Advanced Relativistic Energy Approach in Spectroscopy …
25
50. Khetselius OY (2009) Relativistic perturbation theory calculation of the hyperfine structure
parameters for some heavy-element isotopes. Int J Quant Chem 109:3330–3335
51. Khetselius OY (2009) Relativistic calculation of the hyperfine structure parameters for heavy
elements and laser detection of the heavy isotopes. Phys Scr 135:014023
52. Glushkov AV, Khetselius OY, Gurnitskaya EP, Loboda AV, Sukharev DE (2009) Relativistic
quantum chemistry of heavy ions and hadronic atomic systems: spectra and energy shifts.
Theory and applications of computational chemistry. AIP Conf Proc 1102:168–171
53. Khetselius OY (2012) Quantum geometry: new approach to quantization of the quasistationary
states of Dirac equation for super heavy ion and calculating hyper fine structure parameters.
Proc Intern Geom Center 5(3–4):39–45
54. Quinet P, Argante C, Fivet V et al (2007) Atomic data for radioactive elements Ra I, Ra II, Ac
I and Ac II and application to their detection in HD 101065 and HR 465. Astrophys Astron
474:307–314
55. Biémont E, Fivet V, Quinet P (2004) Relativistic Hartree-Fock and Dirac-Fock atomic structure calculations in Fr-like ions Ra+, Ac2+, Th3+ and U5+. J Phys B: At Mol Opt Phys
37:4193–4204
56. Froese Fischer C, Tachiev G (2004) Breit-Pauli energy levels, lifetimes, and transition
probabilities for the beryllium-like to neon-like sequences. Atom Data Nucl Data Tables 87:1
57. Sapirstein J, Cheng KT (2005) Calculation of radiative corrections to E1 matrix elements in
the neutral alkali metals. Phys Rev A 71:022503
58. Glushkov AV, Svinarenko AA, Khetselius OY, Buyadzhi VV, Florko TA, Shakhman AN
(2015) Relativistic quantum chemistry: An advanced approach to the construction of the
Green function of the Dirac equation with complex energy and mean-field nuclear potential. In:
Nascimento M, Maruani J, Brändas E, Delgado-Barrio G (eds) Frontiers in Quantum Methods
and Applications in Chemistry and Physics. Series: Progress in Theoretical Chemistry and
Physics, vol 29. Springer, Cham, pp197–217
59. Yerokhin V, Artemyev AN, Shabaev VM (2007) QED treatment of electron correlation in
Li-like ions. Phys Rev A 75:062501
60. Khetselius OY, Florko TA, Svinarenko AA, Tkach TB (2013) Radiative and collisional spectroscopy of hyperfine lines of the Li-like heavy ions and Tl atom in an atmosphere of inert
gas. Phys Scr T 153:014037
61. Kohn W, Sham LJ (1965) Self-consistent equations including exchange and correlation effects.
Phys Rev A 140:1133
62. Hohenberg P, Kohn W (1964) Inhomogeneous electron gas. Phys Rev B 136:864
63. Buyadzhi VV, Zaichko PA, Antoshkina OA, Kulakli TA, Prepelitsa GP, Ternovsky VB,
Mansarliysky VF (2017) Computing of radiation parameters for atoms and multicharged
ions within relativistic energy approach: advanced Code. J Phys: Conf Ser 905:012003
64. Ternovsky EV, Buyadzhi VV, Tsudik AV, Svinarenko AA (2018) Relativistic calculation of
Rydberg autoionization states parameters in spectrum of barium. Photoelectronics 27:34–43
65. Rao J, Liu W, Li B (1994) Theoretical complex Stark energies of hydrogen by a complexscaling plus B-spline approach. Phys Rev A 50:1916–1919
66. Rao J, Li B (1995) Resonances of the hydrogen atom in strong parallel magnetic and electric
fields. Phys Rev A 51:4526–4530
67. Meng H-Y, Zhang Y-X, Kang S et al (2008) Theoretical complex Stark energies of lithium
by a complex scaling plus the B-spline approach. J Phys B: At Mol Opt Phys 41:155003
68. Brändas E, Froelich P (1977) Continuum orbitals, complex scaling problem, and the extended
virial theorem. Phys Rev A 16(6):2207–2210
69. Rittby M, Elander N, Brändas E (1981) Weyl’s theory and the complex-rotation method
applied to phenomena associated with a continuous spectrum. Phys Rev A 24(3):1636–1639
70. Froelich P, Davidson ER, Brändas E (1983) Error estimates for complex eigenvalues of dilated
Schrödinger operators. Phys Rev A 28(5):2641–2645
71. Lipkin N, Moiseyev N, Brändas E (1989) Resonances by the exterior-scaling method within
the framework of the finite-basis-set approximation. Phys Rev A 40(2):549–553
25
50. Khetselius OY (2009) Relativistic perturbation theory calculation of the hyperfine structure
parameters for some heavy-element isotopes. Int J Quant Chem 109:3330–3335
51. Khetselius OY (2009) Relativistic calculation of the hyperfine structure parameters for heavy
elements and laser detection of the heavy isotopes. Phys Scr 135:014023
52. Glushkov AV, Khetselius OY, Gurnitskaya EP, Loboda AV, Sukharev DE (2009) Relativistic
quantum chemistry of heavy ions and hadronic atomic systems: spectra and energy shifts.
