Spin Definition and 1000 Threads

Just curious. Not sure if this has been discussed already, and I'm not sure what the phenomenon is called, but here's a description: I have a heavy gold class ring that I got from my alma mater. I put the ring face down on the desk, flat, and it can rest like that because the face of the ring...

In Newmann-Penrose formalism, a Null rotation with ##l## fixed is $$l^a−>l^a\\ n^a−>n^a+\bar{c}m^a+c\bar{m}^a+c\bar{c}l^a\\ m^a−>m^a+cl^a\\ \bar{m}^a−>\bar{m}^a+\bar{c}l^a$$ Using this transformation, how to prove? $$π−>π+2\bar{c}ϵ+\bar{c}^2κ+D\bar{c}$$ Ref: 2-Spinors by P.O'Donell, p.no, 65

https://www.sciencenews.org/node/20378 Y'all might find this interesting. John Conway and Simon Kochen's 1-0-1 theorem. I have no questions. Sorry.

I get the notion that an elementary particle derives from a localized perturbation of that particles quantum field. What I don't get is how that perturbation can lead to two alternative quantum states for that particle - for example, an electron with two spin states (spin up and spin down). Are...

Hi buddies. I recently finished my quantum mechanics course, however, I would like to know the solution of this exercise because i couldn´t solve it on my last exam, and i would like to take this doubt off. An operator ##F## describing the interaction of two spin ##\frac{1}{2}## particles has...

Hey, guys! I was recently reading (attempting) about spin groups. I heard a little bit about SO(3), but still don't know much. I was wondering if someone could explain what a spin group is and why it is useful? Is there some way to visualize spin groups? Please note: I know literally nothing...

I have just recently started learning about quantum contextuality and can only seem to find examples where contextuality is need to explain measurements of spin. So I am curious as to whether quantum contextuality only applies to measurements of spin? Also, If someone could clarify where the...

I'm looking for a description of properties such as colour and spin. Because we are warned these words do not describe the reality of the particles. i.e. an electron is not 'spinning' up or down. They are just handy words. Labels. So quarks are not 'up' or 'down'. When I read that...

Hello, I've been reading the Stern-Gerlach experiment, and where the concept of electron spin is introduced, am facing a problem, i.e., if you consider electron a charged rotating sphere, then the electromagnetic energy and size of the electron becomes huge! So how do you deal with this? Thanks...

Hello I am joining as a Project assistant on a project called "Search for spin liquid and other novel ground states arising from an interplay between electronic correlations, spin-orbit coupling and geometric magnetic frustration" what can i read to get onto the topic for it.

Hello, just as a thought, we are used to describe spin systems of either fermions or bosons (for example, the Ising or Heisenber models, where spins are considered to be all of the same type, in both cases fermions). However, I was wondering if it makes some sense to have a system where, for...

Homework Statement Homework Equations This is a passage from Modern Quantum Mechanics by Sakurai ( page 26~27) The Attempt at a Solution I wonder how i can get 1.4.8 , 1.4.9 equations . and what do they mean?

Homework Statement [/B] Taken straight out of Szabo and Ostlund's "Quantum Chemistry" problem 2.1: Given a set of K orthonormal spatial functions, \{\psi_{i}^{\alpha}(\mathbf{r})\}, and another set of K orthonormal functions, \{\psi_{i}^{\beta}(\mathbf{r})\}, such that the first set is not...

Homework Statement Show that for a two spin 1/2 particle system, the expectation value is \langle S_{z1} S_{n2} \rangle = -\frac{\hbar^2}{4}\cos \theta when the system is prepared to be in the singlet state...

Homework Statement Find the energy levels of a spin ##s=\frac{3}{2}## particle whose Hamiltonian is given by: ##\hat{H}=\frac{a_1}{\hbar^2}(\hat{S}^2-\hat{S}_x^2-\hat{S}_y^2)-\frac{a_2}{\hbar}\hat{S}_z## where ##a_1## and ##a_2## are constants. Homework Equations In the ##\hat{S}_z## basis...

