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

We have potential of

V (x) = ( 0, 0 ≤ x ≤ a.
∞, 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.

Expert Solution

genius_generous answered 1 year ago

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