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Hi everyone,
Firstly, sorry if this seems a bit rushed, I don’t have much time in between shifts at work. You may have to refer to my links. But if needed, I will add more information later on.
I've been racking my head over this for the last month or so.
I’m kinda doing a private personal...
orbital movement occupy more space than spin movement.
If an object are running in both orbit and spin, how to stop orbit and transfer orbit energy to spin energy?
Of course the total angular momentum conserves.
I know new optical technology can convert spin energy into orbital energy, but it...
Consider a system with a mirror axis (bulk projected surface), I want to know the direction of spin polarization on the mirror axis. The result is that the spin is perpendicular to the mirror axis, but I don't understand the reason.
If someone have related references, please recommend to me...
Homework Statement
A microwave oven operates by injecting electromagnetic waves with a frequency of 2.45 GHz into the cavity formed by the conducting metal shields on each face of the oven box. Explain, with the aid of sketches and simple calculations, why it is generally necessary to rotate...
Homework Statement
Attached
Homework Equations
##J_+|j,m⟩ = ћ\sqrt{j(j+1)-m(m+1)} |j,m+1⟩##
##J_-|j,m⟩ = ћ\sqrt{j(j+1)-m(m-1)} |j,m-1⟩##
##J_z|j,m⟩ = mћ |j,m⟩##
##J^2|j,m⟩ = ћ^2j(j+1) |j,m⟩##
The Attempt at a Solution
Hi there,
For part a, the expression we're looking for is given, but...
Hello, i have to launch a ping pong ball for an engineering course. We have a system set up with two wheels spinning as fast as we can get them and a ping pong ball feeds between them and shoots. Our asignment is to create a model that shows distance shot related to the angle of launch. We also...
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
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...
Homework Statement
So I have two 1/2 spin systems A and B in a singlet state |\psi > = \frac{1}{\sqrt{2}} ( |+-> - |-+> ) . The question is: If I measured B and got S_{Bz} = 1/2 . What will I measure on state A on z axis?
Homework EquationsThe Attempt at a Solution
The answer I think is...
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...
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 am wondering something about the tree amplitude for exchange of a spin J resonance-- the basic calculation that exhibits the famous regge behavior. I see that one way to do the calculation is simply to note that the 4-point function for spin J exchange amongst massless particles arises from an...
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...
Hi,
Consider model of one dimensional spin chain with a random couplings J. The Hamiltonian is the following:
$$ H = \sum_i J_i (S_i^x S_{i+1}^x+ S_i^y S_{i+1}^y)$$,
Which by Jordan-Wigner transformation we can transform it to the fermionic representations.
$$ H = \sum_i J_j/2 (c_i...
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...
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?