Quantum Mechanics-Spin State for Identical Particles

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SUMMARY

The discussion focuses on the spin states of two identical spin-1 particles, specifically addressing the requirement for the total wavefunction to be symmetric for bosons. The participants clarify that the possible spin states for this system include symmetric and antisymmetric configurations, differing from the |0,0> or |1,M> states applicable to spin-1/2 fermions. The problem referenced is from David H. McIntyre's "Quantum Mechanics," specifically Problem 13.3, which emphasizes the importance of understanding the exchange symmetry in quantum systems.

PREREQUISITES
  • Understanding of quantum mechanics principles, particularly wavefunction symmetry.
  • Familiarity with spin-1 particle characteristics and their implications in quantum systems.
  • Knowledge of bosons and fermions, including their statistical behaviors.
  • Ability to interpret quantum state notation, such as |0,0> and |1,M>.
NEXT STEPS
  • Study the properties of identical particles in quantum mechanics.
  • Explore the implications of symmetric and antisymmetric wavefunctions in quantum systems.
  • Learn about the mathematical representation of spin states for spin-1 particles.
  • Investigate the differences between bosonic and fermionic statistics in quantum mechanics.
USEFUL FOR

Students of quantum mechanics, physicists specializing in particle physics, and researchers exploring the properties of identical particles will benefit from this discussion.

math_major_111
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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! :smile:
 
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