Recent content by evildarklord1985

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?

but then how do you actually carry out the intergration?

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...