Recent content by droedujay

I appreciate all the help on this problem. I think I got this one down. Can you check out my other forum "QM wavefunctions" and see if you could help out there too.

I think that it has something to do with the fact that this wavefunction is orthonormal.

In order to normalize this wavefunction I would have to expand this wavefunction into an inner product of different wavefunctions. Let's say that phi(1) = sin (7*pi*x/a) and phi(2) = sin (7*pi*x/a). Then the inner product would result in either 1 or 0, but these wavefunctions would have to be...

I'm not sure how orthonormality helps with uniqueness. For second part I know that the candidate wavefunction must fit within the boundaries of the infinite well. This wavefunction: Φ(x) = sin^2 (7*pi*x/a) is the initial state, but I don't know where to go from here. The inner product is...

I found out the Coefficient expansion theorem and constructed the following wavefunction: Ψ(x,0) = 1/sqrt(2)*Φ1 + sqrt(2/5)*Φ3 + 1/sqrt(10)*Φ5 where φn = sqrt(2/a)*sin(n*pi*x/a) Is this unique why or why not? I'm thinking that it has something to do with all odd Energies. Also is...

I found out the Coefficient expansion theorem and constructed the following wavefunction: Ψ(x,0) = 1/sqrt(2)*φ1 + sqrt(2/5)*φ3 + 1/sqrt(10)*φ5 where φn = sqrt(2/a)*sin(n*pi*x/a) Is this unique why or why not? I'm thinking that it has something to do with all odd Energies.

I found out the Coefficient expansion theorem and constructed the following wavefunction: Ψ(x,0) = 1/sqrt(2)*φ1 + sqrt(2/5)*φ3 + 1/sqrt(10)*φ5 where φn = sqrt(2/a)*sin(n*pi*x/a) Is this unique why or why not? I'm thinking that it has something to do with all odd Energies.

I looked but I could not find anything on probabilities of obtaining Energies. I know about psi star psi being the probability of finding a particle in a specific region but I do not have any material on probability of obtaining Energies.

General 1-D Time independent Schrodingers equation sqrt(2/a)*sin(n*pi*x/a)

What is the full name of that Textbook that you guys talking about

Does anyone know how to construct a Time-independent wave function with given energies and probability on obtaining energies.

Homework Statement Construct wavefunction with given energies and probabilities of obtaining energies in a 1-D box from 0 to aHomework Equations [b]3. The Attempt at a Solution I know the general form of a time-independent wavefunction but I don't know what to do with the probabilities of...