In studying the emission of electrons from metals it is necessary to take into account the fact thatelectrons with energy sufficient to escape from the metal can, according to quantum mechanics,undergo reflection at the surface of the metal.Consider a one-dimensional model with the potentialV(x) = -Vo, x<0 (inside the metal) and V(x) = 0, x > 0 (outside the metal).a. Write the general solution for the wavefunction of an electron of energy E>0 for x<0.b. Write the general solution for the wavefunction of an electron of energy E>0 for x>0.c. Determine the reflection probability of an electron of energy E>0 at the surface of the metal (atx=0).

Given:Vx = −Vo , x<0 Region IVx = 0 , x > 0 Region IIEnergy of electron, E > 0…

Answered: In studying the emission of electrons…

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In studying the emission of electrons from metals it is necessary to take into account the fact that electrons with energy sufficient to escape from the metal can, according to quantum mechanics, undergo reflection at the surface of the metal. Consider a one-dimensional model with the potential