Ograniczenie modelowano za pomocą warunku brzegowego narzuconego na funkcję falową układu na brzegu hiperobjętości VN. Stosując przybliżenie elektronów niezależnych, z zasady wariacyjnej dla energii wyprowadzono układ równań Diraca-Hartree-Focka oraz warunki narzucone na rozwiązania tego układu na brzegu V.
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Relativistic theory of photoionization of one electron systems: an eigen channel R-matrix approach.
PublicationPrzedstawiono zastosowanie metody kanałów własnych R-macierzy do opisu procesu fotojonizacji relatywistycznych układów jednoelektronowych.
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Non-relativistic quantum scattering from non-local separable potentials: the eignchannel approach
PublicationOstatnio sformułowana wersja metody kanałów własnych [R. Szmytkowski, Ann. Phys. (N.Y.) 311, 503 (2004)] została zastosowana do kwantowego rozpraszania cząstek Schroedingera na nielokalnych potencjałach separowalnych. Wektory kanałów własnych oraz ujemne kotangensy przesunięć fazowych zostały wprowadzone jako rozwiązania własne pewnego uogólnionego macierzowego zagadnienia na wartości własne, bez konieczności uprzedniej konstrukcji...
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Journal of Long-Term Effects of Medical Implants
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Two-spinors, oscillator algebras, and qubits: aspects of manifestly covariant approach to relativistic quantum information
PublicationThe first part of the paper reviews applications of 2-spinor methods to relativistic qubits (analogies between tetrads in Minkowski space and 2-qubit states, qubits defined by means of null directions and their role for elimination of the Peres-Scudo-Terno phenomenon, advantages and disadvantages of relativistic polarization operators defined by the Pauli-Lubanski vector, manifestly covariant approach to unitary representations...
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Relationship between the static dipole polarizability and the static dipole magnetizability of the relativistic hydrogen-like atom
PublicationZnaleziono prostą liniową zależność pomiędzy statycznymi dipolowymi podatnościami: elektryczną i magnetyczną relatywistycznego atomu wodoropodobnego w stanie podstawowym.
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JMATRIX - a package for relativistic J-matrix calculations in elastic scattering of electrons from model potentials
PublicationWe present a software package JMATRIX, consisting of two computer codes written in FORTRAN 95 and parallelized with OpenMP, implementing the so-called J-matrix method, applied to elastic scattering of electrons on the radial potential, vanishing faster than Coulomb one. In the J-matrix method, physical scattering problem is replaced by using well-defined model, which is solved analytically. Presented software implements both non-relativistic...
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Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function
PublicationWe utilize the Sturmian expansion of the Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B 30, 825 (1997)] to obtain components of the dynamic dipole polarizability tensor of the relativistic hydrogenlike atom in the ground state. It is found that the tensor may be expressed in terms of two independent quantities: a scalar polarizability and a vector polarizability, the latter being of the relativistic origin. In the static...
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Birth Defects Research
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Dia- and paramagnetic contributions to magnetizabilities of relativistic hydrogenlike atoms in some low-lying discrete energy eigenstates
PublicationIn this paper we present tabulated data for relative diamagnetic and paramagentic contributions to the magnetizability ($\chi$) of the relativistic hydrogenlike atoms with a pointlike, motionless and spinless nucleus of charge $Ze$. Utilizing general analytical formulas for the diamagnetic ($\chi_{d}$) and paramagnetic ($\chi_{p}$) components of $\chi$, recently derived by us [P. Stefa{\'n}ska, 2020] with the aid of the Gordon...
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Magnetizability of the relativistic hydrogen-like atom: applicayion of the Sturmian expansion of the first-order Dirac-Coulomb Green function
PublicationStosując rozwinięcie sturmowskie funkcji Greena-Diraca-Coulomba, znaleziono wyrażenie analityczne dla magnetyzowalności relatywistycznego atomu wodoro-podobnego w stanie podstawowym.
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JOURNAL OF AEROSOL MEDICINE-DEPOSITION CLEARANCE AND EFFECTS IN THE LUNG
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Magnetic-dipole-to-electric-quadrupole cross-susceptibilities for relativistic hydrogenlike atoms in some low-lying discrete energy eigenstates
PublicationIn this paper we present tabulated data for magnetic-dipole-to-electric-quadrupole cross-susceptibilities (χ_{M1→E2}) for Dirac one-electron atoms with a pointlike, spinless and motionless nucleus of charge Ze. Numerical values of this susceptibility for the hydrogen atom (Z = 1) and for hydrogenic ions with 2 \leqslant Z \leqslant 137 are computed from the general analytical formula, recently derived by us (Stefanska, 2016), valid...
