I calculated the integral, however i anchieved a "weird" result. I think it was wrong, i expected an exp term. Here my result:
\phi\left(p_{x}\right)=-\left(4\Pi h \Delta x\right)^{-\frac{1}{2}}\left[\frac{1}{\frac{ip}{h}+\frac{1}{2\Delta x}}+\frac{1}{\frac{ip}{h}- \frac{1}{2\Delta x}}...
Homework Statement
Consider the wave packet \psi\left(x\right)=\Psi\left(x,t=0\right) given by \psi=Ce^{\frac{ip_{0}x}{h}-\frac{\left|x\right|}{2\Delta x} where C is a normalization constant:
(a) Normalize \psi\left(x\right) to unity
(b) Obtain the corresponding momentum space wave...
I cannot deal with arctg z in the argument of sec ( ). Its necessary to my purpose find a solution without arctg or sec ( ). However Mute's suggestion would be usefull, i ll try this one and made another attempt.
Homework Statement
I would like a detailed solution of following Integrals:
\int^{z_{2}}_{z_{1}} 1/ \left(s^{2}+z^{2}\right)^{1/2} dz
Homework Equations
1+tan^{2} \theta = sec^{2} \theta
The Attempt at a Solution
\int 1/ \left(s^{2}+z^{2}\right)^{1/2} dz = \int 1/...