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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

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

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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 V(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 (at x=0).
Transcribed Image Text: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 V(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 (at x=0).
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