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Quantum Ripples in the Atom: A Simple Way to Account for Them ⚡ экспресс

Original: "Wichmann-Kroll vacuum polarization correction to lithium-like systems in a Gaussian basis set"
· Haisum Hayat, Harry M. Quiney
arXiv:2604.23660 · 2026-04-26 · CC BY · ⏱ 1 min · Atomic Physics Quantum Physics
Using simple mathematical forms, scientists have for the first time accurately accounted for the influence of quantum fluctuations on electrons in highly charged ions.
Abstract

The quantum void seethes with particles: this alters the orbits of electrons in an atom. Previously, such calculations were done only for a single electron. Now scientists have learned to accurately compute this energy shift for systems with multiple electrons, like accounting for the ripples from all swimmers in a pool. Could this make atomic clocks even more precise?

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Quantum vacuum resembles a sea, constantly rippling with tiny splashes. An electron in an atom moves in this sea, and its path slightly changes due to the waves. Previously, such corrections were accurately calculated only for hydrogen-like ions with a single electron. But in highly charged ions with several electrons, the picture becomes more complex. Scientists found a way out: instead of complicated formulas, they described the nuclear and electron field with a set of smooth bell-shaped waves. This technique, long known in spectroscopy, was applied for the first time to the effect discovered by Paul Dirac and described by Richard Feynman. The results matched previous estimates, confirming the method's reliability. Surprisingly, Dirac himself initially considered such vacuum ripples to be merely a mathematical abstraction, until precise experiments proved their reality. Today, knowledge of these tiny shifts is essential for ultrastable atomic clocks and testing the standard model to its limits.

🎯 The energy shift due to vacuum polarization in the hydrogen atom is so small that it is equivalent to a change in the distance between the electron and the nucleus of just one hundredth of the proton's size.

🎬 Harvesting energy from the quantum ripples of the vacuum is a popular sci-fi trope, as in Arthur C. Clarke's novel 'The City and the Stars'.

Scientists
Christian DopplerD. B. McLaughlinDidier QuelozMichel MayorR. A. RossiterEmmy Noether
Tags
Standard Model spectroscopy hydrogen
Laws
Doppler effectNoether's theoremCoulomb's lawMaxwell's equationsPlanck's lawPlanck–Einstein relation
Original: arXiv:2604.23660 · CC BY · bridge42worlds