An Introduction to Thermal Physics
An Introduction to Thermal Physics
1st Edition
ISBN: 9780201380279
Author: Daniel V. Schroeder
Publisher: Addison Wesley
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Chapter A.3, Problem 12P
To determine

To Estimate:Minimum energy of a proton confined inside a box of fixed width.

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The general solution of the Schrodinger equation for a particle confined in an infinite square-well potential (where V = 0) of width L is w(x)= C sin kx + Dcos kx V2mE k where C and D are constants, E is the energy of the particle and m is the mass of the particle. Show that the energy E of the particle inside the square-well potential is quantised.
A particle with mass 6.65×1027 kg is confined to an infinite square well of width L. The energy of the third level is 2.00×1024 J. Calculate the value of L.
Assume that an atomic nucleus can be thought of as a three-dimensional box with a width of 2 x 10^-14 m. If a proton moving as particles in this box, specify : Energy is excited first and second.
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