Energy of a Two-Dimensional Helium Atom in an Excited State

• Published in: Russian physics journal Vol. 61; no. 9; pp. 1597 - 1602
• Main Authors: Skobelev, V. V., Kopylov, S. V.
• Format: Journal Article
• Language: English
• Published: New York Springer US 01-01-2019; Springer Nature B.V
• Subjects: ATOMIC AND MOLECULAR PHYSICS; ATOMS; Condensed Matter Physics; EXCITED STATES; EXPERIMENT RESULTS; GROUND STATES; Hadrons; Heavy Ions; HELIUM; Helium atoms; Lasers; Line spectra; Mathematical and Computational Physics; Nuclear Physics; Optical Devices; Optics; PERTURBATION THEORY; Photonics; Physics; Physics and Astronomy; Theoretical; TWO-DIMENSIONAL SYSTEMS; VARIATIONAL METHODS; two-dimensional helium atom; energy
• ISSN: 1064-8887; 1573-9228
• DOI: 10.1007/s11182-018-1576-2

Using perturbation theory methods and a variational method, we have calculated the energy of a twodimensional helium atom in its lower excited states, this energy showing itself to be practically independent of the specific characteristics of these excited states; this, together with the known value of the energy in the ground state, found earlier by one of the authors, presents the fundamental possibility of determining the frequencies of the main spectral lines of such an atom, which can be checked experimentally.