Pauli Definition and 229 Threads

Pauli Exclusion Principle--question According to the Pauli Exclusion Principle, two identical FERMIONS cannot coexist in the same energy level within a nucleus. My question is, could two identical fermions coexist if they had opposite isospin, that is, does isospin make the two otherwise...

hey all, posted this before but no one managed to get it? question off a past paper that it can't do.../ state pauli exclusion principle (can do that) and explain its consequence in an atom (can do that). Use it to determine the values of n, l ml and ms of 10 neon atoms placed in a box at...

Usual way of expressing pauli exclusion principle is, that the two identical fermions must be on different states. This seems a confusing statement, since the meaning of the term "different states" isn't very clear. Suppose I have two electrons, otherwise in the same states, but other one being...

I need to show: (\mathbf{\sigma} \cdot \mathbf{a})(\mathbf{\sigma} \cdot \mathbf{b})=\mathbf{a} \cdot \mathbf{b} I + i \mathbf{\sigma} \cdot (\mathbf{a} \times \mathbf{b}) where a and b are arbitrary vectors, sigma is the pauli spin operator. I was just wondering what the dot product...

Back in 2002, Lubos Motl wrote a paper on Title: An analytical computation of asymptotic Schwarzschild quasinormal frequencies Lubos Motl, Adv.Theor.Math.Phys. 6 (2003) 1135-1162 Recently it has been proposed that a strange logarithmic expression for the so-called Barbero-Immirzi parameter...

Homework Statement prove the idendity \sigma \times \sigma =i \sigma where \sigma is Pauli Spin matrices Homework Equations The Attempt at a Solution This is how I did..and I am getting 2 i \sigma instead of i\sigma ...

So it's apparently possible to prove that e^{-iAx} = cos(x)I + isin(x)A given that A^2=I. What I don't understand is how this is supposed to be derived. Any help would be appreciated as this is driving me nuts and this is probably something that is very easy to prove...

I only have applied courses of quantum physics, so in my textbook fundamentals are only briefly mentioned. In my textbook the following is said of the Pauli principle: I was wondering if someone can tip the veil of these arguments a little bit. Obviously, spin has a lot to do with it. I...

I am given the formula (valid for any a) A ( \vec{ \sigma } \cdot \vec{a} ) A^{-1} = \vec{ \sigma } \cdot R_A \vec{a} with [itex]A=exp(i \phi \cdot \vec{\sigma} /2) = exp(i \phi \vec{\sigma} \cdot \hat{n} /2)[/tex] R_A the rotation matrix and sigma the Pauli matrices. And am supposed to...

I'm looking for this paper in PDF or PS typefile: "W.Pauli and M. Fierz, Proc. Roy. Soc. (London) A73, 211 (1939)" It's very hard to find it from my place, so i'll be happy if somebody can post it or send it to me. Thanks, bye rrrr

Hello, I was wondering if the Pauli Exclusion principle still applies to electrons in a metal. My intitution tells me no since a magnetic field acting on a metal causes the electron spin to realign but I am not sure. Thanks, -scott

sometimes i think, would the pauli exclusion principle still apply if the fermions span a very large spatial distance? for example if i have a very very loooong chain of condensed electrons, wouldn't it be possible that the electrons at both ends occasionaly occupy the same quantum state?

Ok, I have a stupid question on pauli matrices here but it is bugging me. In a book I'm reading it gives the equation [\sigma_i , \sigma_j] = 2 I \epsilon_{i,j,k} \sigma_k , I understand how it works and everything but I do have a question, when you have k=i/j and i!=j (like 2,1,2) you get a...

Hi, I am having trouble understanding these concepts. I checked out some websites but it still doesn't help. First of all what's the main postulate? That there exist 2 different kind of particles: bosons and fermions? What are their fundamental definitions which lead to the fact that an integer...

Resders of the forum could enjoy this pdf http://documents.cern.ch//archive/electronic/other/pauli_vol3//sommerfeld_0463-2.pdf from http://doc.cern.ch/cgi-bin/setlink?base=pauli&categ=&id=sommerfeld_0463-2 In page 3 of the letter (1 of the transcripcion) you can read Pauli sentence of the...

I was wondering why electrons exsist in pairs in orbitals? Is it that since they both have opposite spins according to the Pauli Exclusion Priciple that they cancel each other out and create a more stable system? Thanks, -Scott

I don't understand how can atoms like heilium-4 which has same amounts of fermions behave like bosons and do not obey pauli's exclusion principle. Do the heilium physically stack up together like laser light, or does it just seem to do that? could someone please explain how superfluids work.

neutrons are fermions, with half spin, as such the must not occupy the same quantum state (meaning the wave functions can't overlap - atleast not with a big probability density portion of each other). so, if neutron star is in the most dense state it can get, meaning its degenerate and every...

The "Pauli exclusion principle" catastrophe. :!) Recent works with MOTTS have proved the inability of Pauli's work to account for experimental results on the field of high-temp superconductors. Could anyone add his or her own opinion about this? By the way, have any of you guys received...

i am learning Quaternion now for my EM course. Can someone enlighten me on the correspondence between Quaternion and Pauli Matrix algebra?

Does it include all types of particles? All atoms? Thank you.

I know I already posted this question, but it seems to have gotten "lost" among the other questions in the same thread. This is really confusing me now, so I'll ask it again. The pauli exclusion principle says that no two fermions can be in the same quantum state. But if we have three...

The Pauli exclusion principle states that no two fermions can have the same quantum state. My question is, if you could conceivable solve the wave equation for every electron in a large body, perhaps even the entire universe, does this mean that no electrons in that body can have exactly the...

:cry: We found that "tidy function" exists, when wave function intepreted as fi=X(1)X(2)alfa(1)beta(2) for two electrons is antisymetric and fill Pauli rule. But we were unable to find an simple explanation for it. And believe us, none book was able to "show us the door". Thanks for any...

I had a question about the pauli principle. Well, I know that it classify the particles into two groups named bosons and fermions and says that they have symmetrical or antisymetrical wave functions. My question is this: How did he say these? I mean, was it assumption that came true or just a...

I just finished a unit in statistical mechanics, and i have done some second year quantum mechanics and particle physics at university, however we have only been given the Pauli Exclusion principle and told that fermions obey it, but that bosons do not. My question is, does the Exclusion...

Does anyone know of an alternative way of calculating the Pauli spin matrices \mbox{ \sigma_x} and \mbox{ \sigma_y} (already knowing \mbox { \sigma_z} and the (anti)-commutation relations), without using ladder operators \mbox{ \sigma_+} and \mbox{ \sigma_- }? Thanks!

Could the Pauli exclusion principle be due to a force that has a 1 / r dependency where r is the distance between two electrons. Then in the case of electron degeneracy pressure in neutron stars could we say that uncertainty in momentum x uncertainty in position arises from a repulsive...

Ok, I'm working with the Pauli Matrices, and I've already gone through showing a few bits of information. I've got a good idea how to keep going, but I'm not exactly sure about this one-- say M= 1/2(alphaI + a*sigma) where alpha E C, a=(ax, ay, az) a complex vector, a*sigma=ax sigmax+ay...