# Questions tagged [spin-statistics]

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### Must conclusions from relativistic physics hold in non-relativistic physics?

Example: When one studies the spin statistics theorem, one of the phrases that's been repeated a lot was that "the spin statistics theorem was derived from relativistic physics... there's no way to ...
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### Why two spin-$1$ bosons could not be in a spin $\frac{1}{\sqrt{2}}(|1,0\rangle-|0,1\rangle)$ state?

Consider two boson of spin $1$ without angular momentum. I'm seeing an argument that "because those two particles were bosons, they must be symmetric under the exchange $m_1,m_2$. Thus they could ...
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### Spin Dynamics in strong magnetic Field

it is well known, that the spin of spinning particles such as electrons is aligned when placed in a strong magnetic field. In other words one says that the propability of measuring the electrons spin ...
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### Why are particles either bosons or fermions in spatial dimensions $d>2$ (in Wigner classification)

This questions might have been asked several times, but I haven't seen a mathematical point of view, so here it is. Based on Wigner classfication: A particle is a representation, because any theory ...
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### Is it known if the ground state of an arbitrary electronic many-body problem has antisymmetric spatial part?

For non-interacting electrons, Hund's rule (#1) says that the state with the highest total spin has the lowest total energy. For two independent electrons, it seems then that the electrons should be ...
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### Why is the normal argument for fermions/bosons wrong?

If we have a state $\psi(x_1,x_2)$ of two identical particles and an exchange operator $O$ which swaps the particles. Obviously the physics must be the same and hence $O$ can only introduce an ...
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### Fermionic vanishing VEV in conflict with spin-statistics proof?

I have what is hopefully a quick question. In Streater and Wightman's 1980 book PCT, Spin and Statistics and all that, they provide a proof of the PCT and Spin-statistics theorem by comparing vacuum ...
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### What does Baym mean here in his Lecture on Identical Particles?

I'm reading Lectures on Quantum Mechanics by Gordon Baym (1969). In his discussion of 3-identical fermions Baym writes: "One way to make $\Psi(1,2,3)$ [the total wave-function] antisymmetric is to ...
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### Weinberg Phys Rev 133, B1318 1964 - Spin Statistics

I have a question regarding Weinberg's derivation of the spin-statistics relation in the paper listed above (here at https://journals.aps.org/pr/abstract/10.1103/PhysRev.133.B1318). In this paper he ...
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### Linear response theory of spin Seebeck effect

I am trying to re-derive the expressions of linear response theory given in the following article: Theory of the Spin Seebeck Effect, Hiroto Adachi, Ken-ichi Uchida, Eiji Saitoh, Sadamichi Maekawa ...
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### $(-1)^{2j}$ in the Spin-statistics theorem - Weinberg/Novozhilov/etc

I am attempting to understand Weinberg's formulation of the spin-statistics theorem as presented in his book "The quantum theory of fields: foundations" pages 233-238. I have at my disposal all three ...
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### Hammersley-Clifford theorem and maximal entropy random walk for Ising-like models?

It seems that condensed matter people usually just brute force use Monte-Carlo, but there are some subtle mathematical tools which might be worth considering, for example: 1) Hammersley-Clifford ...
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### Spin-statistics theorem [closed]

I am an undergrad physics student I was curious about the validity of the Pauli exclusion principle and found that spin statistics theorem gives the prrof of this principle . What background do I need ...
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I am trying to understand the second quantization formalism. Let's say we have a system of fermions (e.g. electrons) with spin in an array of quantum dots. The creation and annihilation operators $c^{\... 2answers 185 views ### CPT transformation for bilinears In the page 5 of the document 'CPT Symmetry and Its Violation' by Ralf Lehnert (https://core.ac.uk/download/pdf/80103866.pdf), appears a discussion about how the spin-statistics theorem applies to the ... 1answer 565 views ### What is the spin-statistics theorem in higher dimensions? In$d = 3+1$dimensions, the spin-statistics theorem states that fermionic particles have half-integer spin and bosonic particles have integer spin, in a well-behaved relativistic quantum field theory.... 3answers 1k views ### Why are Spin 1/2 particles invariant to$4\pi$rotation loops while Spin 1 particles are invariant to$2\pi$loops? Why do Spin 1/2 particles when turning them by 360 deg get a phase factor of -1 and a loop of 720 deg leads to the identity while for spin 1 particles a loop of 360 deg gives already the identity? 1answer 83 views ### Is the spin-statistics theorem true for antifermions? The spin-statistics theorem says that having a system of identical fermions, the total wavefunction is antisymmetric with respect to exchange of any two fermions. My question is, does this hold for ... 0answers 65 views ### Particle statistics in fractal dimensions? [closed] We know that fermions and bosons are the only two (indistinguishable) particle statistics for$d\geq 3$, and that anyons are for$d=2.$What if the space were a fractal? Like the Sierpinski gasket, ... 2answers 207 views ### Spin statistics from the fundamental group of$SO(D)\$

I read the answer to this question and am very intrigued by its simple and elegant explanation of the emergence of anyon, boson & fermion statistics. @Trimok basically says: In a space-time ...
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### Identical Spin Fermions in the same orbital state: Finding total spin

Say we have two identical spin 3/2 particles in the same orbital state. What are the possible total spin? I know that there is a simple formula for adding angular momenta, but this breaks down when ...
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### Intuition behind Pauli’s Principle

While reading about electronic structure of multi-electron atoms, Pauli’s Principle comes out to be a very important feature. But it feels very vague as little explanation is given about it. I mean ...