Wavefunctions for Indistinguishable and Distinguishable particles - URGENT 1. The problem statement, all variables and given/known data A one-dimensional potential well has a set of single-particle energy eigenstates Un(x) with energies En=E_o n^2 where n=1,2,3... Two particles are placed in the well with three possible sets of properties. a)2 distinguishable spin 0 particles b)2 identical spin 0 particles c)2 identical spin 1/2 particles Write down the spatial part of the two-particle wave functions at t=0 for the two lowest energy states of the two-particle system, and hence give the degeneracies of these energy states and explain how these two-particle wavefunctions depend on time 2. Relevant equations 3. The attempt at a solution I am getting incredibly confused by two-particle wavefunctions and between the spatial and spin states.... a) If there are 2 indenticle spin 0 particles: The wavefunction must be symmetric then would the wavefunction just be (|0>|1> + |1>|0>)/sqrt(2) b) 2 identicle spin 1/2 particles: The wavefunction must be antisymmetric due to Pauli Exclusion Principle so (|0>|1> - |1> |0>)/sqrt(2) c) 2 indistinguishable particles (boson or fermion) would it just be a wavefunction with 6 dimensions ie phi(r1,r2) How would you then write the spin part of the wavefunction...and how do they depend on time.... Realise this might be all wrong but I have an exam coming up and would REALLY appreciate someone clarifying this!