Recent content by frankcastle

thanks turin, I understand the problem well. My question is regarding the relation of the coefficients, A and B; with the respective intensities. Since R=1 at x=a, I would immediately assume that B=A instead of having to use Boundary conditions to find coefficients. Would this be correct logic?

Homework Statement The description of the potential distribution is given in the attached image. The particle arrives from the left with E>V0. write the solutions to the S.E in regions x<o and x between o and a Homework Equations I believe psi(x)= e^ikx+Re^-ikx in x<0 and...

Homework Statement write the solutions to the S.E in regions x<o and x between o and a C:\Users\karthik\Desktop Homework Equations I believe psi(x)= e^ikx+Re^-ikx in x<0 and psi(x)=Ae^iqx+Be^-iqx for x b/w o and a. The Attempt at a Solution My question is, since there is...

no, in the case that there is another square potential barrier of infinite height to the left of the delta function, say at the origin of the X axis, how will that affect the treatment of this problem?

I understand what you are saying, one question about delta potentials, can VoDel(x-a) be written as VoaDel(x)? also in the integrals, wouldn't the limits be a-e and a+e ? Also I don't understand how to get the second set of boundary conditions, do I use the last equation you have...

What if there is an infinite wall to the left of a single delta function Vdel(x-a) How will the treatment change as compared to a simple delta function alone? I obtained one set of boundary conditions by equating wave function on either side of the delta step. I think the other set can be...

Oh this isn't an assignment problem, I found it in some text while I was preparing for some QM coursework. I have not come across the single potential question though. Will it act as an infinite wall? But since the thickness is negligible there must be some flux leakage right?

The solution for part 1 makes sense, but why must the wave function be zero in the square potential region? If tunneling is possible for E<V then transmission must occur for E=V too I think

Homework Statement Hey, I found this interesting case in the tunneling problem. How do we calculate the transmission probability when the energy of the approaching particle is equal to the height of the potential barrier? I.e E=Vo. Homework Equations Same equations as in other...

Homework Statement particle of mass m is subjected to antisymmetric delta-function potential V(x) =V'Delta(x+a)-V'Delta(x-a) where V'>0 Show that there is only one bound state, and find its energy Homework Equations Assuming free particle eqn for x<-a for particle incident from -ve...