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Satellite Laser Ranging technique as a tool for the determination of the Schwarzschild, de Sitter and Lense-Thirring effects
PublicationSatellite Laser Ranging (SLR) is a modern technique used in various research areas and applications related to geodesy and geodynamics. It is commonly used for tasks such as establishing the International Terrestrial Reference Frame (ITRF), monitoring Earth Orientation Parameters (EOP), determining the geocenter, measuring fundamental physical constants, calibrating microwave tracking techniques, conducting time transfer experiments,...
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Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationThe Sturmian expansion of the generalized Dirac--Coulomb Green function [R.\/~Szmytkowski, J.\ Phys.\ B 30 (1997) 825; erratum 30 (1997) 2747] is exploited to derive a closed-form expression for the magnetizability of an arbitrary discrete state of the relativistic one-electron atom with a point-like, spinless and motionless nucleus of charge $Ze$. The result has the form of a double finite sum involving the generalized hypergeometric...
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Magnetic-field-induced electric quadrupole moments for relativistic hydrogenlike atoms: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationWe consider a Dirac one-electron atom placed in a weak, static, uniform magnetic field. We show that, to the first order in the strength of the external field, the only electric multipole moments, which are induced by the perturbation in the atom, are those of an even order. Using the Sturmian expansion of the generalized Dirac-Coulomb Green function we derive a closed-form expression for the electric quadrupole moment induced...
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Static magnetic multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationWe study far- and near-field magnetic and electric multipole moments induced in the ground state of the Dirac one-electron atom placed in a weak 2L-pole magnetostatic field. The analysis is carried out within the framework of the first-order Rayleigh-Schrödinger perturbation theory, with the use of the Sturmian expansion of the generalized Dirac-Coulomb Green function [Szmytkowski, J. Phys. B 30, 825 (1997);J. Phys. B 30, 2747(E)...
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Static electric multipole susceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationThe ground state of the Dirac one-electron atom, placed in a weak, static electric field of definite $2^{L}$ polarity, is studied within the framework of the first-order perturbation theory. The Sturmian expansion of the generalized Dirac-Coulomb Green function [R. Szmytkowski, J. Phys. B: At. Mol. Opt. Phys. 30, 825 (1997); erratum R. Szmytkowski, J. Phys. B: At. Mol. Opt. Phys. 30, 2747 (1997)] is used to derive closed-form analytical...
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Stark-induced magnetic anapole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationZnaleziono magnetyczny moment anapolowy indukowany w stanie podstawowym relatywistycznego atomu jednoelektronowego przez zewnętrzne stałe, słabe, jednorodne pole elektryczne. Podano wyrażenie analityczne dla polaryzowalności anapolowej takiego atomu. Obliczenia wykonano, stosując rozwinięcie sturmowskie uogólnionej funkcji Greena-Diraca-Coulomba.
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Gordon decomposition of the static dipole polarizability of the relativistic hydrogen-like atom: application of the Sturmian expansion of the first-order Dirac-Coulomb Green function.
PublicationWyprowadzono analityczne wyrażenie dla statycznej polaryzowalności dipolowej relatywistycznego atomu jednoelektronowego w stanie podstawowym. Dokonano rozkładu Gordona polaryzowalności. Pokazano, że polaryzowalność ma charakter czysto konwekcyjny.
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The effect of alkyl chain length on synergistic effects in micellization and surface tension reduction in nonionic gemini (S-10) and anionic surfactants mixtures
PublicationMixtures of nonionic gemini surfactant S-10 ( α, α'-[2,4,7,9-tetrametyl-5-decyne-4,7-diyl]bis[ω-hydroxy -polioxyetylene] with anionic SRS (sodium alkylsulfates) and SRSO3 (sodium alkylsulfonates) of different alkyl chain length (from 10 to 14 carbon atoms) were investigated. Surface tension measurements were used to find the cmc values and other adsorption parameters. The Clint, Rubingh’s and Rosen theories were applied for evaluation...
