Paul Dirac
Paul Dirac
Paul Adrien Maurice Dirac OM FRSwas an English theoretical physicist who made fundamental contributions to the early development of both quantum mechanics and quantum electrodynamics. He was the Lucasian Professor of Mathematics at the University of Cambridge, a member of the Center for Theoretical Studies, University of Miami, and spent the last decade of his life at Florida State University...
ProfessionScientist
Date of Birth8 August 1902
research liable dominant
Hopes are always accompanied by fears, and, in scientific research, the fears are liable to become dominant.
giving mathematics deals
A great deal of my work is just playing with equations and seeing what they give.
good-luck mathematical-equations interesting
A good deal of my research in physics has consisted in not setting out to solve some particular problem, but simply examining mathematical equations of a kind that physicists use and trying to fit them together in an interesting way, regardless of any application that the work may have. It is simply a search for pretty mathematics. It may turn out later to have an application. Then one has good luck. At age 78.
science understanding equations
I consider that I understand an equation when I can predict the properties of its solutions, without actually solving it.
sunday ideas long
I found the best ideas usually came, not when one was actively striving for them, but when one was in a more relaxed state… I used to take long solitary walks on Sundays, during which I tended to review the current situation in a leisurely way. Such occasions often proved fruitful, even though (or perhaps, because) the primary purpose of the walk was relaxation and not research.
successful discovery needs
It was not until some weeks later that I realized there is no need to restrict oneself to 2 by 2 matrices. One could go on to 4 by 4 matrices, and the problem is then easily soluable. In retrospect, it seems strange that one can be so much held up over such an elementary point. The resulting wave equation for the electron turned out to be very successful. It led to correct values for the spin and the magnetic moment. This was quite unexpected. The work all followed from a study of pretty mathematics, without any thought being given to these physical properties of the electron.
humble loss hands
If you are receptive and humble, mathematics will lead you by the hand. Again and again, when I have been at a loss how to proceed, I have just had to wait until I have felt the mathematics led me by the hand. It has led me along an unexpected path, a path where new vistas open up, a path leading to new territory, where one can set up a base of operations, from which one can survey the surroundings and plan future progress.
law effort simplicity
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.
reality religion atheism
If we are honest - and scientists have to be - we must admit that religion is a jumble of false assertions, with no basis in reality.
greatness ideas research
The measure of greatness in a scientific idea is the extent to which it stimulates thought and opens up new lines of research.
progress units scientific-progress
Scientific progress is measured in units of courage, not intelligence.
data ugly fit
A theory with mathematical beauty is more likely to be correct than an ugly one that fits some experimental data.
law too-much chemistry
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.
math limits fields
Mathematics is the tool specially suited for dealing with abstract concepts of any kind and there is no limit to its power in this field.