sorry i don't think i encountered any kinds of problem like this in the course...this is a bonus homework of my professor to toture us for Spring break...anyway, what kind of calculation can you do to calculate the overlapping probability you mentioned?
so, how do i go from what i had to get the solution? I'm confused...how do you actually calculate the probability of finding a particle in its certain state of energy level? All I know is probability of finding the particle in a region of the box...
oh ok...so with this expression of k , I can write the energy level equation as :
E= n^2 * h^2 / 16m a^2...but the question asks about finding the probability of finding the particle. Isn't the total probability just 1 in the whole space?
so, the harmonic wave function can be written as : N H(y) exp(-1/2 alpha x^2) . With the mentioned boundary condition, do I get N*H(y) = 0 ...how would I go from here on to solve the problem?
sorry...i thought of using the same method we normally do for particle-in-the-box problem, where psi(x) = A sin(kx) + B cos(kx) . Then, using boundary condition of psi(x)=0 at x=0 , and x=2a...
From, psi(0) = 0, B =0
From , psi(2a) =0 ; I got : A sin(2ka) = 0
So, 2ka = n * pi
or, k =...
My first thought about this problem is trying to set up a boundary condition for the wavefunction. For 0<x<A, the wavefunction takes the form of simple harmonic oscillators, i.e. N exp(-1/2 alpha x^2) . With boundary condition where psi(x) = 0 at x=0, I'm stuck with the expression of N=0. Maybe...
Quantum mechanics- help!?
An innitely deep one-dimensional potential well runs from x = 0 to x = a. Let a particle be placed in the
ground state corresponding to this system. Then, within innitly short time, expand the potential well so that it now runs from x = 0 to x = 2a. If the energy of...
I have troubles to do this one problem dealing with particle-on-a-ring,
Suppose we have a wavefunction as,
g(phi) = cos(phi) + 2 sin(2phi)
First, normalize the function g(phi). By inspection, or otherwise, write g(phi) as a linear combination of eigenfunction of Lz. State what possible...
I'm asking you guys for serious help in these homework for Engineering physics.
1) Protons having a kinetic energy of 5.00 Me are moving in the positive x direction and enter a magnetic field B = 0.050k (T) directed out of the plane of the page and extending from x=0 to x=1.0 m . Calculate...