Consider a system of 3 particles trapped in a box where there are 3 energy levels (non-degenerate and evenly spaced).  The particles could be fermions, bosons, or simply distinguishable particles...for each of these three scenarios: What is the occupancy of the first excited state for each scenario?

For a "particle in a box" of length, L, draw the first three wave functions and write down the wavelength of each. Confirm that the wavelengths for the nth level is given by 2L

Please do fast and add explanation and check answer properly......... Consider two identical particles trapped in a one - dimensional box of size a . Write the symmetric and antisymmetric total wave functions considering that a particle is in the ground state and the other is in the first excited state, demonstrating this property. Also check that these wave functions are normalized.

results. OAKL Consider a pne dimensional infinite-wall potential V = ∞ for > Land z<0, and V0 for There are two identical spin half fermions in this potential well and spin states are dened by) and 4) for spin up and down, respectively. a) (Very easy) Find the eigenvalues and the corresponding wave functions for the potential well. b) (Ensy) Write the full wave function for the fermions in singlet state with possible minimum energy. e) (Easy) Write the full wave function for the fermions in triplet state with possible minimum energy