Quantum - Planck's Paper Of 1900, Einstein's Light Quantum, Neils Bohr And The "old Quantum Theory"
physics psi function relativity
The German physicist Max Planck (1858–1947) introduced the quantum of action h (Planck's constant) into physics in his successful theory of blackbody radiation in 1900 and thus started quantum theory, one of several revolutionary discoveries that occurred in physics at the turn of the twentieth century. Others were Albert Einstein's (1879–1955) special theory of relativity, his theory of the light quantum, and the experimental proof of the existence of atoms and molecules, based on Einstein's theory of Brownian motion, all published in the single year 1905. These theories and the general theory of relativity distinguish modern physics from the classical physics that was dominant in 1900.
The desire to formulate physics in terms of observable quantities motivated Einstein's special theory of relativity, which eliminated the unobservable ether assumed by James Clerk Maxwell (1831–1879) and his followers. The "new quantum theory" of the 1920s was also supposed to be a theory of observables, as it eliminated the visualizable orbits of the "old quantum theory" that preceded it, but the new version introduced concepts such as Erwin Schrödinger's (1887–1961) wave function (psi-function) that involves the imaginary number i 1. Quantum mechanics and quantum field theory employ other mathematical concepts that are far from the observable realm.
While other developments of modern physics, such as relativity, can be seen as generalizing classical physics, quantum mechanics makes a much stronger break with the past. Even the basic notion of measurement is problematic in quantum theory. One of its consequences is a fundamental indeterminacy that prevents, for example, the simultaneous determination of the position and momentum of a particle. That brings into question the entire epistemology on which classical physics is based. The psi-function of an atom, for example, is the solution of a differential equation that is linear in the time variable, and once given, psi is determined for all time. The psi-function thus provides a deterministic description of the system, but from this complete description one can predict with certainty the outcome of only special "compatible" measurements; for most measurements, only the probability of a given result can be calculated.
The implications of quantum theory are so profound that even its creators, such as Planck and Einstein, found it difficult to accept and wrestled with its concepts all their lives. Skeptical physicists devised ways to avoid the apparent contradictions, and these proposals have led to experimental tests. All of the tests performed so far have confirmed the predictions of quantum theory, although its laws are subject to differing physical interpretations.
Additional Topics
As the nineteenth century drew to a close, many physicists felt that the fundamental laws of physics were well understood, and would be a permanent part of humanity's worldview. Although new experimental results, such as the recent discoveries of X-rays, radioactivity, and the electron, could modify the view of the microworld, it was felt that classical mechanics, electromagnetism, thermody…
In deriving his blackbody formula Planck assumed the complete validity of classical electromagnetism and, not having any theory of atomic structure, used the fact that the radiation was independent of the material of the radiator to assume that it would be sufficient to consider the cavity walls as modeled by a collection of simple harmonic oscillators, each capable of absorbing and emitting a par…
In the same year (1922) in which Einstein was awarded the Nobel Prize, largely for his explanation of the photoelectric effect, the Danish physicist Niels Bohr (1885–1962) received the same recognition for his quantum theory of the structure of atoms and their radiations, first put forward in 1913. Before Bohr, the quantum of action had been associated with heat radiation and light. It had …
From 1925 to 1927 three equivalent new versions of quantum mechanics were proposed that extended the Bohr-Sommerfeld theory, cured its main difficulties, and produced an entirely novel view of the microworld. These new theories were the matrix mechanics of Werner Heisenberg (1901–1976), the wave mechanics of Erwin Schrödinger (1887–1951), and the transformation theory of Paul A.…
One of the striking consequences of the quantum theory is the noncommutation of pairs of "operators" representing physical quantities, such as position and momentum (whether regarded as matrices, derivatives acting upon the psi-function or, as Dirac would put it, abstract algebraic quantities). If p and q are two such operators, their commutation relations read: p q − q p = h/…
The effects of relativity are large when the speed of a particle approaches that of light or, equivalently, when its energy is an appreciable fraction of its rest energy mc2. This occurs in atomic physics only in the inner shells of heavier elements and plays a relatively minor role even in the physics of atomic nuclei. However, in treating such problems as the scattering of X-rays and gamma rays …
Although the quantum theory began with the study of radiation, it took more than two decades before the electromagnetic field itself was quantized. The results obtained before 1928 used semiclassical approaches such as Bohr's correspondence principle. Dirac first made a fully quantum theory of electrons interacting with photons in 1927. Heisenberg, Pauli, and later Fermi, extended the theor…
Bell, J. S. Speakable and Unspeakable in Quantum Mechanics: Collected Papers on Quantum Philosophy. 2nd ed. Cambridge, U.K., and New York: Cambridge University Press, 1993. On hidden variables, the measurement problem, and so on. Cassidy, David C. Uncertainty: The Life and Science of Werner Heisenberg. New York: W. H. Freeman, 1991. Cushing, James T. Quantum Mechanics: Historical Contingency and t…
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