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We have potential of V (x) = ( 0, 0 ≤ x ≤ a.   ∞, elsewhere. a) Find...

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Physics

We have potential of

V (x) = ( 0, 0 ≤ x ≤ a.
  ∞, elsewhere.

a) Find the ground state energy and the first and second excitedstates, if an electron is enclosed in this potential of size a =0.100 nm.

b) Find the ground state energy and the first and second excitedstates, if a 1 g metal sphere is enclosed in this potential of sizea = 10.0 cm.

c) Are the quantum effects important for both systems? Explainwhy or why not.

d) Use the uncertainty principle to estimate the velocities ofthe electron and the metal sphere.

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