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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

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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) (1997)]. Closed-form analytical expressions for multipole magnetizabilities χL, magnetic nuclear shielding constants σML→ML, the far-field magnetic-to-electric cross-susceptibilities χML→E(L∓1), and the near-field counterparts σML→E(L∓1) of the latter are derived. The formulas obtained for χL and σML→ML are much simpler than those available in the literature. We establish the relationship χML→E(L∓1)=αE(L∓1)→ML, where αE(L∓1)→ML are the multipole far-field electric-to-magnetic susceptibilities discussed in our previous paper [Szmytkowski and Łukasik, Phys. Rev. A 93, 062502 (2016)]. It is also found that when the atom is placed in superimposed weak and static electric and magnetic fields of respective multipolarities 2L1 and 2L2, such that L1=L2∓1, then the second-order correction to the ground-state energy contains an additional term entangling both fields and involving the cross-susceptibility αEL1→ML2=χML2→EL1.

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Kategoria:
Publikacja w czasopiśmie
Typ:
artykuł w czasopiśmie wyróżnionym w JCR
Opublikowano w:
PHYSICAL REVIEW A nr 98, wydanie 2, strony 1 - 22,
ISSN: 2469-9926
Język:
angielski
Rok wydania:
2018
Opis bibliograficzny:
Szmytkowski R., Łukasik G.: 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// PHYSICAL REVIEW A. -Vol. 98, iss. 2 (2018), s.1-22
DOI:
Cyfrowy identyfikator dokumentu elektronicznego (otwiera się w nowej karcie) 10.1103/physreva.98.022502
Bibliografia: test
  1. R. Szmytkowski, The Dirac-Coulomb Sturmians and the series expansion of the Dirac-Coulomb Green function: Application to the relativistic polarizability of the hydrogen-like atom, J. Phys. B 30, 825 (1997); 30, 2747(E) (1997); addendum: arXiv:physics/9902050. otwiera się w nowej karcie
  2. R. Szmytkowski, Dynamic polarizability of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the Dirac-Coulomb Green function, Phys. Rev. A 65, 012503 (2001). otwiera się w nowej karcie
  3. R. Szmytkowski, Magnetizability of the relativistic hydrogen- like atom: application of the Sturmian expansion of the first- order Dirac-Coulomb Green function, J. Phys. B 35, 1379 (2002). otwiera się w nowej karcie
  4. R. Szmytkowski and K. Mielewczyk, 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, J. Phys. B 37, 3961 (2004). otwiera się w nowej karcie
  5. K. Mielewczyk and R. Szmytkowski, Stark-induced magnetic anapole moment in the ground state of the relativistic hydro- genlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Phys. Rev. A 73, 022511 (2006); 73, 039908(E) (2006). otwiera się w nowej karcie
  6. R. Szmytkowski and P. Stefańska, Comment on "Four- component relativistic theory for NMR parameters: Unified formulation and numerical assessment of different approaches," arXiv:1102.1811.
  7. P. Stefańska and R. Szmytkowski, Electric and magnetic dipole shielding constants for the ground state of the relativistic hydrogen-like atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Int. J. Quantum Chem. 112, 1363 (2012). otwiera się w nowej karcie
  8. R. Szmytkowski and P. Stefańska, Magnetic-field-induced elec- tric quadrupole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Phys. Rev. A 85, 042502 (2012). otwiera się w nowej karcie
  9. R. Szmytkowski and P. Stefańska, Electric-field-induced mag- netic quadrupole moment in the ground state of the relativistic hydrogenlike atom: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Phys. Rev. A 89, 012501 (2014). otwiera się w nowej karcie
  10. R. Szmytkowski and G. Łukasik, Static electric multipole sus- ceptibilities of the relativistic hydrogenlike atom in the ground state: Application of the Sturmian expansion of the general- ized Dirac-Coulomb Green function, Phys. Rev. A 93, 062502 (2016). otwiera się w nowej karcie
  11. R. Szmytkowski and G. Łukasik, Static electric and magnetic multipole susceptibilities for Dirac one-electron atoms in the ground state, At. Data Nucl. Data Tables 111-112, 41 (2016). otwiera się w nowej karcie
