Wyniki wyszukiwania dla: FUNKCJA GREENA-DIRACA-COULOMBA

• 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

  Publikacja

  • K. Mielewczyk
  • R. Szmytkowski

  - PHYSICAL REVIEW A - Rok 2006

  Znaleziono 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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• Simplified Dirac--Coulomb Equations

  Publikacja

  • G. Pestka
  • Ł. Syrocki
  • Ł. Syrocki

  - ACTA PHYSICA POLONICA B - Rok 2018

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• Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function

  Publikacja

  • R. Szmytkowski

  - PHYSICAL REVIEW A - Rok 2002

  We 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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• Magnetizability of the relativistic hydrogen-like atom: applicayion of the Sturmian expansion of the first-order Dirac-Coulomb Green function

  Publikacja

  • R. Szmytkowski

  - JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS - Rok 2002

  Stosując rozwinięcie sturmowskie funkcji Greena-Diraca-Coulomba, znaleziono wyrażenie analityczne dla magnetyzowalności relatywistycznego atomu wodoro-podobnego w stanie podstawowym.

• Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function

  Publikacja

  • P. Stefańska-Ptaszek

  - PHYSICAL REVIEW A - Rok 2015

  The 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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• GREEN CHEMISTRY

  Czasopisma

  ISSN: 1463-9262 , eISSN: 1463-9270

• Acceleration of the discrete Green's function computations

  Publikacja

  • T. Stefański

  - Rok 2012

  Results of the acceleration of the 3-D discrete Green's function (DGF) computations on the multicore processor are presented. The code was developed in the multiple precision arithmetic with use of the OpenMP parallel programming interface. As a result, the speedup factor of three orders of magnitude compared to the previous implementation was obtained thus applicability of the DGF in FDTD simulations was significantly improved.

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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

  Publikacja

  • P. Stefańska-Ptaszek

  - PHYSICAL REVIEW A - Rok 2016

  We 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

  Publikacja

  • R. Szmytkowski
  • G. Łukasik

  - PHYSICAL REVIEW A - Rok 2018

  We 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

  Publikacja

  • R. Szmytkowski
  • G. Łukasik

  - PHYSICAL REVIEW A - Rok 2016

  The 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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