简单说,玻尔是位哲学家,他对概念的清理最重视,显然海森堡最受玻尔的吸引,他与玻尔的不同在于除了清理概念,他还寻求数学方案,能解决问题的数学方案。
索末菲是问题驱动型的,他不在乎自相矛盾,他关心的是解决问题。而玻恩基本是个数学家,他督促海森堡找到能取代牛顿体系的量子力学的数学体系。
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Yes, I had always both these interests. I mean I was always very happy to discuss things with Bohr because Bohr would always have to make the concepts clear. On the other hand, I was also interested in these mathematical problems of quantum electrodynamics because I felt that finally you must write down a mathematical scheme which explains things. I always looked as a final aim to the mathematical scheme. And that was not perhaps what Bohr did. Bohr looked to a scheme of concepts, a number of concepts, and not a mathematical scheme — if one wants to make such a strong distinction. After all, we have spoken so much forth and back, but still I would say there is a slight difference in tendency between Bohr and myself.
I tried to put it this way in a talk which I had to give after the death of Max Born. I compared my three teachers which I have had, that was Sommerfeld, and Max Born, and Niels Bohr. And I would say: Sommerfeld he was most interested in solving problems which you could compare with experiments. He did not mind the concepts — I mean, the concepts somehow had to be all right, but he was not too much interested. And also he was not too much upset about contradictions, as in old quantum theory, there were contradictions. He wanted to do calculations and to get all correct results. And then there was Max Born who believed strongly in the existence of rigorous mathematical schemes. He was very much a mathematician, but he was not a one philosopher. He was interested...he always suggested that I must find the theory in quantum mechanics which replaces Newton's mechanics, but he did not see that in order to do that you have to derive or to apply new concepts.
And, finally, Bohr, he was a philosopher who looked for the concepts. And he said, well, first we must have our concepts right — that means actually we have to make our mind clear, and before we can do that we have no chance really to solve the problems.
So, I don't know whether I am clear enough to compare these three people.