А Вы знали что уравнение Клейна-Гордона (или уравнение Клейна-Гордона-Фока) было получено впервые Шредингером?
From "Quantum mechanics. An introduction" (Greiner W.):
In December, 1925 he (Schrodinger) defined the Klein-Gordon equation
and later, in January 1926, he invented the Schrodinger equation, which describes, in nonrelativistic approximation, the atomic eigenvalues.
From http://en.wikipedia.org/wiki/Klein-Gordon_equation :
The Klein-Gordon equation was first considered as a quantum wave equation by Schrödinger in his search for an equation describing de Broglie waves. The equation is found in his notebooks from late 1925, and he appears to have prepared a manuscript applying it to the hydrogen atom. Yet, without taking into account the electron's spin, the Klein-Gordon equation predicts the hydrogen atom's fine structure incorrectly, including overestimating the overall magnitude of the splitting pattern by a factor of 4n/(2n-1) for the n-th energy level. In January 1926, Schrödinger submitted for publication instead his equation, a non-relativistic approximation that predicts the Bohr energy levels of hydrogen without fine structure.
In 1926, soon after the Schrödinger equation was introduced, Fock wrote an article about its generalization for the case of magnetic fields, where forces were dependent on velocity, and independently derived this equation.
четверг, 15 мая 2008 г.
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