Recent content by abcs22

So, I approach this problem the same, regardless this < sign? It confuses me because it says than when x is + or -L/2, the potential is infinite, hence wave function is zero. How is it right to put those boundaries once the integral is solved?

That is what I'm saying. I don't know how to put boundaries since I can't use -L/2 and L/2. In all the other examples I've had, the <= and >= signs were where the potential isn't infinite, as it is in the general infinite square well problem.

Yes, but which boundaries to use then when integrating? Is the perturbed Hamiltonian correct?

Homework Statement I have the particle in the infinite square well and need to calculate the first order correction energy and the wave function. L is the width and the potential is: 1/2 mw2x2 in the -L/2 < x < L/2 and infinity in x <= -L/2 and x>=L/2 Homework Equations H'=H-H0[/B] The...

Thank you! I got the first ones: I2,1> =√3/2 I1/2,1/2> + 1/2 I3/2,-1/2> Is that ok? I tried applying lowering again on this expression but didn't get the solution. How do I know where to use the operator next?

Homework Statement So i have to calculate the Clebsch-gordan coefficients for the state j1=3/2 and j2=1/2[/B]Homework Equations Recursiom formula, lowering and uppering operator[/B]The Attempt at a Solution I have tried to calculate the first set of the coefficients stating that: L- l2,2> =...

Yes, I did, I apologize, English is not my mother language. I tried but I can't get those two terms on the right side

1. Homework Statement prove the following statement: Hello, can someone help me prove this statement A is hermitian and {|Ψi>} is a full set of functions Homework Equations Σ<r|A|s> <s|B|c>[/B]The Attempt at a Solution Since the right term of the equation reminds of the standard deviation, I...

I don't understand how you got i<1l1><2l2> and also, what to do with that scalar a in front of the bracket

Thank you very much for your reply. I know the formula for the matrix element but have problem working it out with this notation. I was trying to find examples which include this notation, but without any luck.

Homework Statement Vectors I1> and I2> create the orthonormal basis. Operator O is: O=a(I1><1I-I2><2I+iI1><2I-iI2><1I), where a is a real number. Find the matrix representation of the operator in the basis I1>,I2>. Find eigenvalues and eigenvectors of the operator. Check if the eigenvectors are...