Spectroscopy of Rydberg Atomic Systems
in a Black-Body Radiation Field
Alexander V. Glushkov, Valentin B. Ternovsky, Anna A. Kuznetsova
and Andrey V. Tsudik
Abstract It is presented a consistent relativistic approach to calculation of the
energy, spectroscopic, radiation decay (excitation, ionization) characteristics of the
Rydberg atomic systems in a Black-body radiation field. The approach is based on
an advanced relativistic energy approach (in a single-electron approximation realization) and formalism of the relativistic many-body perturbation theory with the zeroth
density functional approximation. The key features of the approach are connected
with an accurate treatment of the complex exchange-correlation effects (interelectron
polarization interaction through the Fermi sea, continuum pressure, the non-Coulomb
grouping of levels in the heavy Rydberg spectra and others) and application of the
optimized bases of relativistic wave functions, and correspondingly, fulfilling the
principle of gauge invariance in calculation of the radiative decay characteristics. As
illustration, we present the results of calculation of the spectroscopic characteristics
(ionization rate, effective lifetime values etc.) for sodium Rydberg atoms in a Blackbody radiation field for different states and temperatures. The obtained spectroscopic
data are compared with available experimental and alternative theoretical results.
Keywords Rydberg atomic systems · Black-body radiation excitation and
ionization · Relativistic quantum theory · Energy approach · Many-body
exchange-correlation effects · Atomic core polarization effect
1 Introduction
At the present time, the study of Rydberg atoms (molecules) is definitely one of the
most popular and very interesting directions of modern quantum physics and chemistry, atomic optics and spectroscopy. The huge relevance of the investigation of the
energy and spectral properties of the Rydberg atoms (molecules) is, of course, due to
the standard requirements for spectroscopic information of a number of applications
and related physical disciplines, which include physics and chemistry of laboratory,
astrophysical plasma, astrophysics and radioastronomy, atomic and molecular optics
A. V. Glushkov · V. B. Ternovsky (B) · A. A. Kuznetsova · A. V. Tsudik
Odessa State Environmental University, L’vovskaya str., bld. 15, Odessa 65016, Ukraine
© Springer Nature Switzerland AG 2020
L. Mammino et al. (eds.), Advances in Quantum Systems in Chemistry,
Physics, and Biology, Progress in Theoretical Chemistry and Physics 32,
https://doi.org/10.1007/978-3-030-34941-7_3
51
in a Black-Body Radiation Field
Alexander V. Glushkov, Valentin B. Ternovsky, Anna A. Kuznetsova
and Andrey V. Tsudik
Abstract It is presented a consistent relativistic approach to calculation of the
energy, spectroscopic, radiation decay (excitation, ionization) characteristics of the
Rydberg atomic systems in a Black-body radiation field. The approach is based on
an advanced relativistic energy approach (in a single-electron approximation realization) and formalism of the relativistic many-body perturbation theory with the zeroth
density functional approximation. The key features of the approach are connected
with an accurate treatment of the complex exchange-correlation effects (interelectron
polarization interaction through the Fermi sea, continuum pressure, the non-Coulomb
grouping of levels in the heavy Rydberg spectra and others) and application of the
optimized bases of relativistic wave functions, and correspondingly, fulfilling the
principle of gauge invariance in calculation of the radiative decay characteristics. As
illustration, we present the results of calculation of the spectroscopic characteristics
(ionization rate, effective lifetime values etc.) for sodium Rydberg atoms in a Blackbody radiation field for different states and temperatures. The obtained spectroscopic
data are compared with available experimental and alternative theoretical results.
Keywords Rydberg atomic systems · Black-body radiation excitation and
ionization · Relativistic quantum theory · Energy approach · Many-body
exchange-correlation effects · Atomic core polarization effect
1 Introduction
At the present time, the study of Rydberg atoms (molecules) is definitely one of the
most popular and very interesting directions of modern quantum physics and chemistry, atomic optics and spectroscopy. The huge relevance of the investigation of the
energy and spectral properties of the Rydberg atoms (molecules) is, of course, due to
the standard requirements for spectroscopic information of a number of applications
and related physical disciplines, which include physics and chemistry of laboratory,
astrophysical plasma, astrophysics and radioastronomy, atomic and molecular optics
A. V. Glushkov · V. B. Ternovsky (B) · A. A. Kuznetsova · A. V. Tsudik
Odessa State Environmental University, L’vovskaya str., bld. 15, Odessa 65016, Ukraine
© Springer Nature Switzerland AG 2020
L. Mammino et al. (eds.), Advances in Quantum Systems in Chemistry,
Physics, and Biology, Progress in Theoretical Chemistry and Physics 32,
https://doi.org/10.1007/978-3-030-34941-7_3
51