Quantum Ripples in the Atom: A Simple Way to Account for Them ⚡ экспресс
Recent studies have extended the application of finite Gaussian basis sets to the calculation of the vacuum polarization contribution of order α(Zα)^(n≥3) for single-electron systems. Energy shifts for s- and p-states were tabulated, and convergence was studied. The problem was generalized to the multielectron case: self-consistent Hartree—Fock potentials were used for lithium-like ions. The obtained results agree well with literature data. It is shown that Gaussian basis sets are effective for atomic potentials whose Green's functions are difficult to find analytically or numerically.
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'.