Find the Spin Eigenvalues for Two Particles with Spin=1

In summary, the speaker needs help with a task for an exam involving particles with spin and the squared total spin eigenvalues. They are unsure of the English translation and will provide more information after the initial task is solved. They mention a German book and suggest the chapter on addition of angular momentum as a helpful resource.
  • #1
ATY
34
1
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 the spin quantum number s1=1 and s2=1.
a) Give the possible eigenvalues for the squared total spin (no idea how to translate this word correctly. In german it is "Gesamtspin"

I'll give you the other parts of the tasks after we hopefully manage to solve this, because this means that my translation is more or less ok.
 
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  • #2
ATY said:
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 the spin quantum number s1=1 and s2=1.
a) Give the possible eigenvalues for the squared total spin (no idea how to translate this word correctly. In german it is "Gesamtspin"

I'll give you the other parts of the tasks after we hopefully manage to solve this, because this means that my translation is more or less ok.

Start of using the template please. It's there for a reason.
Given the fact that your English is rusty I take it you are using a German book?

The chapter you are looking for is addition of angular momentum (gesamtdrehimpuls) https://de.wikipedia.org/wiki/Gesamtdrehimpuls
 

FAQ: Find the Spin Eigenvalues for Two Particles with Spin=1

What is the concept of spin eigenvalues for particles with spin=1?

The concept of spin eigenvalues refers to the intrinsic angular momentum of a particle, which is a quantum mechanical property that cannot be directly observed. For particles with spin=1, there are three possible spin eigenvalues: +1, 0, and -1. These values represent the projection of the particle's spin onto a specific axis.

How are spin eigenvalues measured or determined?

The spin eigenvalues of a particle with spin=1 can be measured through experiments that involve measuring the angular momentum of the particle in different orientations. This can be done using techniques such as Stern-Gerlach experiments or nuclear magnetic resonance (NMR) spectroscopy. Alternatively, spin eigenvalues can also be determined theoretically using the principles of quantum mechanics.

What is the significance of spin eigenvalues for particles with spin=1?

The spin eigenvalues of particles with spin=1 play a crucial role in determining the behavior of these particles in various physical systems. They are used to describe the state of a particle and are essential in understanding phenomena such as magnetic properties, atomic and molecular structures, and quantum entanglement.

Can particles with spin=1 have other spin eigenvalues besides +1, 0, and -1?

No, particles with spin=1 can only have spin eigenvalues of +1, 0, and -1. This is because the spin of a particle is quantized, meaning it can only take discrete values and cannot exist in between these values. Therefore, particles with spin=1 cannot have any other spin eigenvalues.

Are spin eigenvalues always conserved in physical systems?

Yes, spin eigenvalues are always conserved in physical systems. This means that the spin of a particle will remain constant unless acted upon by an external force. In quantum mechanics, spin is a conserved quantity, similar to other fundamental properties such as energy and momentum. This conservation of spin eigenvalues is a crucial principle in understanding the behavior of particles with spin=1.

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