None An electron of mass m in a cubic box of side length (L) isperturbed in the direction and magnitudeH =x 8(x -)And that the eigenfunctions of a free electron in a box are0, = Esin=)and his eigenvaluesEn =2ml2Calculate the correction with energy of the first orderWrite the corrected energy for the first order and for casen=1Take advantage of the following relationshipf sin" (#=)8(x - )dz = sin'

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An electron of mass m in a cubic box of side length (L) is perturbed in the direction and magnitude H =x 8(x -) And that the eigenfunctions of a free electron in a box are 0, = sin#=) and his eigenvalues En = 2ml2 Calculate the correction with energy of the first order Write the corrected energy for the first order and for case n=1 Take advantage of the following relationship S sin² (x) (x - ) dz = sin°

An electron of mass m in a cubic box of side length (L) is perturbed in the direction and magnitude H =x 8(x -) And that the eigenfunctions of a free electron in a box are 0, = sin#=) and his eigenvalues En = 2ml2 Calculate the correction with energy of the first order Write the corrected energy for the first order and for case n=1 Take advantage of the following relationship S sin² (x) (x - ) dz = sin°

Modern Physics

3rd Edition

ISBN:9781111794378

Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer

Chapter8: Quantum Mechanics In Three Dimensions

Section8.1: Particle In A Three-dimensional Box

Problem 2E

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