Did you know? · Science & Medicine

Max Born showed quantum waves give probabilities

In 1926 Max Born proposed that the quantum wave function gives the probability of finding a particle, the Born rule, winning a share of the 1954 Nobel Prize.

Max Born
Max Born · 1882–1970
Person
Max Born
Lived
1882–1970
Field
Quantum mechanics
From
German-British

The story

By 1926 physics had two new theories of the atom. At Göttingen, Max Born, Werner Heisenberg and Pascual Jordan had built matrix mechanics. Then Erwin Schrödinger introduced wave mechanics, describing electrons with a mathematical wave that obeyed his new equation. Many physicists found Schrödinger's version appealing because it seemed to promise a return to the continuous, deterministic world of classical physics. But what was the wave? Schrödinger suggested it might describe a smeared-out electron, an idea that did not fit the experimental facts.

Max Born, director of theoretical physics at Göttingen and born to a Jewish family in Breslau, offered a different answer in a paper on collision processes published in July 1926. The wave function, he proposed, does not describe where the particle is, but how likely it is to be found in each place: the probability is given by the square of the wave's magnitude. More generally, the rule gives the probability that any measurement on a quantum system will yield a particular result. This became known as the Born rule.

The idea broke with strict determinism. Albert Einstein, Born's close friend since their years together in Berlin, never accepted it. In a letter to Born in December 1926 he wrote that quantum mechanics was certainly imposing, but that an inner voice told him it was not yet the real thing, and that he was convinced God was not playing at dice. The two friends debated the question in letters for decades, a correspondence later published as The Born–Einstein Letters.

Born's interpretation nonetheless became the standard way physicists use quantum theory. His fellow physicists kept nominating him for the Nobel Prize, and in 1954 he shared the Nobel Prize in Physics with Walther Bothe, for his fundamental research in quantum mechanics, especially his statistical interpretation of the wave function, work he had done alone. In his Nobel lecture he called the loosening of thinking brought by such ideas the greatest blessing modern science had given.

Every prediction quantum physics makes about real experiments passes through the Born rule. It connects the abstract mathematics of the theory to what is actually observed, and it underlies the design of technologies from lasers and transistors to the qubits of quantum computers.

Why it matters

The Born rule connects quantum theory to every measurement, underpinning lasers, transistors, MRI and quantum computing.

About Max Born

Physicist who co-founded quantum mechanics and gave the wave function its probability meaning; dismissed from Göttingen by the Nazis in 1933, he won the Nobel Prize in exile in 1954.

Read the full profile
Max Born
1882–1970 · Quantum mechanics
View profile →

More about Max Born

Sources

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.

More in Science & Medicine

On kindness & the treatment of others
“A friend is devoted at all times; a brother is born to share adversity.”
Proverbs 17:17