Analytical results for the motion of a Rydberg electron around a polar molecule: effects of a magnetic field of the arbitrary strength

Oks, Eugene

doi:10.1140/epjd/s10053-021-00286-2

Cited by 1 publication

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“…In Section 3, the same system from Section 2 was analyzed under a magnetic field parallel or antiparallel to the electric dipole, so that the axial symmetry was preserved. The analytical results were derived in paper [10] for the arbitrary strength of the magnetic field.…”

Section: Discussionmentioning

confidence: 99%

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Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations

Oks

2021

Symmetry

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We review classical studies of the oscillatory-precessional motion of an electron in the field of an electric dipole (the latter representing the polar molecule) with or without external magnetic or electric fields. The focus is on the most recent studies. In one study (at zero external field), it was shown that, generally, the oscillations being in the meridional direction and the precession being along parallels of latitude can take place on the same time scale—contrary to the statement from the previous literature. In another study, it was shown that a magnetic field enables new ranges of the bound oscillatory-precessional motion of the Rydberg electron and that in one of the new ranges, the period of the θ-oscillations has the non-monotonic dependence on primary parameter of the system. This is a counterintuitive result. In yet another study, it was shown that under the electric field there are two equilibrium circular states of a positive energy and one equilibrium state of a negative energy. The existence of the equilibrium state of the negative energy is a counterintuitive result since at the absence of the field, the bound state was possible only for the zero energy. Thus, it is a counterintuitive result that in this case the electric field can play the role of a stabilizing factor.

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Section: Discussionmentioning

confidence: 99%

“…Table 1 presents the scaled period T θ (in units of mr 4 /(2eD)) of the x-motion versus the parameter K in the negative range of K. It is a counterintuitive result that the period of the x-motion depends on K non-monotonically. Further details on the effects of the magnetic field on this system can be found in paper [10].…”

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confidence: 99%

Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations

Oks

2021

Symmetry

View full text Add to dashboard Cite

show abstract

Analytical results for the motion of a Rydberg electron around a polar molecule: effects of a magnetic field of the arbitrary strength

Cited by 1 publication

References 6 publications

Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations

Review of Classical Analytical Results for the Motion of a Rydberg Electron around a Polar Molecule under Magnetic or Electric Fields of Arbitrary Strengths in Axially Symmetric Configurations

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