Es muy interesante lo que comentaba Dirac en el anterior post, sobre las ideas de Hamilton, y la no conmutatividad que encontraba como fundamental en el trabajo de Heisenberg. Leo:
I was working on this subject quite independently from Heisenberg after getting his initial idea. Heisenberg continued to work on it. He was collaborating with other people in Gottingen. There was his Professor, Born, and another young research student, Jordan, in particular. I expect they were a great help to him in overcoming his fears. The result was that the Gottingen School also made rapid progress in developing the basic ideas of quantum mechanics. We published our work independently at about the same time. If you look up these early papers you will see that there is quite a difference in our styles, because in my work the noncommutation was the dominant idea. With the Gottingen School, the dominant ideas was the use of quantities closely connected with experimental results and the noncommutation appeared as secondary and derived. But still, with these different points of view, there was not any real discrepancy and we both achieved the same essential results.
El trío Heisenberg/Born/Jordan publicó dos "papers" con resultados similares a los del primer "paper" famoso de Dirac. Pero éste buscaba más la belleza matemática, que el uso de variables experimentales. Y por ese tiempo, comienzos de 1926, comienzan a publicarse los "papers" de Schrödinger. No con sus primeras ideas, como vemos:
There was another form of quantum mechanics which was discovered quite independently by Schrodinger. He was following some different ideas and had his own difficulties. His ideas were based on a remarkable connection between waves and particles which had been discovered a little earlier by De Broglie. This connection of De Broglie's was very beautiful mathematically and was in agreement with the theory of relativity. It was very mysterious, but because of its mathematical beauty one felt that there must be some deep connection between the waves and the particles illustrated by this mathematics.
De nuevo, Dirac hace hincapié en el tema de la belleza de una teoría.
De Broglie's ideas applied to free electrons and Schrodinger was faced with the problem of modifying De Broglie's equation to make it apply to an electron moving in a field, in particular, to make it apply to electrons in atoms. After working on this for some time, Schrodinger was able to arrive at an equation, a very neat and beautiful equation, which seemed to be correct from a general point of view.
Of course, it was necessary then to apply it, to see if it would work in practice. He applied it to the problem of the electron in the hydrogen atom and worked out the spectrum of hydrogen. The result that he got was not in agreement with experiment. That was most disappointing to Schrodinger. It was an example of a research worker who is hot on the trail and finding all his worst fears realized. A theory which was so beautiful, so promising, just did not work out in practice.
El problema de Schrödinger fue que intentó desde el principio alcanzar una teoría relativista, compatible con la relatividad. No publicó sus resultados, y al parecer, la principal fuente de esta historia es el propio Dirac, a quien Schrödinger personalmente informó años después de sus desventuras.
Angel "Java" Lopez