The calculations encourage us to believe that using energy approach combined
with the relativistic many-body PT with the optimal one-electron basis is quite
consistent and effective tool from the point of view of the theory correctness and
results exactness. This fact was surely confirmed by other calculations of the
oscillator strengths, radiative widths, hyperfine structure constants for atoms and
multicharged ions (see Refs. [28–30, 49–54]).
To conclude, we have presented an effective quantum approach in
electron-collisional spectroscopy of the multicharged ions in plasmas to compute
the cross sections and other characteristics of the elementary collisional processes.
It is based on the generalized relativistic energy approach and relativistic optimized
many-body PT with the Debye shielding model Hamiltonian for electron-nuclear
and electron-electron systems. The optimized one-electron representation in the PT
zeroth approximation is constructed by means of the correct treating the gauge
dependent multielectron contribution of the lowest PT corrections to the radiation
widths of atomic levels. It is important to note that an approach is universal and,
generally speaking, can be applied to quantum systems of other nature (see, for
example, [57–66] and Refs. therein). Its application is especially perspective when
the experimental information about corresponding properties and systems is very
scarce. We have presented the illustrative results of studying spectra of some
multicharged ions (Be-and Ne-like ions) in plasmas and computing the electron-ion
collision strengths, cross-sections etc. The obtained data can be used in different
applications, namely, astrophysical analysis, laboratory, thermonuclear plasmas
diagnostics, fusion research, laser physics, quantum electronics etc.
Acknowledgements The authors are very much thankful to Prof. Jean Maruani and Prof. Alex
Wang for invitation to make contributions on the QSCP-XXI workshop (Vancouver, Canada). The
useful comments of the anonymous referees are very much acknowledged too.
References
1. Oks E (2010) In: Oks E, Dalimier E, Stamm R, Stehle C, Gonzalez MA (eds) Spectral line
shapes in plasmas and gases. Int J Spectr 1:852581
2. Griem HR (1974) Spectral line broadening by plasmas. Academic Press, New York
3. Ivanova EP (2011) Phys Rev A 84:043829
4. Ivanova EP, Grant IP (1998) J Phys B Mol Opt Phys 31:2871; Ivanova EP, Zinoviev NA
(2001) Phys Lett A 274:239
5. Khetselius OYu (2011) Quantum structure of electroweak interaction in heavy finite
fermi-systems. Astroprint, Odessa
6. Glushkov AV (1991) Opt Spectrosc 70:555
7. Malinovskaya SV, Glushkov AV, Khetselius OYu, Svinarenko AA, Mischenko EV,
Florko TA (2009) Int J Quant Chem 109(14):3325
8. Glushkov AV, Loboda AV, Gurnitskaya EP, Svinarenko AA (2009) Phys Scripta
T135:014022
9. Glushkov AV, Khetselius OYu, Svinarenko AA (2013) Phys Scripta T153:014029
10. Svinarenko AA (2014) J Phys Conf Ser 548:012039
66
A. V. Glushkov et al.
with the relativistic many-body PT with the optimal one-electron basis is quite
consistent and effective tool from the point of view of the theory correctness and
results exactness. This fact was surely confirmed by other calculations of the
oscillator strengths, radiative widths, hyperfine structure constants for atoms and
multicharged ions (see Refs. [28–30, 49–54]).
To conclude, we have presented an effective quantum approach in
electron-collisional spectroscopy of the multicharged ions in plasmas to compute
the cross sections and other characteristics of the elementary collisional processes.
It is based on the generalized relativistic energy approach and relativistic optimized
many-body PT with the Debye shielding model Hamiltonian for electron-nuclear
and electron-electron systems. The optimized one-electron representation in the PT
zeroth approximation is constructed by means of the correct treating the gauge
dependent multielectron contribution of the lowest PT corrections to the radiation
widths of atomic levels. It is important to note that an approach is universal and,
generally speaking, can be applied to quantum systems of other nature (see, for
example, [57–66] and Refs. therein). Its application is especially perspective when
the experimental information about corresponding properties and systems is very
scarce. We have presented the illustrative results of studying spectra of some
multicharged ions (Be-and Ne-like ions) in plasmas and computing the electron-ion
collision strengths, cross-sections etc. The obtained data can be used in different
applications, namely, astrophysical analysis, laboratory, thermonuclear plasmas
diagnostics, fusion research, laser physics, quantum electronics etc.
Acknowledgements The authors are very much thankful to Prof. Jean Maruani and Prof. Alex
Wang for invitation to make contributions on the QSCP-XXI workshop (Vancouver, Canada). The
useful comments of the anonymous referees are very much acknowledged too.
References
1. Oks E (2010) In: Oks E, Dalimier E, Stamm R, Stehle C, Gonzalez MA (eds) Spectral line
shapes in plasmas and gases. Int J Spectr 1:852581
2. Griem HR (1974) Spectral line broadening by plasmas. Academic Press, New York
3. Ivanova EP (2011) Phys Rev A 84:043829
4. Ivanova EP, Grant IP (1998) J Phys B Mol Opt Phys 31:2871; Ivanova EP, Zinoviev NA
(2001) Phys Lett A 274:239
5. Khetselius OYu (2011) Quantum structure of electroweak interaction in heavy finite
fermi-systems. Astroprint, Odessa
6. Glushkov AV (1991) Opt Spectrosc 70:555
7. Malinovskaya SV, Glushkov AV, Khetselius OYu, Svinarenko AA, Mischenko EV,
Florko TA (2009) Int J Quant Chem 109(14):3325
8. Glushkov AV, Loboda AV, Gurnitskaya EP, Svinarenko AA (2009) Phys Scripta
T135:014022
9. Glushkov AV, Khetselius OYu, Svinarenko AA (2013) Phys Scripta T153:014029
10. Svinarenko AA (2014) J Phys Conf Ser 548:012039
66
A. V. Glushkov et al.