We calculate the exact fragmentation functions for c and b quark fragmentation taking into account the spin orientation of the initial heavy quark in the form of analytical and rather simple expressions. Our calculations show that spin orientation may have an important effect on the fragmentation spectrum. This effect is more striking in the cases of c ?D, D*; c? ? , ? , and ?B , B *.

There exists an electron vortex solution with orbital angular momentum quantum in a non-spin-orbit coupling system which has nonconservative momentum. We discuss the spin-orbit and momentum, we can find that electrons total numbers also have beam solutions. And is expressed as entangled wave function of spin function. Taking central force field for example, this paper constructed spinor structu...