I am doing a poster next week at an international conference, and it is my very first. The only other time I did a poster was after a undergrad summer program, and it was kind of low-key. Now, the thing is, the project is far from done. Part of the reason for that is that I was working on...
How do you write out the potential of an ion in a Penning trap? Specifically, how does the inter-ionic Coulomb interaction come to be written as a Green's function? I found it here : http://journals.aps.org/rmp/pdf/10.1103/RevModPhys.71.87
They do say something about interactions with image...
The general wave function is built of a linear combination of the eigenfunctions. When you do this, the exponential time-dependent phases do not cancel out. When he shows that the normalization remains constant in time, he shows it for a general wave function that is a solution of just the...
Hi everybody!
I have been asked by the astronomy group at my campus to do one of a series of talks on basic astrophysics, on the quantum perspective in astrophysics. Basically I am to fill in gaps, cover the pre-requisites for others. We plan to have one session each on basic observational...
Just a small technical detail but the wave function, being governed by the potential field,should describe a system(as potential energy is always mutual to a system).So the correct statement is that the wave function describes the electron-proton system in the Coulomb interaction.Actually the...
Supposing a physical quantity f whose operator commutes with the Hamiltonian operator H, and supposing it has no explicit time dependence, then the result regarding the time derivative of the operators gives us that the quantity is conserved and its mean value does not change with time.The...
Well I am extremely sorry if you got me wrong.I am actually reading this paper that scoops this result out of Morse Feshbach and I had no means to see how the result was arrived at.I said it involves summation of three special functions because that is how I thought it should be done.If I had...
Thank you but you know I already have the result.I do not know how to get there however.Yes it is exactly what I am looking for but I think I would require a bit more.
I am looking for the derivation to an approximation formula for the differential cross section for hard sphere scattering in the limit of high energy. The paper that mentioned this had referred to Methods of Theoretical Physics, PM Morse and H. Feshbach page 1484 but I have no access to the...
The proof automatically generalizes to complex ψ because the real and complex parts of the wave function must separately go to zero at ±∞ while satisfying the condition of signs you talk about so well separately.So it should hold.An interesting thing to note probably is that this is true only...
You are right.The sines and cosines aren't traveling wave solutions to the Schrodinger equation(while they may be traveling wave solutions to the string equation).Only the exponential should work and this is reflected similarly in the Bessel and Hankel functions.
So I was reading the Landau Lifgarbagez book on non-relativistic quantum mechanics and ran into this quasi-classical approximation they use at various points in the book.They have argued with an analogy that in the classical limit, the phase of the wave function will be proportional to the...
Yes I am talking about the Bessel functions of the third kind.They are actually two independent linear combinations of the Bessel and the Neumann functions.
The boundary conditions, or rather the physical requirement of the situation is that the solution to the ODE represent outward traveling...