Recent content by devoured_elysium

I had thought of that, but I can swear it is not a dagger, it is a +!. Although looking in the resolution of the exercise I'd say that in that case it is indeed a dagger. I'll give you another one: "Calculate the probability that an energy measurement yields the ground state energy; the...

The exercise is the following(note that I am not asking for a solution to the exercise, I just want to know what the + stands for!): "An operator U is said to be unitary if U^+ U = U^- U = 1. Prove that if H is hermitian, then exp(iH) is unitary" (Can't find at the moment something...

I see in a lot of places things like En+ where E stands for the energy, but I don't get what that upperscript + could be. I see both + and - in the upperscript. Thanks

Are saying that doing maths is harder just because you're using another base system opposed to the decimal? You're making a fool of yourself lol:rolleyes: :rolleyes: . That's what I've done in my first semester in my Physics Engineering course in Digital Systems, like everyone of us do! lol!

There is a moment where it effectively stops. Otherwise, how could it invert its way of motion?

Hi again Sorry but I could not follow the step X=(x, y) and why then it becomes the next equation.

it's the latter one, as you thought. thanks by the response!

Hello I'd like to know how to solve the following equation with matrix, if possible at all: d ( x^2 ) / dt^2 + w^2 x = 0 I know how to solve it without having to use a matrix, but I heard it is possible to do it with matrix. How about doing it? How is this method called? Thanks

use the search function

Thanks by your replies If I understood well, any matrix with non-zero determinant will be bijective, right? I don't quite get what you mean by domain space and range space. I know what a vector space is. Is it related to it? Thanks

Having a matrix, how can I know if the function the matrix is representing is: a) Injective b) Bijective Thanks in advance

It must be just to be a number easier to work with or something. It's not that grave IMO

Hello I'd like to know how to prove that the trace of A.A* is positive. I don't really know how to handle the imaginary part of it. If A has any complex number in it, is it possible to get traces like 10-2i? If yes, do I consider it as a positive number or negative?:zzz: Thanks in advance

ah, but you have 10 yeras of music training. i don't think he has..does he?

well learning instruments by your own is not really a good idea.. learning violin by your own is even worse, as you have to train your ear because unlike guitar you don't have frets, so everything you do has to be by ear, and ear in most people has to be very very well trained for years until...