Two Identical Particles w/ Spin State s

In summary, the system of two identical particles with a spin, s, would have different outcomes depending on the symmetry of their spin states. For symmetric spin states (1/2 + 1/2), the total spin would be 1, while for antisymmetric spin states (1 + 1) the total spin would be 1. The ratio of symmetric to antisymmetric spins is determined by the hamiltonian and their respective energy states. In the case of vector sum, 1+1 would also result in a spin of 1.
  • #1
degerativpart
4
0
what would the system of two identical paritcles with a spin, let's say s? I figure its different for symmetrical and anti-symmetrical spin states but how do you deal with the defined spin state s.
 
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  • #2
It depends on the spin of the particles. 1/2 + 1/2 = 1 is symmetric,
but 1+1=1 is antisymmetric.
 
  • #3
How is 1 + 1 = 1?
The definition of an antisymmetric spin means that they are in different energy states.
S+1/S -- isn't this the ratio of symmetric to antisymm spins? How would you even begin to prove this?
 
  • #4
It depends on the hamiltonian which energy the different spin states posess!

1+1 = 1, if one does vector sum.
 

1. What is the spin state of two identical particles?

The spin state of two identical particles refers to the orientation of their intrinsic angular momentum, or spin, relative to a specified axis. This can take on values of s=0, 1/2, 1, 3/2, etc.

2. Can two identical particles have different spin states?

No, two identical particles must have the same spin state. This is a fundamental principle in quantum mechanics known as the Pauli exclusion principle.

3. How is the spin state of two identical particles measured?

The spin state of two identical particles can be measured using various techniques such as Stern-Gerlach experiments or nuclear magnetic resonance (NMR). These techniques involve applying a magnetic field to the particles and observing the resulting deflection or resonance, which is dependent on the spin state.

4. What are the possible outcomes when measuring the spin state of two identical particles?

The possible outcomes when measuring the spin state of two identical particles are either parallel or anti-parallel. This means that the spin of both particles is either aligned or opposite to each other, respectively.

5. How does the spin state of two identical particles affect their interactions?

The spin state of two identical particles can affect their interactions through the Pauli exclusion principle, which states that two particles with the same spin state cannot occupy the same quantum state. This plays a crucial role in determining the behavior of particles in systems such as atoms and molecules.

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