Homework Statement A beam of spin 1/2 particles with speed v passes through a series of SGz devices. The first SGz device transmits particles with Sz = ħ/2 and filters out particles with Sz=-ħ/2. The second SGz device transmits particles with Sz=-ħ/2 and filters out particles of Sz=ħ/2...

Hi everyone. I'm just looking for schematics of cnot quantum gate, but on the Internet it only talks about it from a mathematical point of view. I want to ask you if you have some drawing, or schematics of it, from a "Physical" implementation, in the sense, how are the spins prepared, how we...

Hi guys! What would happen to objects on the Earth's surface if it SLOWLY stopped spinning and Earth's gravitational field was kept as always. Thx

4rth/5th coordinate?* Hi, I'm just wondering: if there is an entity in space, which can be located with Cartesian coordinates in the 3 dimensions of say, 2 right (from a seemingly arbitrary reference point), 2 up, and 2 forwards, then at this point (2, 2, 2), an entity could also be spinning at...

This is my attempt at understanding any real world physical effects from quantum spin. I will start with the short version first. A ... When we have a free floating electron in space is the physical orientation of the quantum spin axis locked into a fixed 3D orientation and from there can only...

Hi All Thanks for welcoming me to the physics forum. I am reading Greiner and Mueller's Quantum Mechanics: Symmetries and am stuck at not understanding the vector meson ( rho meson)'s spin states. For S=1 we get three states -1, 0, and 1. Prof. Mueller separated them as a rho +/-1, and rho 0 ...

Hi, this is my first message on thi forum :D I apologize in advance for my english. I'm doing my thesis work on the theory of relativity of Einstein-Cartan. I'm following the article of Hehl of 1976; it's title is "General relativity with spin and torsion: Foundations and prospects". I can't...

I'll start with this question, how much "mass" does something have to have before centrifugal force exceeds gravity on earth? I used basic physics of centrifugal force and gravity, used force vectors, and the math doesn't jive. This is what I mean. There are 2 forces on Earth that everything...

Hello everyone, In case of hydrogen atom, when we say spin up or spin down we refer to the z component of the spin. Why are we interested only in the z component of spin and not in the x and y components? Thanks in advance

So we obtain the perturbation Hamiltonian H as something proportional to S.L/r3 and the first order energy shift is then the expectation value of this perturbation Hamiltonian in the state that is being perturbed. So let a general gross structure state that we are perturbing be |n l ml s ms >...

Hello folks! New to this forum, so hoping I'm not retreading old ground. The Pauli matrices are spin angular momentum operators in quantum mechanics and thus are axial vectors. But in Clifford algebra in three dimensions they are odd basis elements and thus polar vectors. Hestenes, Baylis, other...

Homework Statement Consider the below network of spins, the spins numbered on the nodes of the diagram. The spins interact via the following Hamiltonian ##\mathcal H = \sum_{\langle i j \rangle} \sigma_i \sigma_j##, where the sum ##\langle i j \rangle## is over nearest neighbours and ##\sigma_i...

The more detail you can see the attachment. I don't understand why Rabi translate the state along z axial to H axial as shown the equations (8).

Does anyone know why time reversal requires spin to be flipped? It seems like my book assumes that, but I have no idea why.

Hi everybody. I have been reading about the Stern Gerlach experiment lately and a doubt has came to my mind. Is there any way to know the spin of an electron without forcing it to interact with a magnetic field? Thanks for reading.

Homework Statement Show that the determinant of a ##2 \times 2 ## matrix ## \vec\sigma \cdot \vec a ## is invariant under ## \vec \sigma\cdot \vec a \rightarrow \vec \sigma\cdot \vec a' \equiv \exp(\frac{i\vec \sigma \cdot \hat n \phi}{2})\vec \sigma\cdot \vec a \exp(\frac{-i\vec \sigma \cdot...

If spin is a quantum degree of freedom represented out of real space, why the real coordinates (x,y,z) are attributed to it? In other words, how can one say s_x, s_y, s_z?

Homework Statement Two particles, their spin are 1/2. The hamiltonian is ##H=\gamma s_1 \cdot s_2## At t=0, the state ##|\alpha(0)>## is such as ##s_{1z}|\alpha(0)>=\hbar/2 |\alpha(0)>## and ##s_{2z}|\alpha(0)>=\hbar/2 |\alpha(0)>##. Find the state ##|\alpha(0)>##.2. The attempt at a...

