At the moment I'm working with a paper from Kimball A. Milton (a student of Julian Schwinger) and he uses a notation which I can't find anywhere. He wrote (page 33 eq. (4.19) http://arxiv.org/abs/1503.08091):

$$p_a(t) \cdot [q_a(t+dt)-q_a(t)]$$

He says this $\cdot$ denotes the symmetric multiplication of the $p$ and $q$ operators. But what does this mean? I can't find a definition of this dot product.

| cite | improve this question | | | | |

I would guess that he means, $$ a \cdot b = ab+ba = \{a,b\} $$ There maybe a factor of $\frac{1}{2}$ involved in the definition.

| cite | improve this answer | | | | |

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.