# Quantum Mechanics-Spin State for Identical Particles

• math_major_111
In summary, the conversation discussed the spin states for a system of two identical spin-1 particles and whether they are symmetric or antisymmetric with respect to exchange of the two particles. The total wavefunction for bosons should be symmetric, resulting in possible spin states of |0,0> or |1,M>, similar to spin-1/2 fermions. The conversation also mentioned the importance of consulting notes or resources for further understanding.

#### math_major_111

Consider a system of two identical spin-1 particles. Find the spin states for this system that are symmetric or antisymmetric with respect to exchange of the two particles. (Problem 13.3, QUANTUM MECHANICS, David H. McIntyre)

I know that for bosons, the total wavefunction should be symmetric. Therefore, we can have symmetric or antisymmetric spin state. But are the possible spin states still |0,0> or |1,M>, which are for the spin-1/2 fermions? Any help will be appreciated!

## 1. What is quantum mechanics and how does it relate to spin states for identical particles?

Quantum mechanics is a branch of physics that describes the behavior of particles at the subatomic level. Spin states for identical particles refer to the intrinsic angular momentum of particles, which is a fundamental property of quantum mechanics.

## 2. Why is it important to study spin states for identical particles?

Studying spin states for identical particles is important because it helps us understand the behavior of particles at the quantum level and has practical applications in fields such as quantum computing and materials science.

## 3. What is the difference between spin states for identical particles and regular spin states?

The main difference is that spin states for identical particles take into account the symmetries and indistinguishability of particles, while regular spin states do not. This is because identical particles, such as electrons, cannot be distinguished from one another and therefore have to be treated differently in quantum mechanics.

## 4. How do spin states for identical particles affect the overall wave function of a system?

The overall wave function of a system is a combination of the individual wave functions of all the particles in the system. Spin states for identical particles can affect the overall wave function through the Pauli exclusion principle, which states that no two identical particles can occupy the same quantum state simultaneously.

## 5. Can spin states for identical particles be measured or observed?

No, spin states for identical particles cannot be directly measured or observed. This is because they are a quantum property and measuring one spin state will collapse the wave function and affect the other particles in the system. Instead, scientists use mathematical models and experiments to infer the spin states of identical particles.