What Great Dirac simply did was to take the square root of
He did this simply by assuming this to be equal to square of this
which could only be solved if A, B etc. are matrices because AB= -BA and so on!
more over we can get 4 such matrices only if we go to 4 dimension. There are not enough matrices to go in lesser dimensions.
that's it - it is just a matter of finding these 4 matrices of size 4x4.
that's it - it is just a matter of finding these 4 matrices of size 4x4.
But implications are amazing - we get electron spin as well as anti - electron!
Pure beauty of mathematics!
No comments:
Post a Comment