Is SPIN a calculated or physically measureable characteristic?

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The discussion centers on the nature of "spin" in quantum mechanics, questioning whether its values (like 1 for photons and 1/2 for electrons) are derived from mathematical calculations or physical measurements. Spin is described as a measure of rotational motion and is fundamentally linked to angular momentum, with its values being a result of theoretical frameworks that align with experimental observations. The conversation highlights that while spin cannot be directly measured, its effects can be observed through interactions with other measurable properties, such as in NMR/MRI techniques. The distinction between spin values relates to the behavior of particles under rotation, with spin-1/2 particles requiring a 720-degree rotation to return to their original state. Overall, spin is a theoretical construct that has been validated through both calculations and experimental evidence.
  • #31


Tahnk you so much ... :approve:
 
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  • #32


hmmm ... that second one goes a bit further than I had in mind. I wanted you to see the Stern-Gerlach experiment done for electrons: let's you see why the property is called "spin".
 
  • #33
MY question is this ...
for example an electron behaves like a wave and a particle ...
how can we define electrons spin when it behaves like a wave ? ?
 
  • #34
radioactive8 said:
MY question is this ...
for example an electron behaves like a wave and a particle ...
how can we define electrons spin when it behaves like a wave ? ?
We can't and we don't.

Electrons have been observed to give results in some experiments that are normally associated with classical waves and classical particles. However, it is neither of these things. It is a fundamental or quantum-mechanical particle. Called "particle" for short.

Particles can have spin.

Particles have a fundamentally statistical nature which looks a lot like the results of classical wave equations - but it isn't: it has an entirely different origin. The QM "wave", though, is a wave function that can include the spin, where appropriate, as a parameter.

The phenomenon of electron spin is one of the things which highlights the distinction between quantum and classical behavior - look up "Stern-Gerlach experiment".
 
  • #35
what is spin and its associated things like momentum..?

hi

what does it mean by spin of +1/2 -1/2 ,0,1,2. and what is spin angular momentum and spin dipole momentum and what is the difference between orbital angular momentum and spin angular momentum and in same way what is the difference between orbital dipole momentum and spin dipole momentum.i know that they are intrinsic properties of an electron like mass and charge ,but I'm unable to visualize it and understand it as i did mass and charge..!
 
  • #36


It's impossible to visualize spin. Just think of it as a property. Some people think of it as a particle spinning about an axis, and while spin is technically angular momentum, this can be very misleading under some circumstances..
 
  • #37


then what does "orbital angular momentum " and "orbital dipole momentum" refers to..?.orbit is region of space where there is a probability of finding an electron.does a space aslo have angular momentum and dipole momentum as spin...?
 
  • #38


I suspect this may be misleading, but I have a feeling it isn't.

A way to visualize orbital angular momentum would be this. Take an object, put it on the end of a massless rope, swing it around. (A bit unrealistic, but the point still holds.) The orbital angular momentum will refer to the angular momentum from the spinning of the ball. In this case, orbital angular momentum would probably refer to the angular momentum of an electron from orbiting an atom's nucleus. Orbital dipole momentum I'm probably not the one to ask about.
 
  • #39
One more question ...
I know that the magnetic forces come from the electrons spin ... i want to know how can this happen ... Why are magnetic forces cauzed by the electrons spin ... ?
 
  • #40
radioactive8: It's more that we deduce the existence of the electron's spin by its reaction to a magnetic field. It is part of the QM properties of the electron - the wavefunction has a magnetic moment component.

Whovian: Electrons do not "orbit" their nuclei and electrons outside an atom still have spin.

ajayguhan: the terms are a historical leftover from the Bohr model of the atom. Quantum Mechanics has to have equivalent terms in order to replace Bohr theory.

We have to be careful making classical analogies of quantum behavior ... QM is a superset of classical mechanics so there will be some quantum phenomena that just cannot be modeled classically. That's why we have it. At some stage you just have to accept that quantum mechanics is weird - but accurate.
 
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  • #41
radioactive8 said:
One more question ...
I know that the magnetic forces come from the electrons spin ... i want to know how can this happen ... Why are magnetic forces cauzed by the electrons spin ... ?
Classically, magnetic fields are caused by currents. An electron with orbital angular momentum is moving and thus causes a current and a magnetic field.

In QM, we have a new type of angular momentum, which is a intrinsic property of particles independent of motion. This is the spin. So simplistically, we can say that in QM magnetic fields are not only caused by currents, but by any form of angular momentum.
 

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