Thank you. Do you by any chance know any way to solve that integral by hand? I solved it on mathematica and it gave me ##P=e^\frac{-{k_{0}}^{2}\hbar}{4mw}## but I have no idea how to solve it by hand. Thanks again.
Ah right. So would this be the probability of the system still being in the ground state?
##\left | \int_{-\infty}^{\infty} \psi_{0} \psi_{0} e^{ik_{o}x}dx\right |^2=P##
Homework Statement
An interaction occurs so that an instantaneous force acts on a particle imparting a momentum ## p_{0} = \hbar k_{0}## to the ground state SHO wave function. Find the probability that the system is still in its ground state.
Homework Equations
##\psi _{0} =\left(...
Homework Statement
Find the Fourier spectrum of the following equation
Homework Equations
##F(\omega)=\pi[\delta(\omega - \omega _0)+\delta(\omega +\omega_0)]##
The Attempt at a Solution
Would the Fourier spectrum just be two spikes at ##+\omega _0## and ##-\omega _0## which go up to infinity?
I used a factor of sin (x) because the change in the y axis * mg is equal to total potential energy
y = r sin (theta) when changing between polar and cartesian coordinates
Is this the wrong way to think about it?
Homework Statement
Determine the maximum kinetic energy of a uniform rod of mass 0.5Kg and length 0.75 that has an angular displacement of 5 degrees.
Homework Equations
y = rsin (x) where x is the angular displacement
The Attempt at a Solution
Using conservation of energy ETotal = EMech +...