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An electron of mass m constrained to move only in the region x ≥ 0 is subjected to the following potential energy e² V(x) 4περχ (a) Find the value of 2 (in terms of fundamental constants) which makes the following wave function, (x) = 273/2xe-rx V_x20, an eigenfunction of the Hamiltonian operator. Then, state the corresponding energy eigenvalue for the electron in the state (x). (b) Verify if the electron in the state y(x) in Q1(a) satisfies the Heisenberg uncertainty principle. =