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In: Physics

1- An electron moving in a metal nanowire is a reasonable approximation of a particle in...

1- An electron moving in a metal nanowire is a reasonable approximation of a particle in a one-dimensional infinite well. Suppose the electron is in a wire 10nm long. (a) Compute the ground-state energy for the electron. (b) The electron moves freely inside in metal nanowire. Find the electron’s velocity in ground state. c) If the electron’s energy is equal to 10 eV, what is the electron’s quantum number n?

2- Briefly explain the differences between quantum and classical thermodynamical approximation of electron energy.

3- Think about the electron where it is in first energy state in metal with length of L. (a) What would be the probability of finding it somewhere in the region 0< x< 3L/2? Find energy level corresponding energy state of the electron.

4- Find the second state electron energy (E2) by substituting the radial wave function R that corresponds to n=2 l=0 and mı=0

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genius_generous answered 2 years ago
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