I copied it from some photocopies. Moreover, I have compared the equation with another guy's notes and it is the same. So I am sure that the equation is the same as in the original, and yes, it is about the matter I needed.
I have it by way of notes. I just suppose that these notes are based on an Italian textbook, which I have not found in Amazon. It deals with Quantum Mechanics in order to deal with laser and optic signals transmission.
Ok and thank you. It was just an attempt. I will spend some time to exactly report the notes I have, by translating them and reporting all the words. At the end of the post, I wrote my questions.
Energy of a system of particles
Suppose that a certain volume V contains N electrons. Let's...
I trust in your statements, but I can't immediately see that the summed wavefunction is not a solution of that equation. This is a first issue.
A second issue is: what if we considered N not as the number of the particles, but something like the number of the possible states of a single particle...
Yes, it is certainly neglected to simplify the problem, with no interaction between particles.
I forgot to say that the system (the box with the particles inside) is in the stationary state. Each particle has a stable behaviour with a well-defined wavefunction and a well-defined time dependance...
I read it in the notes I found. The entire computation is made through the use of such a ##\psi##. I can understand your doubt. If you should solve the same problem, how could you suggest to proceed instead?
Hello!
It is sometimes useful to find the average energy of a certain number N of particles contained in a box of volume V.
In order to find this quantity, the total energy is required and then divided by N. The result is
E_{average} = \displaystyle \frac{1}{N} \sum_{n = 1}^{N} \left| a_n...