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1. ### I Energy of a number of particles

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.
2. ### I Energy of a number of particles

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.
3. ### I Energy of a number of particles

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...
4. ### I Energy of a number of particles

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...
5. ### I Energy of a number of particles

No, it was originally a simple example to show the average energy of a certain number N of charge carriers (electrons, for example) enclosed in a box.
6. ### I Energy of a number of particles

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...
7. ### I Energy of a number of particles

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?
8. ### I Energy of a number of particles

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...