Spin 360 rotation - experiment

In summary, rotating an electron by 360 degrees causes its spinor to flip sing (\vert \psi \rangle \rightarrow -\vert \psi \rangle). Has this effect been observed experimentally (e.g. in an appropriate modification of the Stern-Gerlach experiment)?There have been some experiments in which the spinning electron was rotated around its spin axis by an angle of 360 degrees. The angular frequency of the precession is omega, and if spin g-factor becomes half, then the angular frequency becomes half. However, there are some problems with spin, such as the unequal distribution of charge and mass among electrons and the inability of electrons to scatter experiments. It is also difficult to measure
  • #1
neworder1
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Rotating an electron by 360 degrees causes its spinor to flip sing ([tex]\vert \psi \rangle \rightarrow -\vert \psi \rangle[/tex]). Has this effect been observed experimentally (e.g. in an appropriate modification of the Stern-Gerlach experiment)?
 
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  • #2
Hi neworder1! :smile:
neworder1 said:
Rotating an electron by 360 degrees causes its spinor to flip sing ([tex]\vert \psi \rangle \rightarrow -\vert \psi \rangle[/tex]). Has this effect been observed experimentally (e.g. in an appropriate modification of the Stern-Gerlach experiment)?

Wouldn't it be easier to send it along two paths, along one of which it is rotated in a magnetic field, then join them and see how they interfere?

(I assume it's been done, but I don't know)
 
  • #3
neworder1 said:
Has this effect been observed experimentally (e.g. in an appropriate modification of the Stern-Gerlach experiment)?

For electrons, I think it is difficult, and I don't know that experiment.

For neutrons, there are some experiments in which the spinning neutrons went back to the original forms when they are rotated by an angle of 4pai (not 2pai).
(H. Rauch et al. Phys.Lett. 54A (1975) 425)

But in this real world, is it really possible?

In these experiments, they rotated the neutrons around the spin axis by using " precession".
The angular frequency of the precession is

[tex] \omega = \frac{g \mu_N}{\hbar} H[/tex]

So, if spin g-factor becomes half, the angular frequency becomes half and the neutrons will go back to their original when they are rotated by 2pai (not 4pai).

There are some problems about spin.
For example, the electron spin g-factor is 2, so this means that the charge and mass of one electron is unequally distributed.
And the electron is too small by scatteing experiments, so by equating the spin angular momentum to 1/2 hbar, spinning sphere speed leads to more than 100 times the speed of light.

We can experimentally measure the (spin) magnetic moment.
If spin is simple circular movement like Bohr model, angular momentum becomes hbar (not 1/2 hbar) and (spin) g-factor becomes half (2 >> 1) (due to 2 x 1/2 = 1 x 1, the magnetic moment will not change).

Which case is more natural?
 

FAQ: Spin 360 rotation - experiment

What is the purpose of conducting a Spin 360 rotation experiment?

The purpose of this experiment is to analyze the effects of rotational motion on an object, and to understand the principles of angular momentum and torque.

How is the Spin 360 rotation experiment conducted?

The experiment involves rotating an object in a circular motion around a central axis, while measuring its angular velocity and acceleration using specialized equipment such as a gyroscope or accelerometer.

What are the possible applications of the Spin 360 rotation experiment?

This experiment has various applications in fields such as physics, engineering, and sports. It can help in understanding the motion of objects in space, designing stable structures, and improving athletic performance.

What are some variables that can affect the outcome of the Spin 360 rotation experiment?

The outcomes of this experiment can be affected by factors such as the mass and shape of the rotating object, the angular velocity and acceleration, and the presence of external forces such as friction and air resistance.

What are some safety precautions to keep in mind while conducting the Spin 360 rotation experiment?

It is important to ensure that the rotating object is securely fastened and that the equipment used is in proper working condition. Protective gear should also be worn to prevent any accidents or injuries.

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