Recent content by nista

Hi all just a question about the understanding of the solutions of a spherical potential well. What is the physical sense of solutions which have no spherical symmetry? I just would think that the probability of finding a particle whose state is described by one of the eigenstate of the...

I do not see anything I could complain about this derivation. I guessed you solved the problem. What else to say ... Many thanks lanedance! Hope you have a nice day, Cheers

Homework Statement Suppose we have a physical quantity f(r) depending on another quantity q(r). f(r) is known at all points. If the following relationship holds: Homework Equations f(r)=\int_{\Omega}q(r-r')dr' where \Omega is a bounded volume, is there any possibility to...

Sorry, I quote myself but it is just to say that I have found an article that explains many of my doubts related to this subject. To whoever is also interested this article is American Journal of Physics -- May 2004 -- Volume 72, Issue 5, pp. 676-678

Ok this is MUCH more clear to me on general grounds, thank you a lot, really. But, if I think about the chemical potential I have in mind that it is the energy required to add or remove a particle from the system. Now I have a further question: what does it mean to add an electron to a...

hello to everyone. It is normally said that in semiconductors the Fermi level is half way between the valence and the conduction band. I have the following question on that: what does it mean that the Fermi level is in the band gap? It should mean that the maximum energy of an electron in the...

Ok that was exactly what I was asking.. I think this point is quite subtle.. thanks a lot for the explanation

In many textbooks and sites of solid state physics energy levels for the free electron approximation in band calculations are displayed. The result is a collection of many parabolas, each of these parabolas being centered on a site of the reciprocal lattice. This is not anyway the picture that...

I looked with more patience to the links you have provided me. Actually no orbitals are reported as basis functions for the irrep A_2 , so I think there are really none. This situation stands similarly for the D_{3h} point group (I looked on a textbook). But as it is reported, the z...

Thanks a lot for the latex suggestions, first. I lacked the examples you provided me, thank you Gokul and Justin. Browsing on internet I actually see that C_{2v} has an irrep labelled by A_2 . Similarly the cyclopropane molecule belongs to the point group D_{3h} and has an irrep called...

Hello to everyone I'm a newcomer to the blog. I'm studying group theory and I'm dealing with irreducible representations (irreps) of C3v. Now since C3v is invariant after 6 symmetry operations I expect, as a consequence of the well known relationship g=Sum_i n^2_i (where g is the order of the...