We have potential of
v (x) = ( 0, 0 ≤ x ≤ a.
[infinity], elsewhere.
a) find the ground state energy and the first and second excited states, 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 excited states, if a 1 g metal sphere is enclosed in this potential of size a = 10.0 cm.
c) are the quantum effects important for both systems? explain why or why not.
d) use the uncertainty principle to estimate the velocities of the electron and the metal sphere.

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