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Many Particle in a one dimensional box

  1. Oct 19, 2013 #1
    Hi pf,

    I am just wondering how would the system be if i keep say 5 particles in a 1-D box. How would the wave functions be? Will quantum superposition happen? Entanglement? What about the energy levels? How would they be quantized? In short i want to know how would you solve the Schrodinger's Equation in a many particle 1-D box?
  2. jcsd
  3. Oct 19, 2013 #2
  4. Oct 19, 2013 #3
    You're crossing into the regime of statistical mechanics.

    Are the particles distinguishable?
    Do they interact? How?
    How big is the box?
  5. Oct 20, 2013 #4
    What if we consider two cases in which particles are identical and other in which they are not (distinguishable )? And as far as the box is considered, we may take any length say 'a' but in one dimension only.
  6. Oct 20, 2013 #5
    Elementary particles are treated as indistinguishable in quantum mechanics, provided that they are of the same type.

    Did you follow the link that I posted? It explains the problem well.
  7. Oct 20, 2013 #6


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