(7) Consider a particle moving in an infinite square well potential (U₁ = 0) with walls at x = -L/2 and x = +L/2. (a) Write the wave functions and probability densities for the three lowest bound states in this potential (don't worry about normalizing them) (b) Sketch these wave functions and probability densities (c) If the ground state energy is 4.3 eV, what are the energies of the first two excited states?

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(7) Consider a particle moving in an infinite square well potential (U₁ = 0) with walls at x = -L/2
and x = +L/2.
(a) Write the wave functions and probability densities for the three lowest bound states in
this potential (don't worry about normalizing them)
(b) Sketch these wave functions and probability densities
(c) If the ground state energy is 4.3 eV, what are the energies of the first two excited states?
Transcribed Image Text:(7) Consider a particle moving in an infinite square well potential (U₁ = 0) with walls at x = -L/2 and x = +L/2. (a) Write the wave functions and probability densities for the three lowest bound states in this potential (don't worry about normalizing them) (b) Sketch these wave functions and probability densities (c) If the ground state energy is 4.3 eV, what are the energies of the first two excited states?
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