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Hans Bethe cracked the Lamb shift on a train

In 1947, on a train to Schenectady, Hans Bethe calculated the Lamb shift, showing quantum electrodynamics could work and opening modern particle physics.

Hans Bethe
Hans Bethe · 1906–2005
Person
Hans Bethe
Lived
1906–2005
Field
Theoretical physics
From
German-born American

The story

In June 1947 leading American physicists met at the Ram's Head Inn on Shelter Island, New York, for the first major physics conference after the Second World War. Sponsored by the National Academy of Sciences, it was a chance to pick up where they had left off before the war and set the direction of new research. Hans Bethe, back at Cornell after leading the Theoretical Division at Los Alamos, was among them.

The talk of the meeting was a new measurement by Willis Lamb and his graduate student Robert Retherford. They had found that one of two energy levels of the hydrogen atom, which Paul Dirac's theory said should be identical, sat slightly higher than the other. The effect became known as the Lamb shift. Explaining it was a serious problem, because quantum electrodynamics, the theory of light and matter, gave infinite answers for such effects. Hans Kramers had suggested a remedy called renormalisation, but nobody knew how to carry out the calculation, and many thought a radical new theory would be needed.

Bethe worked it out on the train from New York to Schenectady, where he was doing work for General Electric. He realised that the main part of the effect could be treated without relativity, which greatly simplified the problem. The infinite part was already contained in the observed mass of the electron and could be removed, leaving a finite answer. He arrived at a value of about 1040 megahertz, extremely close to the figure Lamb and Retherford had measured.

His paper, published in the Physical Review in August 1947, was only three pages long and contained just twelve equations, but it was enormously influential. It showed that the existing theory could be rescued rather than replaced. Richard Feynman called it the most important discovery in the history of the theory of quantum electrodynamics, and Paul Dirac called it the most important calculation in physics for decades.

Bethe's result opened the way for the full theory of quantum electrodynamics developed over the following years by Julian Schwinger, Richard Feynman, Sin-Itiro Tomonaga and Freeman Dyson, one of Bethe's own former students. The Nobel Foundation later wrote that Bethe had laid the foundation for the modern development of quantum electrodynamics.

Why it matters

Bethe's calculation launched the modern era of particle physics, whose precision theories underpin technologies from lasers to semiconductors.

About Hans Bethe

Refugee physicist who explained how the stars shine, led theory at Los Alamos, cracked the Lamb shift and spent half a century campaigning against the nuclear arms race; Nobel Prize 1967.

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Hans Bethe
1906–2005 · Theoretical physics
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Another act of tikkun olam. This is part of tikkun olam, the Jewish idea of repairing the world, and every one of us can add to it.

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