Theory and applications of computational chemistry. AIP Conf Proc 1102:168–171
53. Khetselius OY (2012) Quantum geometry: new approach to quantization of the quasistationary
states of Dirac equation for super heavy ion and calculating hyper fine structure parameters.
Proc Intern Geom Center 5(3–4):39–45
54. Quinet P, Argante C, Fivet V et al (2007) Atomic data for radioactive elements Ra I, Ra II, Ac
I and Ac II and application to their detection in HD 101065 and HR 465. Astrophys Astron
474:307–314
55. Biémont E, Fivet V, Quinet P (2004) Relativistic Hartree-Fock and Dirac-Fock atomic structure calculations in Fr-like ions Ra+, Ac2+, Th3+ and U5+. J Phys B: At Mol Opt Phys
37:4193–4204
56. Froese Fischer C, Tachiev G (2004) Breit-Pauli energy levels, lifetimes, and transition
probabilities for the beryllium-like to neon-like sequences. Atom Data Nucl Data Tables 87:1
57. Sapirstein J, Cheng KT (2005) Calculation of radiative corrections to E1 matrix elements in
the neutral alkali metals. Phys Rev A 71:022503
58. Glushkov AV, Svinarenko AA, Khetselius OY, Buyadzhi VV, Florko TA, Shakhman AN
(2015) Relativistic quantum chemistry: An advanced approach to the construction of the
Green function of the Dirac equation with complex energy and mean-field nuclear potential. In:
Nascimento M, Maruani J, Brändas E, Delgado-Barrio G (eds) Frontiers in Quantum Methods
and Applications in Chemistry and Physics. Series: Progress in Theoretical Chemistry and
Physics, vol 29. Springer, Cham, pp197–217
59. Yerokhin V, Artemyev AN, Shabaev VM (2007) QED treatment of electron correlation in
Li-like ions. Phys Rev A 75:062501
60. Khetselius OY, Florko TA, Svinarenko AA, Tkach TB (2013) Radiative and collisional spectroscopy of hyperfine lines of the Li-like heavy ions and Tl atom in an atmosphere of inert
gas. Phys Scr T 153:014037
61. Kohn W, Sham LJ (1965) Self-consistent equations including exchange and correlation effects.
Phys Rev A 140:1133
62. Hohenberg P, Kohn W (1964) Inhomogeneous electron gas. Phys Rev B 136:864
63. Buyadzhi VV, Zaichko PA, Antoshkina OA, Kulakli TA, Prepelitsa GP, Ternovsky VB,
Mansarliysky VF (2017) Computing of radiation parameters for atoms and multicharged
ions within relativistic energy approach: advanced Code. J Phys: Conf Ser 905:012003
64. Ternovsky EV, Buyadzhi VV, Tsudik AV, Svinarenko AA (2018) Relativistic calculation of
Rydberg autoionization states parameters in spectrum of barium. Photoelectronics 27:34–43
65. Rao J, Liu W, Li B (1994) Theoretical complex Stark energies of hydrogen by a complexscaling plus B-spline approach. Phys Rev A 50:1916–1919
66. Rao J, Li B (1995) Resonances of the hydrogen atom in strong parallel magnetic and electric
fields. Phys Rev A 51:4526–4530
67. Meng H-Y, Zhang Y-X, Kang S et al (2008) Theoretical complex Stark energies of lithium
by a complex scaling plus the B-spline approach. J Phys B: At Mol Opt Phys 41:155003
68. Brändas E, Froelich P (1977) Continuum orbitals, complex scaling problem, and the extended
virial theorem. Phys Rev A 16(6):2207–2210
69. Rittby M, Elander N, Brändas E (1981) Weyl’s theory and the complex-rotation method
applied to phenomena associated with a continuous spectrum. Phys Rev A 24(3):1636–1639
70. Froelich P, Davidson ER, Brändas E (1983) Error estimates for complex eigenvalues of dilated
Schrödinger operators. Phys Rev A 28(5):2641–2645
71. Lipkin N, Moiseyev N, Brändas E (1989) Resonances by the exterior-scaling method within
the framework of the finite-basis-set approximation. Phys Rev A 40(2):549–553