- #1

fog37

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My understanding is that, for a multi-particle system, the overall wavefunction HAS to be either symmetric or antisymmetric. A wavefunction that is neither symmetric or antisymmetric must be converted into one that is one of the two types depending on the type of particles. For example, if the particles are fermions, the wavefunction MUST be antisymmetric. If the particles are bosons, the wavefunction must be symmetric.

- Is this true for both non interacting and interacting particles of the same type? What if the particles were interacting? Would the antisymmetric/symmetric argument still hold?
- What if some of the particles were bosons and some were fermions? What type of total wavefunction would be required?

- In the previous posts, when discussing entanglement for two particles, we mention that a joint two-particle state that is separable, i.e. the product of two functions, is not entangled. Is that separable wavefunction symmetric, antisymmetric or neither? Bt isn't a product solution not an acceptable solution since if we interchanged the position variables ##x_1## and ##x_2## the pdf that we would obtain would change when it should instead remain the same since quantum particles are indistinguishable?