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 +...
Homework Statement
The radionuclide 11C decays according to
116C → 115B + e+ + v
Show that the disintegration energy is given by
Q = (mC - mB - 2me) c2
Homework Equations
Q = (mi - mf) c2
The Attempt at a Solution
[/B]
Q= (mC - mB - me) c2
Im probably missing something obvious but I can't...
S' frame is moving at a velocity v w.r.t S frame.
Let velocity of Particle 1 = U1 in S frame and particle 2 = U2 in S frame therefore Particle 1 = U1' and particle 2 = U2' in S' Frame
Since particle 2 is at rest in S frame, its velocity in S' frame is equal to the velocity of the S' frame...
Homework Statement
A partical of mass m ha speed 0.546c relative to inertial frame S. The particle collides with an identical particle at rest in the inertial frame S. Relative to S and in terms of c, what is the speed of S' in which the total momentum of these particles is 0.
Homework...
So i would let u=x/y so then
$$ \frac{\partial z}{\partial x} = \frac{\partial z }{\partial u} \frac{\partial u }{\partial x} = \frac{f'}{y} $$
cause I'm guessing $$\frac{\partial z }{\partial u} = f'$$ or am i completely wrong?
I'm sorry, I'm just really unsure how to apply the chain rule. So is ∂z/∂t = ∂/∂x(x/y) * F' ? But I'm unsure how to find all the other ones. I have the solutions attached to this post but I have no idea how to get them.
Thank You
Mod note: Moved from the Homework section
1. Homework Statement
This might seem like a stupid question but I'm unsure what z= ƒ(x/y) means? I'm not sure how I would find ∂z/∂x , ∂z/∂y just from this statement either.
Thank you
Homework Equations
The Attempt at a Solution
Homework Statement
When an alpha particle collides elastically with a nucleus, the nucleus recoils. Suppose a 3.94 MeV alpha particle has a head-on elastic collision with a gold nucleus that is initially at rest. What is the kinetic energy of (a) the recoiling nucleus and (b) the rebounding...