We know Sz = h/2 [1 0 // 0 -1] for up spin.So can we say that the energy of the electron in this state is h/2 ? (since Sz |up> = h/2 |up>)Now we consider a Hamiltonian H = [1 0 // 0 -1] which has eigen values +1, -1 and the respective states are (1 0) and (0 1). If we see the...

Homework Statement The momentum carried by an electromagnetic field is [;\vec{P}(\vec{x}, t) = \frac{1}{4\pi c} \int d\vec{x}\vec{E}(\vec{x},t) \times \vec{B}(\vec{x},t);] show that for a finite field extension [;\vec{J}(\vec{x}, t) = \frac{1}{4\pi c}\int -i...

What does and does not have intrinsic spin? Wikipedia Spin (Physics) https://en.wikipedia.org/wiki/Spin_(physics ) says: “In quantummechanicsand particlephysics, spinis an intrinsic form of angularmomentumcarried by elementaryparticles, composite particles (hadrons), and atomicnuclei.”But it...

Homework Statement How can I solve this hamiltonian equation? H= p2/2m +α/ħ (σxpy - σypx) + γ/ħ (σxpx - σypy) + βxσx + βyσy Homework Equations Rashba coupling effect equation: HR=α(σykx - σxky) The Attempt at a Solution H0=ħ2k2/2m + HR+ HD

okay , this question might look a little silly .. But i have been wondering about this for a while .. i know electrons move around the orbit because of the electrostatic force between electron and proton .. But what what makes an electron rotate about its axis ? i believe even without the spin...

Just reviewing some QM again and I think I'm forgetting something basic. Just consider a qubit with basis {0, 1}. On the one hand I thought 0 and -0 are NOT the same state as demonstrated in interference experiments, but on the other hand the literature seems to say the state space is...

Does a Buckyball spin like an electron or like a baseball? We are often told that an electron does not really spin like a baseball. Only one (or two, if you count up and down) spin states, for example. How about a Buckyball? Does it spin more like an electron, or more like a baseball? Where...

Assuming R-pairity and thus the creation/destruction of supersymmetric particles happens in pairs, how is angular momentum conserved when a particle and its supersymmetric partner have different spin by 1/2?

I'm a litte confused about spin triplet and singlet states. How do we know that for ↑↓+↓↑ the total spin S is 1, and for ↑↓-↓↑ the total spin S is 0? Also, how is total ms computed for these two states? (I understand that they are both 0, but not sure where that comes from) Thank you very much...

In my book (Griffiths) it is said : A particle is in ↑ state. The z-component of the particle's spin angular momentum [Sz] is h bar/2. The x- component of the particle's spin angular momentum [Sx] can be either h bar/2 or...

I have just started to study quantum mechanics, so I have some doubts. 1) if I consider the base given by the eigenstates of s_z s_z | \pm >=\pm \frac{\hbar}{2} |\pm> the spin operators are represented by the matrices s_x= \frac {\hbar}{2} (|+><-|+|-><+|) s_y= i \frac...

What does 'high spin' mean? I have heard of mono atomic gold having unusual properties. What is going on inside the atom?

Hello, I have read about Schrodinger's cat saying we do not know whether or not a particle has a spin up or spin down. It is only when we check it that we know which one it is. I understand the concept however I do not understand what do scientists mean when they say "spin up/down". What...

Does the orbital of an electron change when it experiences a spin-orbit interaction, and if so, how?

since a massless spin 2 field when perturbatively quantized gives rise to gravitons, which couple to everything and is identical to gravitation, is spacetime itself massless spin 2 field? do virtual graviton exchange also modify time and space?

In the stern-gerlach experiment, silver atoms with a +1/2 would be deflected up, and atoms with a -1/2 spin would be deflected down. With that in mind, would electrons' orbitals within an atom be affected by its spin?

Hey guys, I really need your help. I have an exam tomorrow and no idea how to solve this task. Sorry for my bad english (did not use it for a long time). I hope that I translated the task correctly so that you might be able to help me. So We have two particles with spin=1 which means they have...