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BKS theory

physical science Maturity 9-11 Next article →

The Bohr–Kramers–Slater (BKS) theory was a major attempt to explain how matter and electromagnetic radiation interact. It was developed in 1924 by physicists Niels Bohr, Hendrik Kramers, and John C. Slater. This theory was part of the "old quantum theory." This was a period when scientists tried to apply quantum rules to classical behavior. The BKS theory was less a complete physical theory and more a research program. Its main goal was to protect the classical wave description of light. Specifically, it sought to disprove Albert Einstein's hypothesis of the light quantum, or photon.

The theory relied on a complex mechanism involving virtual oscillators. Slater proposed that atoms contain these oscillators at specific absorption and emission frequencies. These oscillators are not real, physical moving parts within the atom. Instead, they are mathematical models used to describe atomic behavior. When electromagnetic radiation hits an atom, these virtual oscillators create a classical field. This field consists of spherical waves that can explain interference patterns. The probability of an atom emitting or absorbing a photon depends on the amplitude of this field. This approach attempted to reconcile the wave model of light with the particle model of radiation.

A very provocative part of the BKS theory involved the laws of conservation. In classical physics, energy and momentum are conserved in every single interaction. However, the BKS theory suggested these laws were only conserved statistically. This meant that energy and momentum would be conserved on average across many events. In any individual interaction, energy or momentum might appear to be lost or gained. Bohr and Kramers were willing to accept this statistical violation to save the wave theory of light. They hoped to avoid the photon hypothesis by reinterpreting conservation as a probabilistic principle.

The origins of the theory trace back to ideas from John C. Slater. While staying in Copenhagen, Slater proposed elements that Bohr and Kramers then developed. Slater wanted to bridge the gap between conflicting models of radiation. He suggested that oscillators vibrate at the frequency differences of electron rotations. This idea was meant to solve problems in Bohr's existing atomic model. The theory also drew inspiration from Max Planck's earlier views. Planck had suggested that virtual oscillators existed in black bodies to handle quantum interactions.

Despite its ambition, the BKS theory faced immediate scientific resistance. Wolfgang Pauli was a famous critic of the theory. He mockingly referred to it as the "Copenhagen putsch." Other scientists pointed to the Compton effect as evidence against it. In 1923, Arthur Compton showed that energy and momentum are conserved in individual scattering events. This suggested that light indeed behaves like discrete particles, or photons. The BKS paper even noted that it was difficult to reject the statistical interpretation at the time. This statement likely encouraged physicists to test the theory more rigorously.

The theory was eventually disproved by experimental evidence. In 1925, coincidence methods were used to study individual scattering processes. Walther Bothe and Hans Geiger performed the Bothe–Geiger coincidence experiment. They also studied the correlations between emitted radiation and the recoil of electrons. Their results showed that energy and momentum are conserved in every single interaction. This directly contradicted the statistical conservation required by BKS theory. For this experimental work, Walther Bothe won the Nobel Prize in Physics in 1954.

Even though the BKS theory was incorrect, it was highly significant for science. It acted as a stepping stone toward modern quantum mechanics. The mathematical explorations it inspired led Max Born, Werner Heisenberg, and Hendrik Kramers to develop matrix mechanics. This was the first formal version of modern quantum theory. Bohr also learned a vital lesson from the theory's failure. He realized that classical concepts of space and time have limits in the quantum domain. This realization helped him develop the principle of complementarity. Thus, a failed theory helped build the foundations of how we understand the universe today.

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