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The effect of sunscreen 4‐methylbenzylidene camphor in different and reproductive models, its bioaccumulation and molecular effects on ligand‐receptor interaction, and protein expression
Publication4-Methylbenzylidene camphor (4-MBC) is a photo-absorbing UV filter prevalently used in cosmetics, which can be absorbed into circulation and cause systemic effects. 4-MBC is continued to be released in the environment despite the growing knowledge about its bioaccumulation and endocrine disrupting effects. Previous reviews have mentioned UV-filter together but this review considers 4-MBC alone, due to its prevalence and concerning...
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Electric and magnetic dipole shielding constans for the ground state of the relativistic hydrogen-like atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationStosując rozwinięcie sturmowskie funkcji Greena-Diraca-Coulomba, znaleziono wyrażenie analityczne dla stałych ekranowania elektrycznego i magnetycznego relatywistycznego atomu wodoropodobnego w stanie podstawowym.
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Electric-field-induced magnetic quadrupole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationStosując rozwinięcie sturmowskie uogólnionej funkcji Greena-Diraca-Coulomba, znaleziono wyrażenie analityczne dla magnetycznego momentu kwadrupolowego, indukowanego przez zewnętrzne słabe, stałe, jednorodne pole elektryczne w stanie podstawowym relatywistycznego atomujednoelektronowego.
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Potential energy surfaces of the low-lying electronic states of the Li+LiCs system
Open Research DataThis data presents potential energy surfaces of Li atom interacting with LiCs dimer for the ground and first excited state. They were calculated using effective core potentials and MRCI method and include relativistic effects. The interatomic distance in the dimer is kept constant and equal to experimental value of 6.931704423 bohrs (3.6681 A). Energy...
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Simulation of stroboscopic effects
PublicationOmówiono zasadę pomiaru prędkości obrotowej za pomocą stroboskopu. Przedstawiono przyrządy wirtualne do symulacji efektu stroboskopowego przy pomiarze prędkości obrotowej i analizy działania częstościomierza rezonansowego.
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The Werther Effect, the Papageno Effect or No Effect? A Literature Review
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Magnetic field-induced electric quadrupole moment in the ground state of the relativistic hydrogen-like atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function
PublicationStosując rozwinięcie sturmowskie funkcji Greena-Diraca-Coulomba, znaleziono wyrażenie analityczne dla elektrycznego momentu kwadrupolowego, indukowanego przez zewnętrzne pole magnetyczne w relatywistycznym atomie wodoropodobnym w stanie podstawowym. Wykazano, że jest to efekt czysto relatywistyczny.
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Closed-form expression for the magnetic shielding constant of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac–Coulomb Green function
PublicationWe present analytical derivation of the closed-form expression for the dipole magnetic shielding constant of a Dirac one-electron atom being in an arbitrary discrete energy eigenstate. The external magnetic field, by which the atomic state is perturbed, is assumed to be weak, uniform, and time independent. With respect to the atomic nucleus we assume that it is pointlike, spinless, motionless, and of charge Ze. Calculations are...
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Dietary quercetin does not affect pituitary lutenizing hormone (LH) expression and has no uterotropic effects in ovariectomized Sprague–Dawley rats
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Potential energy curves of LiCs dimer
Open Research DataThis data presents potential energy curves of LiCs dimer in Hund's case (a). Calculated using Born-Oppenheimer approximation with scalar relativistic effects are included via large effective core potentials. Custom basis sets, core polarization potentials and MRCI method are used to accurately describe electron correlation. Dataset consists of 22 potential...
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Potential energy curves of NaRb dimer
Open Research DataThis data presents potential energy curves of NaRb dimer in Hund's case (a). Calculated using Born-Oppenheimer approximation with scalar relativistic effects are included via large effective core potentials. Core polarization potentials and MRCI method is used to describe electron correlation. Dataset consists of 18 potential energy curves of ground...
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Correlation Effects in the Moshinsky Model
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Quenching effects in organic electroluminescence
PublicationWe examine various electronic processes that underlie the quenching of the emission from highly efficient phosphorescent and electrophosphorescent organic solid-state molecular systems. As an example, we study the luminescent efficiencies from the phosphorescent iridium (III) complex, fac tris (2-phenylpyridine) iridium [(Ir (ppy)3] doped into a diamine derivative doped polycarbonate hole-transporting matrix and in the form...