Recent content by Mr_Allod

I think you're right on both counts. I suppose if I had paid more attention to the figure I would have realized I'm using the wrong origin. Integrating from ##0## to ##d_{x,z}## gives the right answer. With regards to the area of integration, I think I was just forcing the solution to be in line...

Hello there, I am given a diagram of a Josephson Junction like so: With a magnetic field ##B = \mu_oH## in the z-direction. I'm reasonably sure ##d_x,d_y,d_z## are normal lengths, not infinitesimal lengths although that is up for debate. Using the above equations I rearrange the expression...

Thank you for the answer, I've had a very hard time finding a straight answer to this question anywhere so it's nice to have something to go on.

Hello there, for the above question I have no issue finding the term symbols but I am a little unsure about employing Hund's rules to the electron configuration, particularly those referring to the energies based on the total angular momentum J. These state: - In a less than ##\frac12##-filled...

Hello there, I am trying to solve the above and I'm thinking that the solutions will be Hermite polynomials multiplied by a decaying exponential, much like the standard harmonic oscillator problem. The new Hamiltonian would be like so: $$H = - \frac \hbar {2m} \frac {d^2}{dx^2}\psi + \frac...

After having done the calculations I'm not sure whether I followed the right approach. What I have: $$P = \int_0^R \int_0^\pi \int_0^{2\pi} \frac {1}{\pi a_0^3}\exp \left [ \frac {-2r}{a_0}\right ] r^2\sin(\theta) drd\theta d\phi = \frac {4}{a_0^3}\int_0^R r^2\exp \left [ \frac...

So the original range ##0 < r < R## then? For the electronic system I thought I would just use the mass of the electron since ##\mu \approx m_e##. Since a pion has a much greater mass than an electron I suppose I should use the reduced mass for the pionic system.

Hello, I am trying to figure out the right way to approach this. First of all, other than the different Bohr radius value, does the change to a negative pion make any other difference to calculating the probability? Also what would be the correct way to apply the "small volume"? What I'm...

Hello there, I believe here I need to find the capacitance of the junction between the P-doped gate and N-channel. Then I could find the RC time constant although I am not sure if there's something more I need to find the speed of the JFET? What I'm unsure of is the depletion width h to use...

So taking the junction to be N+/P I found ##V_{bi} \approx 0.82 V ##. Since ##x_p N_{Al} = x_n N_D## gives me that ##x_p = 5000 x_n## I made the assumption that the depletion width extends almost exclusively into the lightly doped region. Then the depletion width under bias is: $$W = \sqrt...

I see your point. I've done the calculation and at zero applied voltage the depletion layer is much less than 2 ##\mu m## in the N+/P case so you were right on the money. Would I be right in thinking that if the depletion region reaches the P+ region (say under high enough reverse bias...

My gut tells me it would be the two highly doped regions. But if that's the case what kind of effect would a lightly doped region (or even an intrinsic one) have on the properties of a PN junction?

For a normal PN junction I would try to find $V_{bi}$ by integrating the carrier density (eg. the electrons n) from one region to the other: $$\int_{n_{p0}}^{n} \frac {dn}{n} = \frac {q}{kT}\int_{V_p}^{V_n} dV$$ Which would yield: $$V_{bi}=V_n-V_p=\frac...

Hello there, I have derived the expressions for electric field and potential to be the ones above, then for continuity at ##x = 0## I set the electric fields and potentials to be equal to yield the expressions: $$Sx_p^2 = Kx_n^2$$ $$V_{bi} = V_n - V_p = \frac {q}{3\epsilon} \left( Sx_p^3 +...

I am trying to analyse the dynamics of a cluster of 79 atoms. The system can be described with: ##\omega^2 \vec x = \tilde D\vec x## Where ##\omega^2## (the eigenvalues) are the squares of the vibration frequencies for each mode of motion, ##\tilde D## is the "dynamical matrix" which is a...