The isoelectronic and isoprotonic energy hypersurface and the topology of the nuclear charge space

2009 ◽  
Vol 20 (S15) ◽  
pp. 279-285 ◽  
Author(s):  
Paul G. Mezey
Keyword(s):  
Nuclear Charge ◽  
Charge Space ◽  
Energy Hypersurface

scholarly journals Hartree–Fock critical nuclear charge in two-electron atoms

2021 ◽  
Vol 154 (11) ◽  
pp. 111103
Author(s):  
Hugh G. A. Burton
Keyword(s):  
Nuclear Charge ◽  
Hartree Fock

scholarly journals Circular Rydberg states of helium atoms or helium-like ions in a high-frequency laser field

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 11-17
Author(s):  
Nikolay Kryukov ◽  
Eugene Oks
Keyword(s):  
High Frequency ◽  
Laser Field ◽  
Nuclear Charge ◽  
Rydberg States ◽  
Orbital Plane ◽  
Precession Frequency ◽  
Nonmonotonic Dependence ◽  
Absolute Value ◽  
Rydberg Electron ◽  
Frequency Laser

Abstract In the literature, there were studies of Rydberg states of hydrogenic atoms/ions in a high-frequency laser field. It was shown that the motion of the Rydberg electron is analogous to the motion of a satellite around an oblate planet (for a linearly polarized laser field) or around a (fictitious) prolate planet (for a circularly polarized laser field): it exhibits two kinds of precession – one of them is the precession within the orbital plane and another one is the precession of the orbital plane. In this study, we study a helium atom or a helium-like ion with one of the two electrons in a Rydberg state, the system being under a high-frequency laser field. For obtaining analytical results, we use the generalized method of the effective potentials. We find two primary effects of the high-frequency laser field on circular Rydberg states. The first effect is the precession of the orbital plane of the Rydberg electron. We calculate analytically the precession frequency and show that it differs from the case of a hydrogenic atom/ion. In the radiation spectrum, this precession would manifest as satellites separated from the spectral line at the Kepler frequency by multiples of the precession frequency. The second effect is a shift of the energy of the Rydberg electron, also calculated analytically. We find that the absolute value of the shift increases monotonically as the unperturbed binding energy of the Rydberg electron increases. We also find that the shift has a nonmonotonic dependence on the nuclear charge Z: as Z increases, the absolute value of the shift first increases, then reaches a maximum, and then decreases. The nonmonotonic dependence of the laser field-caused energy shift on the nuclear charge is a counterintuitive result.

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