Recent content by JHansen

So I just think p is the momenta. Sorry but I don't have a rigorous definition so I don't really know. But I can prove it with my argument if I assume that A,B,C,D are all real which I'm not certain they are.

That looks That looks like ##ln^2(2)##

So let's say that we have som unitary matrix, ##S##. Let that unitary matrix be the scattering matrix in quantum mechanics or the "S-matrix". Now we all know that it can be defined in the following way: $$\psi(x) = Ae^{ipx} + Be^{-ipx}, x<<0$$ and $$ \psi(x) = Ce^{ipx} + De^{-ipx}$$. Now, A and...

Do you have any ideas on how, if possible, to rewrite the series such that we can tackle it with some convergence test?

You are correct! This is right!

Hi again! I'm so sorry, I made a typo that could be very confusing, it should be "##a_n = 3 ## for n= 2 mod 4". It doesn't seem like I can edit the post. Sorry! Would this help you understand the problem better? Because I'm still lost.

Hey @jedishrfu Thanks for answering! I agree with you, I evaluated it the same way but this exercise is actually different since we have different conditions on ##a_n##. You could be right, my understanding could be wrong, I'm not certain. That's a really good question and what I'm trying to...

Hi! Some time ago I came across a series and never solved it, I tried to give a new go because I was genuinely curious how to tackle it, which I thought would work, because it looks innocent, but there is something about the beast making it hard to approach for me. So need some help! Maybe this...

Pleasure being here, I'm looking forward to exchanging ideas and helping each other and the physics community :) I have a very interesting mind-bending math question I would like to discuss soon, stay tuned ;) I'm a 1 year PhD student in AdS/CFT duality and black holes.