Consider a particle of mass m and energy E in a region where the potential energy is a constant UQ, greater than E, and the region extends to x = +∞. (a) Guess a physically acceptable solution of the Schrödinger equation in this region and demonstrate that it is a solution. (b) The region noted in pail (a) extends from x = +1 nm to +∞. To the left of x = 1 nm, the particle's wave function is D cos(l09 m-1,x). Is U(x) also greater than E here? (c) The particle's mass m is 10-30 kg. By how much (in eV) does U0, the potential energy prevailing from x = 1 nm to +∞, exceed the particle's energy?
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