  12. P. Stefańska, Magnetizability of the relativistic hydrogenlike atom in an arbitrary discrete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Phys. Rev. A 92, 032504 (2015). otwiera się w nowej karcie
  13. P. Stefańska, Magnetizabilities of relativistic hydrogenlike atoms in some arbitrary discrete energy eigenstates, At. Data Nucl. Data Tables 108, 193 (2016). otwiera się w nowej karcie
  14. P. Stefańska, Magnetic-field-induced electric quadrupole mo- ments for relativistic hydrogenlike atoms: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Phys. Rev. A 93, 022504 (2016). otwiera się w nowej karcie
  15. P. Stefańska, Closed-form expression for the magnetic shielding constant of the relativistic hydrogenlike atom in an arbitrary dis- crete energy eigenstate: Application of the Sturmian expansion of the generalized Dirac-Coulomb Green function, Phys. Rev. A 94, 012508 (2016). otwiera się w nowej karcie
  16. P. Stefańska, Magnetic-dipole-to-electric-quadrupole cross- susceptibilities for relativistic hydrogenlike atoms in some low- lying discrete energy eigenstates, At. Data Nucl. Data Tables 113, 316 (2017). otwiera się w nowej karcie
  17. P. Stefańska, Nuclear magnetic shielding constants of Dirac one- electron atoms in some low-lying discrete energy eigenstates, At. Data Nucl. Data Tables 120, 352 (2018). otwiera się w nowej karcie
  18. N. L. Manakov, L. P. Rapoport, and S. A. Zapryagaev, Rela- tivistic electromagnetic susceptibilities of hydrogen-like atoms, J. Phys. B 7, 1076 (1974). otwiera się w nowej karcie
  19. S. A. Zapryagaev, N. L. Manakov, and L. P. Rapoport, Multipole screening of nuclei of hydrogen-like atoms, Yad. Fiz. 19, 1136 (1974) [English translation: Sov. J. Nucl. Phys. 19, 582 (1974)].
  20. S. A. Zapryagaev, N. L. Manakov, and V. G. Pal'chikov, Theory of Multi-charged Ions with One and Two Electrons (Energoat- omizdat, Moscow, 1985) (in Russian), Secs. 4.5 and 4.6.
  21. D. A. Varshalovich, A. N. Moskalev, and V. K. Khersonskii, Quantum Theory of Angular Momentum (Nauka, Leningrad, 1975) (in Russian). otwiera się w nowej karcie
  22. R. Szmytkowski, Recurrence and differential relations for spher- ical spinors, J. Math. Chem. 42, 397 (2007). otwiera się w nowej karcie
  23. W. Magnus, F. Oberhettinger, and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, 3rd ed. (Springer, Berlin, 1966). otwiera się w nowej karcie
  24. S. A. Zapryagaev and N. L. Manakov, Application of the Green's function for the Dirac equation to study of relativistic and correlation effects in multicharged ions, Izv. Akad. Nauk SSSR Ser. Fiz. 45, 2336 (1981). otwiera się w nowej karcie
  25. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 7th ed. (Elsevier, Amsterdam, 2007). otwiera się w nowej karcie
  26. Ya. I. Granovskii and V. I. Nechet, Static effects in hydrogenlike atoms (relativistic theory), Yad. Fiz. 19, 1290 (1974) [English translation: Sov. J. Nucl. Phys. 19, 660 (1974)].
  27. L. N. Labzowsky, G. L. Klimchitskaya, and Yu. Yu. Dmitriev, Relativistic Effects in the Spectra of Atomic Systems (Institute of Physics, Bristol, 1993), Sec. 6.2.2. otwiera się w nowej karcie
  28. V. G. Pal'chikov and V. P. Shevelko, Reference Data on Multi- charged Ions (Springer, Berlin, 1995), Secs. 2.2.4a and 2.4.5a.
  29. P. J. Mohr, D. B. Newell, and B. N. Taylor, CODATA recom- mended values of the fundamental physical constants: 2014, Rev. Mod. Phys. 88, 035009 (2016); otwiera się w nowej karcie
  30. J. Phys. Chem. Ref. Data 45, 043102 (2016). otwiera się w nowej karcie
  31. A. Rutkowski and R. Kozłowski, Double perturbation approach to the relativistic hydrogenic atom in a static and uniform magnetic field, J. Phys. B 30, 1437 (1997). otwiera się w nowej karcie
  32. N. C. Pyper and Z. C. Zhang, Relativistic theory of nuclear shielding in one-electron atoms: 2. Analytical and numerical results, Mol. Phys. 97, 391 (1999). otwiera się w nowej karcie
  33. E. A. Moore, Relativistic chemical shielding: formally exact solutions for one-electron atoms of maximum total angular momentum for any principal quantum number, Mol. Phys. 97, 375 (1999). otwiera się w nowej karcie
Źródła finansowania:
  • Działalność statutowa/subwencja
Weryfikacja:
Politechnika Gdańska

wyświetlono 149 razy

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