How to Derive This Four-Component Expression?

[ercagpince]

Homework Statement

I need to take the derivative of this expression explicitly

Homework Equations

$$\partial_{\mu}Ae^{(-i/\hbar)x\bullet p}u(p)$$

The Attempt at a Solution

I tried to take the derivative of it by taking the derivatives of components of the momentum four vector "p".
However, I got stuck while trying to recombine the expression left from derivation.

 

[pam]

Homework Statement

I need to take the derivative of this expression explicitly

Homework Equations

$$\partial_{\mu}Ae^{(-i/\hbar)x\bullet p}u(p)$$

The Attempt at a Solution

I tried to take the derivative of it by taking the derivatives of components of the momentum four vector "p".
However, I got stuck while trying to recombine the expression left from derivation.

$$\partial_{\mu}Ae^{(-i/\hbar)x\bullet p}u(p)<br /> =Ae^{(-i/\hbar)x\bullet p}u(p)[-i\hbar\partial_{\mu}(x^{\nu}p_{\nu})]$$,
which should be easy.

 

[ercagpince]

thanks a lot!