The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble. It therefore becomes desirable that approximate practical methods of applying quantum mechanics should be developed, which can lead to an explanation of the main features of complex atomic systems without too much computation.
Interpretation
Understanding physical laws is essential, but their complexity often makes direct application difficult.
This quote by Paul Dirac emphasizes that while the fundamental laws governing physics and chemistry are well-established, the challenge lies in the application of these laws to complex systems. Dirac advocates for the development of approximate methods in quantum mechanics, which would enable scientists to simplify and understand intricate atomic behaviors without the burden of excessive calculations, thus bridging the gap between theory and practical application.
In practice
This quote can be used in a scientific presentation to highlight the challenges faced in applying complex theories.
The research worker, in his efforts to express the fundamental laws of Nature in mathematical form, should strive mainly for mathematical beauty. He should take simplicity into consideration in a subordinate way to beauty ... It often happens that the requirements of simplicity and beauty are the same, but where they clash, the latter must take precedence.
The methods of theoretical physics should be applicable to all those branches of thought in which the essential features are expressible with numbers.
One could perhaps describe the situation by saying that God is a mathematician of a very high order, and He used very advanced mathematics in constructing the universe.
It is quite clear that beauty does depend on one's culture and upbringing for certain kinds of beauty, pictures, literature, poetry and so on...But mathematical beauty is of a rather different kind. I should say perhaps it is of a completely different kind and transcends these personal factors. It is the same in all countries and at all periods of time.
It seems that if one is working from the point of view of getting beauty in one's equations, and if one has really a sound insight, one is on a sure line of progress.
There is in my opinion a great similarity between the problems provided by the mysterious behavior of the atom and those provided by the present economic paradoxes confronting the world.
If we estimate dignity by immediate usefulness, agriculture is undoubtedly the first and noblest science.
Every work of science great enough to be well remembered for a few generations affords some exemplification of the defective state of the art of reasoning of the time when it was written; and each chief step in science has been a lesson in logic.
The scientist is not a person who gives the right answers, he is one who asks the right questions.
I have a reverence for medicine because I hero-worshiped my father [a former doctor], and because I admire doctors, I admire study, empiricism and rational thought. I don't study, empiricize or think rationally myself - but I admire it in others.
The atom can't be seen, yet its existence can be proved. And it is simple to prove that it can't ever be seen. It has to be studied by indirect evidence - and the technical difficulty has been compared to asking a man who has never seen a piano to describe a piano from the sound it would make falling downstairs in the dark.
A careful analysis of the process of observation in atomic physics has shown that the subatomic particles have no meaning as isolated entities, but can only be understood as interconnections between the preparation of an experiment and the subsequent measurement.
Subscribe for the occasional hand-picked quote. No noise.