Essential University Physics (3rd Edition)
Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Chapter 36, Problem 57P

(a)

To determine

The expression for the energy of highest-energy electron in system of N electrons in a harmonic oscillator potential in its state of lowest energy if N is even.

(b)

To determine

The expression for the energy of highest-energy electron in system of N electrons in a harmonic oscillator potential in its state of lowest energy if N is odd.

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An electron is confined to move in the xy plane in a rectangle whose dimensions are Lx and Ly. That is,  the electron is trapped in a two dimensional potential well having lengths of Lx and Ly. In this situation, the allowed energies of the electron depend on the quant numbers Nx and Ny, the allowed energies are given by  E = H^2/8Me ( Nx^2/ Lx^2 + Ny^2/Ly^2) i) assuming Lx and Ly =L. Find the energies of the lowest for all energy levels of the electron  ii) construct an energy level diagram for the electron and determine the energy difference between the second exited state and the ground state?
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Chapter 36 Solutions

Essential University Physics (3rd Edition)

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